Sunday
May 19, 2013

# Homework Help: Math: Calculus

In 1970, the total enrollment in public universities and colleges in a country was 5.1 million students. By 2004, enrollment had risen to 14.3 million students. Assume enrollment can be modeled by exponential growth. (a) Estimate the total enrollments in 1980, 1990, and 2000...
Saturday, May 18, 2013 at 7:22pm

ap calculus
Solve the integral ∫csc(z+π/6)cot(z+π/6)dz
Saturday, May 18, 2013 at 10:25am

Followup-Calculus-Extrema
Find and classify the relative maxima and minima of f(x) if f(x)= defint a=0 b=x function= t^2-4/(1+cos(t)^2) dt x^2-4/(1+cos(x)^2)= 0 x^2-4=0 x^2=4 x= +/- 2 So I got relative maximum as -2 and 2. And relative minimum as zero. However, when I graph it on Wolfram, it gives me ...
Friday, May 17, 2013 at 9:44pm

Pre-Calculus 11
In Triangle DEF, DE = 8cm and Angle D= 60 degrees. When EF = 7 cm, how many triangles are possible?
Thursday, May 16, 2013 at 7:11pm

Pre-Calculus 11
In Triangle DEF, DE = 11cm and EF = 9 cm. For which measure of angle D is it possible to draw two scalene triangles.
Thursday, May 16, 2013 at 7:08pm

calculus
In 1970, the total enrollment in public universities and colleges in a country was 5.1 million students. By 2004, enrollment had risen to 14.3 million students. Assume enrollment can be modeled by exponential growth. (a) Estimate the total enrollments in 1980, 1990, and 2000...
Thursday, May 16, 2013 at 6:55pm

calculus
please help me Asap In 1970, the total enrollment in public universities and colleges in a country was 5.1 million students. By 2004, enrollment had risen to 14.3 million students. Assume enrollment can be modeled by exponential growth. (a) Estimate the total enrollments in ...
Thursday, May 16, 2013 at 6:53pm

Calculus
Using the four-step process find f(x)= 13 I know it is 0 and how to do the 4-step process, I just don't know how to do it without an exponent. Help please!
Wednesday, May 15, 2013 at 2:07pm

Calculus
describe the surface and give traces : x = y^2 - 4z^2
Wednesday, May 15, 2013 at 1:33pm

Calculus
Three forces with magnitudes 75 pound, 100 lb, and 125 pound act on an object at angles of 30 degrees, -45 degrees, and 120 degrees respectively. Find the direction and magnitude of the resultant vector.
Wednesday, May 15, 2013 at 1:31pm

calculus-extrema
Find and classify the relative maxima and minima of this function f(x)= definite integral sign where a=0 and b=x. t^2-4/(1+(cos^2(t)) dt what should my value for u be? is it just t. not sure how to even tackle this problem.
Wednesday, May 15, 2013 at 10:50am

Calculus
An object is traveling along the x axis so that its speed is given by v(t)=t^2-7t+10 m/s. (a) Find the times when the object is at rest. (b) Find the acceleration at both of these times. Interpret the acceleration in terms of the motion of the object, ie whether the object is ...
Wednesday, May 15, 2013 at 10:36am

calculus solved
evaluate integral definite integral sign a=1 b=8 4(x^(2/3)+14)^3/((x^(1/3))) dx I get u= x^2/3 + 14 then du= 2/3 * x^(-1/3) dx 6 { u^4/4 | a=1 b=8 Then I get 3u^4/2 | a=1 b=8 2048-1.5= 2046.5 Is this correct. thank you all.
Wednesday, May 15, 2013 at 10:13am

Calculus help!
Three forces with magnitudes 75 pound, 100 lb, and 125 pound act on an object at angles of 30 degrees, -45 degrees, and 120 degrees respectively. Find the direction and magnitude of the resultant vector.
Tuesday, May 14, 2013 at 5:27pm

