Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Calculus
The altitude (in feet) attained by a model rocket t seconds into flight is given by the function h(t) = -1/3t^3 + 4t^2 + 20t + 2,for t _> 2 a)Find the maximum altitude attained by the rocket. b)Why does it not make sense to use this function after t = 16 seconds? Use the ...
Tuesday, April 2, 2013 at 1:35pm

pre calculus
2. Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range. y= -2 lxl +2 For example, if you were asked to graph y= x^2 + 1 using transformations, you would show the graph of y= x^2 and the graph shifted ...
Tuesday, April 2, 2013 at 11:00am

pre calculus
1.)A utility company has the following rate schedule for natural gas usage in a city’s business district: Monthly service charge: $8.80 Per therm service charge 1st 25 therms : $0.6686/therm Over 25 therms: $0.85870/therm (a) What is the charge for using 25 therms in one ...
Tuesday, April 2, 2013 at 10:57am

Math/ Calculus Please HELP!!!
An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be moving to the ...
Tuesday, April 2, 2013 at 1:30am

Math
An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be moving to the ...
Monday, April 1, 2013 at 11:01pm

Math/ Calculus Please HELP!!!
The following table gives the velocity v(t) (in feet per sec) at different instances of time t (in sec) of a particle moving along a horizontal axis. t 0 4 8 12 16 20 v(t) 43 42 40 35 25 5 Estimate the distance traveled by the particle between t = 0 sec and t = 20 sec using 5 ...
Monday, April 1, 2013 at 10:54pm

calculus
Consider a window the shape of which is a rectangle of height h surmounted by a triangle having a height T that is 1.1 times the width w of the rectangle If the cross-sectional area is A, determine the dimensions of the window which minimize the perimeter. h = w =
Monday, April 1, 2013 at 10:09pm

calculus
Flight Path. In this problem you will use a cosine function to model the flight path of a plane that begins its descent from 20000 ft when it is 45 miles from the airport. Find the fuction p(x)= ACos(wx)+B that that gives the altitude in ft when the plane is x miles from the ...
Monday, April 1, 2013 at 6:43pm

Calculus
Determine the equation ofthetangent line in slopeintercept form at x=1 of y^3 +2x^2=1 at x=1. Please show work so I can follow the process. Thanks!
Monday, April 1, 2013 at 2:22pm

pre calculus
If you are driving down a 10% grade, you will always be 10% below where you would have been if you could have driven on flat ground from where you started. Suppose you descend to where you are 20 feet below your starting point. What concept does the “grade” relate to...
Monday, April 1, 2013 at 9:17am

Calculus
does the series 1/(n^2+n) converge or diverge? n=2 to n=infinity
Sunday, March 31, 2013 at 10:35pm

Calculus
does the sum e^n / n! converge or diverge? n=1 --> infinity
Sunday, March 31, 2013 at 10:31pm

calculus
4x√(2x^2 + 2x - 1). find first derivative
Sunday, March 31, 2013 at 9:59pm

calculus
find the first derivative: 4xsqrt2x^2+2x-1.
Sunday, March 31, 2013 at 9:08pm

Calculus
find the 6th degree Taylor polynomial for f(x)=cosx centered at pi/2
Sunday, March 31, 2013 at 8:38pm

Repost- Already Solved-Calculus
is the inverse function of x+ floor(x) equal to x - floor (x/2) i got this after plotting points but i'm not sure. thank you Thank you 'gain!
Sunday, March 31, 2013 at 7:07pm

math calculus
Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (Round your answers to two decimal places. If an answer does not exist, enter DNE.) g(x) = (x^2 − 4)^2/3, [−5, 3] find absolute maximum (x, y) = ...
Sunday, March 31, 2013 at 5:37pm

Calculus-Inverse Functions
is the inverse function of x+ floor(x) equal to x - floor (x/2) i got this after plotting points but i'm not sure. thank you
Sunday, March 31, 2013 at 4:09pm

Calculus
The continuity of floor functions the function: x - floor(x) it is continuous on what interval? i got all real numbers except for integers. is this right. thank you.
Sunday, March 31, 2013 at 3:58pm

calculus
A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is increasing by 0.5 centimeters per second. What ...
Sunday, March 31, 2013 at 3:56pm

Calculus
THANK YOU TUTORS SO MUCH FOR YOUR HELP Determine the intervals on which the function is concave up or concave down. I finally understand that when f'' is greater than 0 it means concave up. f(X) = 18x^2 + x^4 so I differentiate that to be 36x + 4x^3 that is f' if I...
Sunday, March 31, 2013 at 3:42pm

Calculus
Determine the intervals on which the function is concave up and concave down f(x) = 17x^2 = x^4 by differentiating I get f'(x) = 34x+4x^3 and then I get lost. Can someone finish this up?
Sunday, March 31, 2013 at 3:02pm

Calculus
Determine the intervals on which the function is concave up and concave down f(theta) = 21theta + 21Sin^2(theta), [0,pi] I have tried to implicitly differentiate but I am getting nowhere,... can anyone please help?
Sunday, March 31, 2013 at 3:01pm

Calculus 3
The following parametric equations describe a portion of a shperical surface: x=4cosusinv y=4sinusinv z=4cosv where 0<=u<=pi/4 and 0<=v<=pi/2 Find the surface area of this portion of the sphere.
Saturday, March 30, 2013 at 4:51pm

Did I do this right?-Calculus
y' and y'' for x^2- xy + y^2 = 3 y'= (y-2x)/(2y-x) y'' = [(y'-2)(2y-x)] - [(2yy' - x)(y- 2x)]/ ((2x-y)^2) final answer for second derivative is: [2y^2- 5xy + 2x^2 - 2y^3 + 8xy^2 - 8x^2y/ ((2x-y)^3)] - [(4y + 2x + xy - 2x^2)/((2y-x)^2)] is this ...
Saturday, March 30, 2013 at 12:47pm

calculus optimization problem
A farmer has 460 feet of fencing with which to enclose a rectangular grazing pen next to a barn. The farmer will use the barn as one side of the pen, and will use the fencing for the other three sides. find the dimension of the pen with the maximum area?
Saturday, March 30, 2013 at 1:22am

Pre-Calculus
Solve the equation 4sin x = e^x on the interval (0, 1). Correctly rounded to two decimal places, x=
Friday, March 29, 2013 at 10:30pm

calculus
find the interval(s) where the following functions are increasing and decreasing. f(x)= x/4 + 4/x
Friday, March 29, 2013 at 5:30pm

calculus
Find a formula for the fourth degree polynomial p(x) whose graph is symmetric about the y-axis, and which has a y-intercept of 4, and global maxima at (1,6) and(-1,6).
Friday, March 29, 2013 at 3:55pm

Calculus HELP!!!
Here is the graph. h t t p : / /goo.gl/PTc2I (spaces added at the beginning so it could be added as a website) 1. Let g be the function given by g(x)=integrate from -4 to x f(t)dt. For each of g(-1), g'(-1), and g''(-1), find the value of state that it does not ...
Friday, March 29, 2013 at 11:51am

calculus
suppose the quantity demanded per week of a certain dress is related to the unit price p by the demand equation p=sqrt800-x. write the function that describes the revenue function? To maximize revenue how many dresses should be made and sold each week?
Friday, March 29, 2013 at 1:47am

pre calculus
Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. x^2+y^2-12x-4x+36=0 How on earth do I do this?
Thursday, March 28, 2013 at 8:58pm

calculus
determine the point of intersection of the tangents at the points of inflection to the curve f(x)= x^4 – 24x^2 – 2
Thursday, March 28, 2013 at 5:00pm

Simple Calculus
If f(x)=(x+1)^3(x^2-1)^2, what is the value of f'(2)? Details and assumptions f'(x) denotes the derivative of f(x).
Thursday, March 28, 2013 at 1:14am

Simple Calculus
Let y = x^3 + ax^2 + bx. If (x,y) = (2,64) is a point on the curve and the slope of the tangent at x=-1 is 3, what is the value of a+b?
Thursday, March 28, 2013 at 1:14am