Calculus
Describe the surface and give traces: x = y^2 - 4z^2
Tuesday, May 14, 2013 at 4:29pm

calculus
Farmer Jones has 210 meters of fence. She wishes to construct a rectangular pen using the river as one side and dividing the pen into six separate rectangular pens as shown. What should the dimensions of the combined pens be to maximize the area enclosed? 7 vertical and one ...
Tuesday, May 14, 2013 at 3:51pm

calculus (gr 12)
the productivity of a person at work (on a scale of 0-10) is modeled by a cosine function: 5cos (pie/2t) +5, where t is in hours. If the person starts work at t=0, being 8:00 am, at what times is the worker the least productive? a) 12pm B) 10 am and 2pm C) 11 am and 3 pm D) 10...
Tuesday, May 14, 2013 at 11:00am

calculus
The marginal cost for a product is given by dC/dq = 1000/sqrt3q+20, in hundreds of dollars, where q is given in thousands of units. Determine the cost in dollars involved in increasing product from 10 to 15 thousand units. If R(0)= C(0)= 0, the marginal revenue is given by dR/...
Tuesday, May 14, 2013 at 7:29am

Calculus
Fuel is flowing into a storage tank which can be filled to a depth of 6 metres. When the fuel started flowing the tank was already filled to a depth of 2.5m. If the rate at which the depth of fuel in the tank is increasing, in metres per hour is given by d'(t) = 4t +5, ...
Tuesday, May 14, 2013 at 7:28am

Calculus
An object is traveling along the x axis so that its speed is given by v(t)=t^2-7t+10 m/s. (a) Find the times when the object is at rest. (b) Find the acceleration at both of these times. Interpret the acceleration in terms of the motion of the object, ie whether the object is ...
Tuesday, May 14, 2013 at 3:16am

Calculus
An object is traveling along the x axis so that its speed is given by 2 v(t) t 7t 10 m/s. (a) Find the times when the object is at rest.
Tuesday, May 14, 2013 at 3:13am

Calculus
An OPEN box has a square base and a volume of 108 cubic inches and is constructed from a tin sheet. Find the dimensions of the box, assuming a minimum amount of material is used in it's construction. HINT: the goal is to minimize the surface are of the OPEN box; this is ...
Tuesday, May 14, 2013 at 12:19am

Calculus-PLZ help!
Given u=3i-2j+k,v=2i-4j-3k, w=-i+2j+2k, 1 Find a unit vector normal to the plane containing v and w. 2 Find the volume of the parallelepiped formed by u, v, and w. 3 Are any of these vectors parallel? Orthogonal? Why or why not?
Monday, May 13, 2013 at 6:58pm

Calculus
If polynomial functions f(x) and g(x) satisfy d/dx {f(x)g(x)}=2x , f(0)=−3 , and g(0)=3,what is f(10)g(10) ?
Monday, May 13, 2013 at 4:14pm

Calculus
Fuel is flowing into a storage tank which can be filled to a depth of 6 metres. When the fuel started flowing the tank was already filled to a depth of 2.5m. If the rate at which the depth of fuel in the tank is increasing, in metres per hour is given by d'(t) = 4t +5, ...
Monday, May 13, 2013 at 10:10am

Calculus
The marginal cost for a product is given by dC/dq = 1000/sqrt3q+20, in hundreds of dollars, where q is given in thousands of units. Determine the cost in dollars involved in increasing product from 10 to 15 thousand units. If R(0)= C(0)= 0, the marginal revenue is given by dR/...
Monday, May 13, 2013 at 10:07am

Calculus
The acceleration due to gravity near the surface of Mars is 3.72ms^-2 . A rock is thrown straight up from the surface with an initial velocity of 23ms^-2 . How high does it go?
Monday, May 13, 2013 at 6:57am

Calculus
Given f(x)=1+2cos x , find the area under the curve y=f(x) between x = pi/2 and 2pi/3.
Monday, May 13, 2013 at 6:56am

Calculus
At time t = 0, a seed is planted. After t weeks, the height of the plant is given by f(t) = 0.3t² = 0.6t = 0.5 inches. At what rate is the plant growing after
Monday, May 13, 2013 at 6:49am

pre calculus
Cot 495 degrees... a) -tan 135 degrees b) -cot 135 degrees c) cot 135 degrees d) -cot 315 degrees
Monday, May 13, 2013 at 12:16am

Pre-calculus
The length of the radius of a circle is 12 cm at the measure of a central angle, alpha, is 5pi/6. What is the length of the intercepted arc?
Sunday, May 12, 2013 at 10:59pm

Pre-calculus
What is the general expression in degrees for the measure of all angles coterminal with alpha when alpha=173 degrees?
Sunday, May 12, 2013 at 8:59pm

Pre-calculus
Given that alpha=(14pi/3) what is the least positive angle coterminal with alpha?
Sunday, May 12, 2013 at 8:55pm