Simple Calculus
Evaluate \displaystyle \lim_{x \to 0} \frac{\sqrt{2}x}{\sqrt{2+x}-\sqrt{2}}.
Thursday, March 28, 2013 at 1:13am

Simple Calculus
The sequence \{x_n\}_{n=1}^{n=20} is defined as x_n = (-1)^n n. What is the sum of all the terms in the sequence?
Thursday, March 28, 2013 at 1:12am

Calculus
Let N = \int \int \int_B xyz^2\ dV , where B is the cuboid bounded by the regions 0 \leq x \leq 1, -1 \leq y \leq 2 and 0 \leq z \leq 3. If N = \frac{a}{b}, where a and b are coprime positive integers. What is the value of a+b?
Wednesday, March 27, 2013 at 11:56pm

Calculus
The volume of the 3-dimensional structure formed by rotating the circle x^2 + (y-5)^2 = 1 around the x-axis can be expressed as V = a\pi^2. What is the value of a?
Wednesday, March 27, 2013 at 11:56pm

Calculus
Calculate the area of the common interior of r = 2sin(theta) and r = 2cos(theta)
Wednesday, March 27, 2013 at 9:56pm

Calculus
Find constants a and b in the function f(x)=axe^(bx)such that f(1/7)=1 and the function has a local maximum at x=1/7. a = b =
Wednesday, March 27, 2013 at 9:29pm

pre-calculus
partial fraction; use the rational roots theorem to factor denominator. x^3 + 2 ----------- x^4 +8x^2 +16 i got to that and im stuck Ax+B + Cx+D ---- ----- x^2 +4 x^2 + 4
Wednesday, March 27, 2013 at 8:16pm

Pre calculus
How do I solve this exponent problem? I understand the exponent rules, but I getting 1 but 1 is not the answer! I don't want anyone to solve the problem for me, I want to learn how to solve this type of problem. Thank you! Solve the equation: -8=-3-6 (3sqrtx^2) Thanks again!
Wednesday, March 27, 2013 at 5:47pm

pre calculus
consider the functions f(x)=x^3-3 and g(x)=3 sqrt x+3: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverses of each other. I really need help with these, I don't get it at all.
Wednesday, March 27, 2013 at 2:35pm

pre calculus
find the average rate of change of f(x)=x^3-5x+3: a. from -6 to -3 b. from -1 to 2 c. from 2 to 8 I am so lost, can someone please show me how to do this?
Wednesday, March 27, 2013 at 1:49am

pre calculus
for the given function f and g, find the specified value of the function. State the domain: f(x)=2x-5; g(x)=7x-9 a. (f-g)(x)= b.(f/g)(x)= I need help!
Wednesday, March 27, 2013 at 1:42am

calculus
The volume of the 3-dimensional structure formed by rotating the circle x^2 +(y−5)^2 =1 around the x-axis can be expressed as V=a*pi^2 . What is the value of a
Wednesday, March 27, 2013 at 1:36am

calculus
The volume of the 3-dimensional structure formed by rotating the circle x^2 +(y−5)^2 =1 around the x-axis can be expressed as V=að^2 . What is the value of a
Wednesday, March 27, 2013 at 1:35am

calculus
Calculate the equation of the tangent and normal lines for the curve f(x) = tan 2x, at the point where the x-coordinate is: x = π/8.
Wednesday, March 27, 2013 at 1:19am

Calculus
The volume of the 3-dimensional structure formed by rotating the circle x^2 + (y-5)^2 = 1 around the x-axis can be expressed as V = a\pi^2. What is the value of a?
Tuesday, March 26, 2013 at 11:38pm

pre calculus
use the seven step method to graph the following rational function: f(x)=3x^2+x-4/2x^2-5x a. determine the symmetry of the function. b. find the x and y intercepts. c. find the verticle asymptote d.find the horizontal asymptote e.plot the points between and beyond the x ...
Tuesday, March 26, 2013 at 11:35pm

math pre calculus
find the following for the function f(x)=(x+5)^2(x-2)^2 a.find the x and y intercepts, b.find the power function that the graph ressembles for large values of x c.determine the maximum number of turning points on the graph of f d.determine the behavior of the graph of f near ...
Tuesday, March 26, 2013 at 11:00pm

Calculus
Implicit differentiation of 5x^2-2xy+7^y
Tuesday, March 26, 2013 at 8:55pm

Pre-calculus
Convert from DMS to Radians 1)61degree 24' 2) 75degree 30' Convert from Radians to Degrees 1) 2 2) 1.3 Please Help me, just tell me how to solve them and do it in the calculator.
Tuesday, March 26, 2013 at 6:14pm

Calculus
What is the connection between improper integrals, Riemann sums, and the integral test?
Tuesday, March 26, 2013 at 5:58pm

Calculus 1A
I am trying to find: dy/dx for y = sec(tan x) I have the answer, but I have no idea how to get there. I know that the derivative of sec x = sec x tan x and that the derivative of tan x is sec^2 x. But sec doesn't have an x, so ...?
Tuesday, March 26, 2013 at 2:47pm

CALCULUS HELP URGENT!!
find y' if arctan(xy)=6+x^(4)y
Tuesday, March 26, 2013 at 1:43pm

calculus 1
differentiate x(x-3)^2 do I product and chain rule?
Tuesday, March 26, 2013 at 11:00am

Calculus-PLZ HELP! =)
does the sum 3/(2^(n)-1) converge or diverge? n=1--->infinity
Tuesday, March 26, 2013 at 10:10am

multivariable calculus
Consider the surface given by the equation: 2x2 - 3z2 - 4x -4y - 12z + 2 = 0 (a) Write in standard form ) (b) Determine and classify the traces with planes parallel to the xy-, xz- and yz- planes. (c) Hence classify the surface.
Tuesday, March 26, 2013 at 8:33am

multivariable calculus
Find the equation of the plane containing the points (1; 0; 0), (0; 2; 0) and (2; 1; 3).
Tuesday, March 26, 2013 at 8:31am

multivariable calculus
Describe the level surfaces of g(x; y; z) = x2 - 2y2 + z2
Tuesday, March 26, 2013 at 8:30am

Calculus
does the sum 3/(2^(n)-1) converge or diverge? n=1--->infinity
Tuesday, March 26, 2013 at 3:08am

Calculus
Is the series 2/ln(n) convergent or divergent? n=3 to n=infinity
Tuesday, March 26, 2013 at 2:39am

Calculus
Is the series 1/(n(n+1)) convergent? n=2 to n=infinity
Monday, March 25, 2013 at 10:14pm

Calculus II
Is the series 1/(n(n+1)) convergent? n=2 to n=infinity
Monday, March 25, 2013 at 9:23pm

Calculus II
Does 3/(2^(n) +1) diverge or converge in an infinite sum?
Monday, March 25, 2013 at 9:03pm

Pre-calculus.
Wesley and Delia are playing a math game. Wesley gives Delia these step to follow. Step 1: Multiply a number by 6 and then subtract by 4. Step 2: Divide the result by 2 Step 3: Add 3 to the result from the second step. If Delia's final answer is 19, What was the original ...
Monday, March 25, 2013 at 6:01pm

Calculus
The monthly demand function for a product sold by a monopoly is p = 3750 − 1/3x^2 dollars, and the average cost is C = 1000 + 70x + 3x^2 dollars. Production is limited to 1000 units and x is in hundreds of units. (a) Find the quantity that will give maximum profit. (b) ...
Monday, March 25, 2013 at 2:52pm

calculus
If f(3) =4 g(3)=2 f'(3)=6 and g'(3)=5 find the following number (f+g)' (3)
Monday, March 25, 2013 at 1:42pm

Calculus
F(x) log_3 (1-5x) F'(x)=
Monday, March 25, 2013 at 1:19pm

calculus
Find an equation of the tangent line to the curve at the given point. y^2=x^3 (2-x) (1,1)
Monday, March 25, 2013 at 12:16pm

calculus
The measurement of the radius of a circle is found to be 14 inches, with a possible error of 1/4 inch. Use differentials to approximate the possible error and the percentage error in computing the area of a circle.
Monday, March 25, 2013 at 12:26am