Math (Calculus) (Implicit Differentiation)
The equation of the line tangent to (x^2+y^2)^4=16x^2y^2 at (x,y)=(−1,1) is ay = bx + c, where a, b and c are positive integers. What is the value of a+b+c?
Sunday, May 12, 2013 at 12:37pm

Calculus
Estimate ç4 1 ln(x)−3dx using 6 midpoint rectangles
Sunday, May 12, 2013 at 6:33am

Calculus
ç1 0 x^2dx=1/3. Use this and the properties of integrals to evaluate ç1 0 10−2x^2dx
Sunday, May 12, 2013 at 3:23am

solve cosx= (squareroot3)/ 2 where 0 <(with a line underneath) x <(with a line underneath) 2 pie a) how many solutions are possible? b) in which quadrants would you find the solutions? c) determine the related angle for the equation. d) determine all the solutions for ...
Saturday, May 11, 2013 at 11:43pm

I need helping in filling in the blanks/ -the angle formed at the centre of the circle by two radii is the _______ angle. -cos delta, sin delta, tan delta are known as the ___________trigonometric ration -cos (pie/2 - x)=sinx is an example of a ________ identity
Saturday, May 11, 2013 at 11:42pm

math 160(buss calculus)
The demand function for a product is given by p = 10,000 [1 − (5/5 + e^−0.001x)] where p is the price per unit (in dollars) and x is the number of units sold. Find the numbers of units sold for prices of p = \$1000 and p = \$1500. (Round your answers to the nearest ...
Saturday, May 11, 2013 at 4:48pm

Calculus and Vectors
THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a dot b
Saturday, May 11, 2013 at 3:53pm

Calculus help!
Describe the following surface and give traces where available: 16x^2 + 16y^2 - 9z^2 = 0
Friday, May 10, 2013 at 11:12pm

Calculus
Describe the following surface and give traces if available. x^(2)-4z^(2)=4
Friday, May 10, 2013 at 10:47pm

calculus
The demand function for a product is given by p = 10,000 [1 − (5/5 + e^−0.001x)] where p is the price per unit (in dollars) and x is the number of units sold. Find the numbers of units sold for prices of p = \$1000 and p = \$1500. (Round your answers to the nearest ...
Friday, May 10, 2013 at 10:38pm

math calculus
The demand function for a product is given by p = 10,000 [1 − (5/5 + e^−0.001x)] where p is the price per unit (in dollars) and x is the number of units sold. Find the numbers of units sold for prices of p = \$1000 and p = \$1500. (Round your answers to the nearest ...
Friday, May 10, 2013 at 4:43pm

Pre-Calculus
I'm having trouble with this problem because I'm not sure what to do with the 1.. 21. (x-5)^2+(y+2)^2=1 (x-(5))^2+(y+2)^2= ???? center= (5,2) radius= ???
Friday, May 10, 2013 at 3:39pm

Pre-Calculus
I'm currently working with parabolas, and I'm not sure if I am doing this specific problem correctly.. 12. x= y^2-6y+6 y= -b/2a = 6/2(1)= 6/2= 3 x= (3)^2+6(3)+6 x= 33 y=3 (33,3) <--- what I graphed
Friday, May 10, 2013 at 4:20am

Let T be the triangle 1≤x≤2, 0≤y≤3x-3. Find the volume that results by rotating the triangle T around the line x=-1.
Thursday, May 9, 2013 at 11:56pm

MATH Calculus Homework #2
Let T be the triangle 1\le x\le 2, 0\le y\le 3x-3. Find the volume that results by rotating the triangle T around the line x=-1.
Thursday, May 9, 2013 at 8:02pm

Calculus Homework!
Find the area bounded by the curve y=x(2-x) and the line x=2y.
Thursday, May 9, 2013 at 7:32pm

MATH Calculus Homework
Find the area of the region between the curve y^2=4x and the line x=3.
Thursday, May 9, 2013 at 7:06pm

MATH Calculus Homework
Let R be the region between the graph of y=x3 and the x-axis, and between x=0 and x=1. Compute the volume of the region obtained by revolving R around the y-axis
Thursday, May 9, 2013 at 4:59pm

Maths (Calculus)
The motion of a particle performing damped oscillations is given by the formula y = e-t sin2t Where y - displacement from its mean position and t - time in seconds (a)determine the time at which the velocity of the particle is 0 (b)Determine if the displacement of the particle...
Thursday, May 9, 2013 at 4:15am

CALCULUS
Lim x->4 (x^2+3x+4)/5x-12
Wednesday, May 8, 2013 at 11:57pm

CALCULUS
Lim x->4 (x^2+3x+4)/5x-12
Wednesday, May 8, 2013 at 10:53pm

CALCULUS
lim x->2 f(x) where f(x) = { x^2-x-2/ 3x-6 , x<2 } {-1 , x=2 } {x+2/4 , x>2} is f(x) continuous at x = 2 ? explain..
Wednesday, May 8, 2013 at 10:47pm

Pre Calculus
Solve 2cos^2(2x)=1 I divided both sides by 2 and got this cos^2(2x)=1/2 But then I didn't know what to do after that... The part that has me stumped is that it's a cos^2(2x) not just a cos^2x. Any advice on what I should try next?
Wednesday, May 8, 2013 at 10:46pm

Pre Calculus
How does even multiplicity impact a graph?
Wednesday, May 8, 2013 at 10:36pm

Pre Calculus
How are the factors of a polynomial related to the x-intercepts of a polynomial? How do you find the x-intercepts given the factors?
Wednesday, May 8, 2013 at 10:26pm

Pre-Calculus
How does even multiplicity impact a graph?
Wednesday, May 8, 2013 at 9:45pm

calculus
hi im back.. solve cosx= (squareroot3)/ 2 where 0 <(with a line underneath) x <(with a line underneath) 2 pie a) how many solutions are possible? b) in which quadrants would you find the solutions? c) determine the related angle for the equation. d) determine all the ...
Wednesday, May 8, 2013 at 9:35pm

Math
This is gr 12 calculus btw I need helping in filling in the blanks/ -the angle formed at the centre of the circle by two radii is the _______ angle. -cos delta, sin delta, tan delta are known as the ___________trigonometric ration -cos (pie/2 - x)=sinx is an example of a ...
Wednesday, May 8, 2013 at 9:24pm

calculus
Hi i have two questions: what is the exact value of cos 5(pie)/12? what is the exact value of cos2(pie)/9 cos(pie)/18 + sin2(pie)/9 sin(pie)/18? thank you
Wednesday, May 8, 2013 at 9:11pm

calculus
Given ensuing information, determine the least cost and the least cost mix of on- and off-shore pipe. The intake facility is in the water 2 miles vertically north of the shoreline The water filtration plant is on land 1 mile vertically south of the shoreline The intake and ...
Wednesday, May 8, 2013 at 8:36pm

calculus
A kite with a string 80 feet long makes an angle of elevation of 40 degrees with the ground, assuming the string is straight how high is the kite? round your answer to the nearest foot
Wednesday, May 8, 2013 at 8:25pm

MATH
Solve the differential equations? (calculus) a) square root cotany/ (1+x^2)sin^5y dy/dx = e^x^3 +3x/ square root cotany b) y^2/cosx dy = e^sinx/ e^y^3-1 dx
Wednesday, May 8, 2013 at 7:58pm

calculus
Given ensuing information, determine the least cost and the least cost mix of on- and off-shore pipe. -The intake facility is in the water 2 miles vertically north of the shoreline -The water filtration plant is on land 1 mile vertically south of the shoreline -The intake and ...
Wednesday, May 8, 2013 at 7:10pm

calculus
a spring exerts a force of 150 N when it is stretched 0.4 m beyond its natural length. How much work is required to stretch the spring 0.9 m beyond its natural length?
Wednesday, May 8, 2013 at 5:09pm

Calculus
Using the equation x(t)= t^3 - 12t + 1, find the displacement during the first 3 seconds. And then find the velocity during the first 3 seconds. See, I know how to find velocity, but there's a question after that that says to find velocity when t=3...so how do you find it ...
Wednesday, May 8, 2013 at 4:33pm

MATH Calculus Homework
Find the area of the region between the curve y^2=4x and the line x=3.
Wednesday, May 8, 2013 at 4:18pm

calculus
16. Given the following information, determine the constant speed, travel time, and cost that represent the minimum one-way trip delivery cost. Fuel costs per hour are equal to V^2/600 V is the speed in miles per hour Driver (labor) costs are \$10 per hour One-way distance is ...
Wednesday, May 8, 2013 at 2:04pm

calculus
16. Given the following information, determine the constant speed, travel time, and cost that represent the minimum one-way trip delivery cost. Fuel costs per hour are equal to V^2/600 V is the speed in miles per hour Driver (labor) costs are \$10 per hour One-way distance is ...
Wednesday, May 8, 2013 at 1:38pm

calculus
what is volume of each drop (US unit)?
Wednesday, May 8, 2013 at 11:24am