Calculus 2
Find the arclength of y=x^3/3+1/(4x) from 1 to 2. I know that arclength is the integral from 1 to 2 of the sqrt of (1 + (y')^2)dx, but have not been able to figure out how to evaluate the integral. Your help is much appreciated!
Sunday, March 24, 2013 at 11:44pm

Math/ Calculus Please HELP!!!
A truck driver, on assignment from the owner of the truck is to drive on a 300 mile stretch of highway at a constant speed of v miles per hour. According to road signs, the minimum speed allowed is 55 miles per hour and the speed limit is 70 miles per hour. The cost of gas on ...
Sunday, March 24, 2013 at 10:27pm

calculus
Find the integral. x^4/the square root of (x^5-1)
Sunday, March 24, 2013 at 8:56pm

Math- Calculus
find the dimensions of a rectangle of maximum size that will fit into a half circle of radius 30 cm.
Sunday, March 24, 2013 at 8:45pm

Calculus
A rectangular box with square base (which is NOT necessarily a cube) and NO top is to be made to contain 9 cubic feet. The material for the base costs $2 per square foot and the material for the sides $3 per square foot. Find the dimensions that minimize the cost of the box ...
Sunday, March 24, 2013 at 7:05pm

Calculus/ Optimization
A truck driver, on assignment from the owner of the truck is to drive on a 300 mile stretch of highway at a constant speed of v miles per hour. According to road signs, the minimum speed allowed is 55 miles per hour and the speed limit is 70 miles per hour. The cost of gas on ...
Sunday, March 24, 2013 at 6:35pm

Math- Calculus
A company offers the following charges: $54 per thousand for orders of 62000 or less with the charge per thousand decreased by 38 cents for each thousand above 62000. Find the order which will make the company's revenue a maximum.
Sunday, March 24, 2013 at 5:06pm

Math- Calculus
A company needs to produce a cylindrical can to hold water. It must have a volume of 500ml. The side of the can will cost 40$/m^2 to produce and the top and bottom of the can will cost 50$/m^2 to produce. Find the most economical dimensions.
Sunday, March 24, 2013 at 12:49pm

Calculus
an open topped cylinder has a volume of 125 cubic inches. determine the radius of the pot that will minimize it's surface area. What I have so far... radius =r keight =h V=πr²h 125/πr²=h SA = πr² + 2πr(h) = πr² + 2πr(125/&#...
Saturday, March 23, 2013 at 10:12pm

calculus
A polynomial function p(x) has a relative maximum at (3, -4) a relative minimum at (-1, -6), a relative maximum at (-5, 2) and no other critical points. How many zeros does p(x) have?
Saturday, March 23, 2013 at 3:54pm

Pre-calculus
1) What is the equivalent of this? -5x(2x+7y)+7xy-4x(y+3)
Saturday, March 23, 2013 at 2:26pm

Calculus
F(x)= ln((3x+6)^4 (x^3 -2)^5 ) F'(x)=
Saturday, March 23, 2013 at 1:41pm

calculus
Find dy/dx. 7xy^3 − x^2y = 6
Friday, March 22, 2013 at 8:32pm

calculus
Find dy/dx. y^3 = 8x^3 + 4x
Friday, March 22, 2013 at 8:31pm

calculus
Find the slope of the graph of the function at the given point. (If an answer is undefined, enter UNDEFINED.) x^3 + y^3 = 14xy, (7, 7)
Friday, March 22, 2013 at 8:29pm

Calculus 2
Hello, I don't know what test to use for this series: Determine the sum of the following series: inf E n=1 (2^n + 9^n) / 12^n thank you!
Friday, March 22, 2013 at 6:20pm

Calculus
Assume the dimensions of a rectangle are continuously changing in a way so that the area, A, of the rectangle remains constant. If the base of the rectangle is increasing at a rate of 3 inches per second, at what rate is the height of the rectangle changing at the instant when...
Thursday, March 21, 2013 at 10:12pm

calculus
A moving dot P departs from O at an initial speed of 6 m/s in the east direction and accelerates at 2 m/s^2 in the east direction. 2 seconds after P's departure, dot Q departs from O to chase down P at a constant speed of k m/s in the east direction. What is the minimum ...
Thursday, March 21, 2013 at 6:40am

calculus
What is the slope of the line tangent to the quadratic f(x)=4x^2−3x+6 at x=7?
Thursday, March 21, 2013 at 6:40am