Calculus 1
The velocity v(t) in the table is increasing,0<t<12 . Find an upper estimate for the total distance traveled using (a) n=4 (b) n=2 Which of the two answers is more accurate? t 0 3 6 9 12 v(t) 23 27 30 33 37
Tuesday, May 7, 2013 at 8:40pm

Calculus 1
A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the following velocities are recorded: Time since brakes applied (sec) 0 2 4 6 Velocity (ft/sec) 83 40 11 0 Give lower and upper estimates for the distance the car traveled after ...
Tuesday, May 7, 2013 at 8:37pm

AP CALCULUS
I have my test tomorrow. I am very weak at free response. What kind of question they ask in free response?
Tuesday, May 7, 2013 at 7:37pm

calculus
If the unicorn seat on a merry-go-round is 5 feet from the center, and the merry-go-round completes a full rotation in 6 seconds, how many feet does the unicorn travel in one second?
Tuesday, May 7, 2013 at 4:47pm

Calculus
A piece of wire 40 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is a maximum= minimum= Find the length of the wire used
Tuesday, May 7, 2013 at 5:48am

calculus
Set up the integral that would be used to find the volume of the solid obtained by rotating the region bounded by y=x^3 , y=8, and x=0 about the x=-4. use disk/washer method.
Monday, May 6, 2013 at 11:49pm

Fabio stands atop his 16 foot ladder when he realizes that the ladder is slipping down the side of the building. He decides that the base of the ladder is moving away from the bottom of the building at a rate of 2 feet per second when it is 3 feet from the bottom of the ...
Monday, May 6, 2013 at 7:43pm

Calculus
In a right triangle, if one leg (adjacent to 90 degrees) is 10cm, which is increasing at the speed of 2cm/s; and another leg is 24 cm, which is decreasing at 2cm/s. how fast is the hypotenuse changing at this time?
Monday, May 6, 2013 at 1:33pm

Calculus
A cone is inscribed in a sphere of radius a, centred at the origin. The height of the cone is x and the radius of the base of the cone is r, as shown in the diagram opposite. Find the height, x, for which the volume of the cone is a maximum. (HINT: show that the volume of the ...
Monday, May 6, 2013 at 7:11am

Calculus
A function is implicitly defined by x^2 - 4y^2 = 9 Find the equation of the tangent to the function at x = 1
Monday, May 6, 2013 at 6:33am

Calculus
if the surface area of a sphere is given by the formula SA=4pir^2, find the rate of increase of the surface area if the radius is 4 cm and is increasing at the rate of 0.5 cm/min.
Sunday, May 5, 2013 at 10:19pm

Calculus I
find the antiderivative of f(x)=(x^2)/(x^3+5) with explanation
Sunday, May 5, 2013 at 10:05pm

Calculus
A rectangle in the first quadrant has one vertex as the origin, and other vertex on the curve y= -x^2 -2x +4. If the rectangle has one side lying on the x-axis, find the largest possible area of the rectangle.
Sunday, May 5, 2013 at 9:39pm

Calculus
A rectangle in the first quadrant has one vertex as the origin, and other vertex on the curve y= -x^2 -2x +4. If the rectangle has one side lying on the x-axis, find the largest possible area of the rectangle.
Sunday, May 5, 2013 at 8:42pm

Pre-Calculus
45. log b sqrt 7x 46. log b sqrt (3/y) Could someone please explain these?
Sunday, May 5, 2013 at 8:10pm

Pre-Calculus
My book doesn't explain how to do these problems.. The examples they tell me to refer to have no relevance whatsoever. Any help would be appreciated. Use the power property to rewrite each expression. 17. log_3(x)^2 18. log_2(x)^5 19. log_4(5)^-1 20. log_6(7)^-2
Sunday, May 5, 2013 at 7:18pm

Maths (Calculus)
A current i = 50sin 100πt mA flows in an electrical circuit. Determine, using integral calculus, its a) Mean Value b) RMS Value each correct to 2 decimal places over the range t = 0 to t = 10 ms I need to do this two way so I was thinking of using the trapezoidal rule and...
Sunday, May 5, 2013 at 11:35am

Calculus
A right circular cone has a constant slant height of 12 feet. Find the radius of the base for which the cone has maximum value
Saturday, May 4, 2013 at 11:10pm

Math, Calculus
A right circular cone has a constant slant height of 12 feet. Find the radius of the base for which the cone has maximum value
Saturday, May 4, 2013 at 11:08pm

Calculus
1) Find correct to six decimal places root of the equation cos(x)= x for xE[0, pi/2] using Newton's Method. 2) A triangle has two constant lengths of 10 cm and 15 cm. The angle between two constant sides increases at a rate of 9 deg/min. Find the rate of increase of the ...
Saturday, May 4, 2013 at 10:32pm

Calculus-Solved - Incorrect
k(z)= 4z^4 - z(z+10)/((1+z)^2) derivative? 16z^3 + (3z^3 + 26z^2 + 42z + 10)/((1+z)^4) this is wrong though ^
Saturday, May 4, 2013 at 7:08pm

Calculus-Solved - Incorrect
calculate delta y for f(x)= x^(3/2) with x= 4 and delta x= dx=0.1 delta y= f(x+delta x)- f(x) = f(4.1) - f(4) delta y= f(4.1)-8 f(x + delta x)= 8 + 3/2*x^(1/2)*0.1 = 8 + 0.15x^(1/2) = 8 + 0.30 = 8.30 delta y= 8.30 - 8 delta y= 0.30 but this is wrong. why is it wrong?
Saturday, May 4, 2013 at 6:58pm

Calculus
Related Rates Problem An isosceles triangle with a base of 20root3 cm long. If the length of the leg decreases at rate 3 cm/h, find the rate of decreasing of the area of the triangle in the instant at which the triange becomes equilateral.
Saturday, May 4, 2013 at 6:58pm

Calculus-Solved-Why is this wrong?
use differentials to approximate the change in f(x) if x changes from 3 to 3.01 and f(x) = (3x^2-26)^10 derivative: 10(3x^2-26)^9 f(x+ delta x)= 1 + 10(3x^2-26)^9 * 0.01 = 1 + 10(0.01) <-- Substitute 3 for x = 1 + 0.1 = 1.1 delta y= 1.1 - 1 delta y= 0.1 but 0.1 is incorrect...
Saturday, May 4, 2013 at 6:53pm

Calculus-Solved
this is wrong. but can you explain how to correct it? thanks use differential of x^-1/3 to approximate solution to (1/cube root(7.952)) differential: df= -1/3(x^(-4/3)) * dx df= -1/48 * 0.0048 df= -0.001 0.500 - 0.001 = 0.499 but this is wrong.
Saturday, May 4, 2013 at 6:49pm

math 160(buss calculus)
my homework is due in 1 hour Let x = 1 and Δx = 0.01. Find Δy. (Round your answer to five decimal places.) f(x) = x/x^2 + 5
Saturday, May 4, 2013 at 3:47pm

calculus
please anyone help me out Consider the following. Function Point f(x) = 5x^2 − 4, (3, 41) Find an equation of the tangent line to the function at the given point. y = Find the function values and the tangent line values at f(x + Δx) and y(x + Δx) for Δx...
Saturday, May 4, 2013 at 3:01pm

math calculus
The concentration C (in milligrams per milliliter) of a drug in a patient's bloodstream t hours after injection into muscle tissue is modeled by C = 3t/26 + t^3 Use differentials to approximate the change in the concentration when t changes from t = 1 to t = 1.5. (Round ...
Saturday, May 4, 2013 at 2:58pm

calculus
Let x = 1 and Δx = 0.01. Find Δy. (Round your answer to five decimal places.) f(x) = x/x^2 + 5
Saturday, May 4, 2013 at 2:48pm

math calculus
The concentration C (in milligrams per milliliter) of a drug in a patient's bloodstream t hours after injection into muscle tissue is modeled by C = 3t/26 + t^3 Use differentials to approximate the change in the concentration when t changes from t = 1 to t = 1.5. (Round ...
Saturday, May 4, 2013 at 2:39pm

math calculus
The revenue R for a company selling x units is R = 700x − 0.1^x2. (a) Use differentials to approximate the change in revenue as the sales increase from 2900 units to 3000 units. dR = \$ (b) Compare this with the actual change in revenue. ΔR = \$
Saturday, May 4, 2013 at 2:35pm

calculus
Find any relative extrema and any points of inflection if they exist of f(x)=x^2+ ln x^2 showing calculus. Please show work in detail so I can follow. Thanks. The answer is no relative max or min and the points of inflection are (1,1) and (-1,1) but I'm having trouble ...
Saturday, May 4, 2013 at 1:12pm

calculus
for the next 7 years how much should I set aside sp that in years 7-12 i can make \$4,000.00/month payments?
Saturday, May 4, 2013 at 2:50am