Applied Calculus
2^(3/4)*4^(-3/2)
Thursday, March 21, 2013 at 1:33am

Calculus
Determine the function is concave upward and where it is concave downward f(x)= x / (x+1)
Wednesday, March 20, 2013 at 8:59pm

Calculus
Find the absolute maximum value and the absolute minimum value, f(x)= (x +1 )/ (x-1) on [2, 4]
Wednesday, March 20, 2013 at 8:56pm

Calculus
Find the absolute maximum value and the absolute minimum value, g(x)=1/8 x^2 - 4 x^(1/2) on [0, 9]
Wednesday, March 20, 2013 at 8:54pm

Calculus - Optimization
The cost of fuel for a boat is one half the cube of the speed on knots plus 216/hour. Find the most economical speed for the boat if it goes on a 500 nautical mile trip.
Wednesday, March 20, 2013 at 6:17pm

Calculus 2
solve this differential equation: dy/dt=0.06y(600-y) y(0)=10 y(t)=?
Wednesday, March 20, 2013 at 12:23pm

calculus
1. The radius of a sphere is r inches at time t seconds. Find the radius when the rates of increase of the surface area and the radius are numerically equal. A 1/4π in B 1/5π in C 1/3π in D 1/8π in E 1/2π in
Wednesday, March 20, 2013 at 5:10am

Calculus
Use implicit differentiation to write the slope-intercept equation of the tangent line to the graph of (x^2+4)y=8 at the point (2,1):
Wednesday, March 20, 2013 at 2:02am

Calculus
Use implicit differentiation to write the slope-intercept equation of the tangent line to the graph of (x^2+4)y=8 at the point (2,1):
Wednesday, March 20, 2013 at 1:59am

Tangent Lines (2)-Calculus
find an equation of the line tangent to y= sqrt(25-x^2) at the point (3,4) i got y= x/8 + 29/8 this is wrong. but im not sure why. can you explain thank you
Wednesday, March 20, 2013 at 12:35am

Tangent Lines-Calculus
a line is tangent to the curve y= (x^2 + 3)/ (x+3)^1/2 at the point where x=1. write the equation of this line i get y= 3x-1 yet it's wrong. please explain thank you
Wednesday, March 20, 2013 at 12:34am

Calculus
If a snowball melts so that its surface area decreases at a rate of 4 cm2/min, find the rate at which the diameter decreases when the diameter is 12 cm.
Tuesday, March 19, 2013 at 3:14pm

calculus
The total number of people infected with a virus often grows like a logistic curve. Suppose that 15 people originally have the virus, and that in the early stages of the virus (with time,t , measured in weeks), the number of people infected is increasing exponentially with K=1...
Tuesday, March 19, 2013 at 2:30pm

Clueless in calculus
The function f is defined by f(x)= (25-x^2)^(1/2) for -5 less than or = x less than or = 5 A) find f'(x) B) write an equation for the tangent to the graph of f at x=3 C) let g be the function defined by g(x)= (f(x) for -5<or=x<or=-3)and (x+7 for -3<or=x<or=5) D...
Tuesday, March 19, 2013 at 2:30pm

calculus
This is the question: "A new fruit juice (like a Popper) is to be marketed in a new container in the shape of a rectangular prism. The cardboard container is to have a square base and is to contain 300 mL of juice. What should be the dimensions of the container be if the ...
Tuesday, March 19, 2013 at 7:46am

calculus
assume that during the first 3 minutes after a foreign substance is introduced into the blood,the rate R'(t) at which new antibodies are produced(in thousands of antibodies per minute) is given by R'(t)=t/(t^2+1) where t is in minutes.find the total quantity of new ...
Tuesday, March 19, 2013 at 3:06am

calculus
A publisher prints and sells both hardcover and paperback copies of the same book. Two machines M and N are needed to manufacture these books. To produce one hardcover copy,machine M works 1/6 hours and N works 1/12 hours. For a paperback copy M and N work 1/15 and 1/16 hours ...
Monday, March 18, 2013 at 4:15pm

Calculus
A car accelerates from rest at the rate of 1.4 + 3 (root)t mph per second for 4 seconds. How far does the car travel in those 4 seconds?
Sunday, March 17, 2013 at 8:29pm

math - calculus BC
find a power series representation of: f(x)=((x^2)-1)*sin(x)
Sunday, March 17, 2013 at 1:49pm

calculus
a right triangle is formed in the first quadrant by the x- and y- axes and a line through the point (1,2). write the length of the hypotenuse as a function of x. find the vertices of the triangle such that its area is a minimum.
Sunday, March 17, 2013 at 10:18am

calculus
I have spilled 200cm^3 of vegetable oil on my kitchen floor. The resulting oil slick can be modeled as a cylinder with a very small height; the height is decreasing at a rate of 1/1000πcm/sec and the radius is currently 50cm. How quickly is the radius of the oil slick ...
Saturday, March 16, 2013 at 10:57pm

calculus
Consider the interval I=[6,7.6]. Break I into four subintervals of length 0.4, namely the four subintervals [6,6.4],[6.4,6.8],[6.8,7.2],[7.2,7.6]. Suppose that f(6)=19, f'(6)=0, f'(6.4)=−0.5, f'(6.8)=−0.1, and f'(7.2)=−0.1. What is the ...
Saturday, March 16, 2013 at 10:03pm

calculus
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 14 in. long and 6 in. wide, find the dimensions of the box that will yield the maximum volume. (Round your ...
Saturday, March 16, 2013 at 9:42pm

Calculus
given that f, g, and h are differentiable functions and f(g(h(x))) = x, what is h'(x) in terms of f, f', g, g', and h? I have on clue on how to even start it. please help . thank you.
Friday, March 15, 2013 at 10:59pm

Applied Calculus
A truck gets 800/x miles per gallon (mpg) when driven at a constant speed of x mph, where 40 ≤ x ≤ 80. If the price of fuel is $2.80/gal and the driver is paid $19/hr, at what speed is it most economical for the trucker to drive? (Round your answer to two decimal ...
Friday, March 15, 2013 at 1:02pm

calculus
write a simplified algebraic expression in terms of a and h to estimate the instantaneous rate of change of 8t(t+2)
Friday, March 15, 2013 at 11:37am

Calculus
The area bounded by the curve y = 2x^2-x^3 and line y=0 is rotated around the y-axis. The volume of the resulting structure can be expressed as V = a(pi)/b, where a and b are coprime positive integers. What is the value of a + b?
Friday, March 15, 2013 at 6:22am

Pre-Calculus
How would I write this in exponential form? log(3)1/27= -3
Friday, March 15, 2013 at 12:53am

calculus
R(t) = −131t − 749.5 million dollars per year and the rate of change in the annual operating profit may be modeled by P(t) = 12t + 76 million dollars per year, where t is the number of years since the end of 1999. Determine the accumulated change in annual ...
Thursday, March 14, 2013 at 8:55pm

Clueless in calculus
Let f be the function be defined by f(x)=5^((2x^2)-1)^(1/2) A) is f an even or odd function? Justify answer. B) find the domain of f. C) find the range of f. D) find f'(x)
Thursday, March 14, 2013 at 6:46pm

calculus
Let f be the function be defined by f(x)=5^((2x^2)-1)^(1/2) A) is f an even or odd function? Justify answer. B) find the domain of f. C) find the range of f. D) find f'(x)
Thursday, March 14, 2013 at 6:14pm

Calculus
Let f be the function be defined by f(x)=5^((2x^2)-1)^(1/2) A) is f an even or odd function? Justify answer. B) find the domain of f. C) find the range of f. D) find f'(x)
Thursday, March 14, 2013 at 5:45pm

Calculus
Let y=tan(2x+5). Find the differential dy when x=1 and dx=.3 Find the differential dy when x=1 and dx=.6
Thursday, March 14, 2013 at 4:49pm