Math Calculus
The function f is given by the formula f(x)=6x^3+17x^2+4x+21/x+3 when x<–3 and by the formula f(x)=2x^2–4x+a What value must be chosen for a in order to make this function continuous at -3?
Friday, May 3, 2013 at 9:19pm

calculus
The function f is given by the formula f(x)=6x^3+17x^2+4x+21/x+3 when x<–3 and by the formula f(x)=2x^2–4x+a What value must be chosen for a in order to make this function continuous at -3?
Friday, May 3, 2013 at 9:17pm

Calculus
Given the function f (x) = 3cos x for the interval 0 < x < 2 sketch the graph of the function
Friday, May 3, 2013 at 8:41pm

Elements of Calculus
I cant seem to figure this one out, please help. A company is manufacturing kayaks and can sell all that it manufactures. The revenue (in dollars) is given by R=750-(X^2/30) where the production output in 1 day is x kayaks. If production is increasing at 3 kayaks per day when ...
Friday, May 3, 2013 at 2:39pm

Elements of Calculus
A company is manufacturing kayaks and can sell all that it manufactures. The revenue (in dollars) is given by R=750-(X^2/30) where the production output in 1 day is x kayaks. If production is increasing at 3 kayaks per day when production is 40 kayaks per day, find the rate of...
Friday, May 3, 2013 at 2:31pm

calculus
Given the function f (x) = 3cos x for the interval 0 < x < 2pi, determine the concavity of the function, between the critical values
Friday, May 3, 2013 at 11:16am

Calculus
Use Newton’s method to approximate the root of x^2 + 4x + 2 = 0 between x = -4 and x = -3 .
Friday, May 3, 2013 at 10:04am

Find the Antiderivative of 3/(3x+5) with steps
Friday, May 3, 2013 at 12:23am

Calculus 1
Find the antiderivative of f(x)=5e^x-2secxtanx showing steps please
Thursday, May 2, 2013 at 11:35pm

Calculus
Find the Antiderivative of 3/(3x+5) with steps
Thursday, May 2, 2013 at 11:26pm

Calculus
lim x->0 (sinx)^x
Thursday, May 2, 2013 at 9:50pm

Elements of Calculus
A company is manufacturing kayaks and can sell all that it manufactures. The revenue (in dollars) is given by R=750-(X^2/30) where the production output in 1 day is x kayaks. If production is increasing at 3 kayaks per day when production is 40 kayaks per day, find the rate of...
Thursday, May 2, 2013 at 4:52pm

Calculus
function f(x)=x3x2−1 defined on the interval [−16,16] A. Find the vertical asymptotes of function f(x) B. Find where it is concave up C. Find the inflection points
Thursday, May 2, 2013 at 3:15pm

Calculus
function f(x)=x3x2−1 defined on the interval [−16,16] A. Find the vertical asymptotes of function f(x) B. Find where it is concave up C. Find the inflection points
Thursday, May 2, 2013 at 3:15pm

Calculus
Consider the lamina ( with uniform density .01m) having the shape of the region Q in the xy-plane: 1≤x^2+y^2≤4. The density at each point P varies directly with the distance from P to the origin, with density at the point P(2,0,0) being 10kg/m3.Find the polar ...
Thursday, May 2, 2013 at 3:03pm

Math-calculus
Evaluate ∫∫ln(x^2+y^2)/sqrt(x^2+y^2) dA where 1≤x^2 +y^2≤e
Thursday, May 2, 2013 at 2:51pm

Calculus
A cylinder is inscribed in a right circular cone of height 6.5 and radius (at the base) equal to 6. What are the dimensions of such a cylinder which has maximum volume?
Thursday, May 2, 2013 at 10:32am

Calculus
Differentiate ln(cos(2x))
Wednesday, May 1, 2013 at 2:30pm

English
what is the noun fuction of He must like studying calculus.
Wednesday, May 1, 2013 at 1:55pm

Calculus
find the equation of the tangent line to the graph of y= f(x) = ln (x)/x at the point (1,0)
Wednesday, May 1, 2013 at 1:39pm