Word Problem-Calculus
A spherical balloon is being inflated in such a way that its radius increases at a rate of 3 cm/min. If the volume of the balloon is 0 at time 0, at what rate is the volume increasing after 5 minutes? my answer is 45 cm/min. is this right. thanks
Thursday, March 14, 2013 at 2:13pm

Calculus
If f(3)=−3, g(3)=9, f′(3)=1, and g′(3)=2, Find (f/(f−g))′(3).
Thursday, March 14, 2013 at 12:54pm

calculus
A new college textbook edition typically generates most of its sales in the year of its publication. Sales drop off in subsequent years as a result of competition from the used book market. Suppose that the annual sales of a particular textbook may be modeled by S(t) = 30,000 ...
Thursday, March 14, 2013 at 12:17pm

Math
Can in a Cone Find the volume of the largest can that can fit entirely under a cone with volume 900 cubic cm. 1.draw pictures of at least THREE different cases (including the endpoints if any). 2. define all variables CLEARLY (with words) and then use those variables ...
Thursday, March 14, 2013 at 1:03am

calculus
The rate of change of an investment account earning continuous compound interest is given by dA/dt=kA where k is a positive constant. The initial account value was $2500. At the end of the third year, the account value was $4200. Find the particular solution to the ...
Wednesday, March 13, 2013 at 9:34pm

calculus
Based on data from 1999 to 2001, the rate of change in the annual net sales of Pepsi-Cola North America may be modeled by R(t) = −131t − 749.5 million dollars per year and the rate of change in the annual operating profit may be modeled by P(t) = 12t + 76 million ...
Wednesday, March 13, 2013 at 9:31pm

calculus
a) If x3 + y3 - xy2 = 5, find dy/dx. (b) Using your answer to part (a), make a table of approximate y-values of points on the curve near x = 1, y = 2. Include x = 0.96, 0.98, 1, 1.02, 1.04. (c) Find the y-value for x = 0.96 by substituting x = 0.96 in the original equation and...
Wednesday, March 13, 2013 at 9:12pm

Calculus
I'm extremely confused on what to do in part a of this question. Consider the curve given by x=3sin(theta), y=1+2cos(theta), 0<=theta<=3pi/2 (a) Eliminate the parameter and find a Cartesian (Rectangular) equation for the curve.
Wednesday, March 13, 2013 at 8:22pm

Calculus
A manufacturer produces bolts of fabric with a fixed width. The quantity q of this fabric (measured in yards) that is sold is a function of the selling price p (in dollars per yard), so we can write q = f(p).Then the total revenue earned with selling price p is R(p) = pf(p)....
Wednesday, March 13, 2013 at 7:56pm

Applied Calculus
A rectangular box is to have a square base and a volume of 50 ft3. The material for the base costs 32¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 26¢/ft2. Letting x denote the length of one side of the base, find a function...
Wednesday, March 13, 2013 at 5:04pm

True/False-2
A function can be continuous at every point of a deleted neighborhood of some point and still not have a limit at the point which is deleted. I'm not even too sure what this means in calculus terms. Can you please explain it better? Thank you.
Wednesday, March 13, 2013 at 2:23pm

calculus
as x-> + infinity (limit) 3x^4-2x^2/x^4+5x^2 i got positive infinity. is this right
Wednesday, March 13, 2013 at 12:44pm

calculus
Given ƒ(x) = 2x^2 - 3x - 1 find the slope and equation of the tangent line to ƒ at the point (1, -2)
Wednesday, March 13, 2013 at 5:56am

calculus
find the exact length of the curve y = ln(1-x^2), 0 <= x <= (1/2) So by doing the work I eventually get down to integral from 0 to 1/2 (1 + x^2)/(1-x^2) dx but I keep getting -1 + 1/(x-1) - 1/(x+1) after partial fractions which gives the answer ln(1/3) - 1/2 when I ...
Wednesday, March 13, 2013 at 3:46am

CALculus
A train driver is driving along and he suddenly puts on the brakes. After he holds the brakes for t seconds, the train's sliding distance can be measured as d(t)=30t−0.6t^2 (in meters). When the train stops, how far did the train slide (in meters) after the train ...
Wednesday, March 13, 2013 at 1:19am

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