Calculus
A particle moves along the curve y = sqr(1+x^3). As it reaches the point (2,3), the y-coordinate is increasing at a rate of 4cm/s. How fast is the x-coordinate of the point changing at that instant?
Wednesday, May 1, 2013 at 11:41am

Calculus
f(x)= e−(5x)⋅cos(3x)
Wednesday, May 1, 2013 at 11:10am

Calculus
Derive: F(x)= sqrt(3, 1 + tan(x))
Wednesday, May 1, 2013 at 10:47am

Pre-Calculus
Wednesday, May 1, 2013 at 12:59am

Calculus
A woman at point A on the shore of a circular lake with radius 2.5mi wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time. She can walk at a rate of 3.25 mi/hr and row at a rate of 2 mi/hr. Find shortest time.
Tuesday, April 30, 2013 at 4:19pm

Calculus
Find the dimension of a rectangle with perimeter 295 whose area is as large as possible
Tuesday, April 30, 2013 at 4:17pm

Calculus
A rancher wants to make an animal pen by fencing in an area of 2500000 square feet in a rectangular field and then divide it up with 5 fences down the middle parallel to one side. The rancher wants to use the shortest total length of fencing possible. If she accomplishes that...
Tuesday, April 30, 2013 at 4:15pm

Pre-Calculus
Find the inverse function for the function f(x)=2^(x)+1/2^(x)-1 You will need to use some properties of logarithmic functions to find the inverse of this particular function.
Tuesday, April 30, 2013 at 2:12pm

Calculus I
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=7x^5 y=7x, x is greater than or equal to 0
Tuesday, April 30, 2013 at 1:01pm

Calculus
A particle moves along the curve y = sqr(1+x^3). As it reaches the point (2,3), the y-coordinate is increasing at a rate of 4 cm/s. How fast is the x-coordinate of the point changing at that instant.
Monday, April 29, 2013 at 10:54pm

Calculus
Find dy/dx by implicit differentiation for x^2 - 2xy + y^3 = C
Monday, April 29, 2013 at 10:19pm

calculus
Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x.
Monday, April 29, 2013 at 9:53pm

calculus
use logarithmic differentiation to differentiate the function f(x)=2^x(x^2+2)^3(x^3-3)^7/(x^2+4)^1/2
Monday, April 29, 2013 at 8:40pm

Calculus
Evaluate the following limits (x^2 + 2x - 8)/x-2 Lim x->2
Monday, April 29, 2013 at 7:28pm

calculus
find the derivative of f for the function(x)= x^3-4x+2
Monday, April 29, 2013 at 5:25pm

Calculus
Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x.
Monday, April 29, 2013 at 4:40pm

calculus
Find the derivative y = e^(-5x) + cos^3 x F(x)= (x^2 -x+1)^3
Monday, April 29, 2013 at 11:51am

pre calculus
use the rational zeros theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers: f(x)=x^4+2x^3-7x^2-8x+12 I am totally lost, please help?
Monday, April 29, 2013 at 11:10am

pre calculus
find the following for the function f(x)=(x+3)^2(x-1)^2 a.) find the x and y intercept of the polynomial function f. b.)find the power function that the graph of f ressembles for large values of lxl. c.)determine the maximum number of turning pointsof the graph of f. d.) ...
Monday, April 29, 2013 at 10:38am

Calculus
Find the derivative y= a^3 + cos^3 X
Monday, April 29, 2013 at 10:25am

Calculus-Function
sketch the graph of a function in neighborhood x=2 that satisfies these conditions f(2)=3 f'(2)=2 f"(2)=-1 you can find a specific function that satisfies all of the given conditions i know the first derivative gives you critical points, and second derivative gives ...
Monday, April 29, 2013 at 12:22am

Calculus-Limits
i have no clue how to start it. rationalizing it seems to tedious. how do i do this thanks evaluate the limit as h -> 0 ((fourth root(3 + h) - 2(3+h) - fourth root(3) + 6))/h
Monday, April 29, 2013 at 12:19am

Calculus
Find dy/dx by implicit differentiation for x^2 - 2xy + y^3 = C
Sunday, April 28, 2013 at 10:18pm

Calculus
Consider the function f(x)=4(x−3^2/3. For this function there are two important intervals: (−‡,A) and (A,‡) where A is a critical number. Find A
Sunday, April 28, 2013 at 8:17pm

Calculus
Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any inflection points Please show me how u got this!
Sunday, April 28, 2013 at 7:34pm

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