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December 21, 2014

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

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Calculus
evaluate each of the following integral:- I= ∫((x^2+ 1)/(x^4+ 1))dx Y=∫(sinhxcoshx)dx/√(sinhx^4+​coshx^4)
Sunday, December 21, 2014 at 5:52am

Calculus
If 3x^2+y^2=7 evaluate ((d^2)y)/(dx^2) when x=1 and y=2
Sunday, December 21, 2014 at 3:27am

calculus
use implicit differentiation to find y=(x+8)^(3x)
Sunday, December 21, 2014 at 3:21am

Calculus
Determine the equation of the normal line y=x^2+5 at the point (2, 9) I got y= 4x+1
Sunday, December 21, 2014 at 3:12am

Calculus
Determine the intersection, if any, of the planes with equations x + y - z + 12 = 0 and 2x + 4y - 3z + 8 = 0. I have no clue where to even begin. If someone could help and give me the steps to complete it, that would be greatly appreciated. Do I have to first simplify the ...
Thursday, December 18, 2014 at 4:35pm

Calculus
Determine the intersection, if any, of the planes with equations x + y - z + 12 = 0 and 2x + 4y - 3z + 8 = 0. I have no clue where to even begin. If someone could help and give me the steps to complete it, that would be greatly appreciated. Do I have to first simplify the ...
Thursday, December 18, 2014 at 3:35pm

Pre-Calculus
Can you create another pair of six-sided dice (different from the standard dice) that produces the exact same probabilities of the sums two through twelve appearing? The only rule is that the numbers on each face must be positive integers. I've been attempting this problem...
Wednesday, December 17, 2014 at 11:36pm

Calculus
find the absolute extrema for f(x)= (5-x) with a closed interval of -1,2
Wednesday, December 17, 2014 at 10:21pm

AP AB Calculus
Linear approximation: Consider the curve defined by -8x^2 + 5xy + y^3 = -149 a. find dy/dx b. write an equation for the tangent line to the curve at the point (4,-1) c. There is a number k so that the point (4.2,k) is on the curve. Using the tangent line found in part (b), ...
Wednesday, December 17, 2014 at 9:16pm

calculus honor
If y = 2x3 – 4x and , find when x = 1. Give only the numerical answer. For example, if = 3, type only 3.
Wednesday, December 17, 2014 at 1:53pm

calculus honor
A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when the edge length of the base is 4 cm, the edge length of the base is increasing at ...
Wednesday, December 17, 2014 at 1:52pm

calculus
The height of a cylinder with a fixed radius of 6 cm is increasing at the rate of 3 cm/min. Find the rate of change of the volume of the cylinder (with respect to time) when the height is 20cm.
Wednesday, December 17, 2014 at 1:52pm

calculus
The area A = πr2 of a circular puddle changes with the radius. At what rate does the area change with respect to the radius when r = 5ft?
Wednesday, December 17, 2014 at 1:51pm

Calculus
Average value of f(x) = e ^ 4xsquared on the interval [-1/4,1/4]
Tuesday, December 16, 2014 at 10:15pm

calculus
No idea where to start The cost in dollars of producing x units of a particular camera is C(x) = x2 - 10000. (10 points) Find the average rate of change of C with respect to x when the production level is changed from x = 100 to x = 101. Include units in your answer. Find the ...
Tuesday, December 16, 2014 at 9:24pm

calculus
Do I just put in 3 for t? A ball is dropped from a tower 550 meters above the ground with position function s(t) = 4.9t2 + 550. What is the velocity of the ball after 3 seconds?
Tuesday, December 16, 2014 at 8:58pm

Calculus
Given the function f(x)= x√(x+3), Indicate the domain of f(x): ……………… ​3;……… What are the x – intercepts of the graph of f(x)? POINTS! ……………… ​3;…………. ...
Tuesday, December 16, 2014 at 7:11pm

calculus
A 25-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.18 ft/sec, how fast, in ft/sec, is the top of the ladder sliding down the wall, at the instant when the bottom of the ladder is 20 ft from the wall?
Tuesday, December 16, 2014 at 1:31pm

Calculus
Find the derivative of 1/(1+(x-3)^2) Steps would be appreciated.
Monday, December 15, 2014 at 9:07pm

calculus
there are no examples of this type of problem in my book so if you could help walk me through it - that would be extremely helpful. thanks ahead of time. Find the extreme values of the function on the interval and where they occur. 4) F(x)=³√(x); -3</=x</=64 A...
Monday, December 15, 2014 at 12:43pm

Calculus
Use linear approximation to approximate f(0.8) given f(x)=2x^3-3x+1 I'm not sure how to do it without a point given.
Monday, December 15, 2014 at 1:10am

Calculus (math)
The volume of the solid obtained by rotating the region enclosed by y=1/x4,y=0,x=1,x=6 about the line x=−2 can be computed using the method of cylindrical shells via an integral. it would be great if you can just even give me the function inside that I need to take the ...
Monday, December 15, 2014 at 1:02am

Calculus (math)
The velocity function (in meters per second) for a particle moving along a line is given by v(t)=t3−5t2. Find the displacement and the distance traveled by the particle during the time interval [-1,6]. Distance traveled = ?? I got 2089/12m as answer but it was incorrect ...
Sunday, December 14, 2014 at 11:45pm

Calculus (math)
A bacteria culture grows with constant relative growth rate. The bacteria count was 784 after 2 hours and 117649 after 6 hours. What is the relative growth rate? What was the initial size of the culture? Find an expression for the number of bacteria after t hours. Find the ...
Sunday, December 14, 2014 at 10:26pm

Calculus (math)
Warfarin is a drug used as an anticoagulant. After administration of the drug is stopped, the quantity remaining in a patient's body decreases at a rate proportional to the quantity remaining. Suppose that the half-life of warfarin in the body is 35 hours. Write a ...
Sunday, December 14, 2014 at 10:23pm

Calculus (math)
A tank in the shape of an inverted right circular cone has height 7 meters and radius 4 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is δ=...
Sunday, December 14, 2014 at 10:20pm

Calculus (math)
A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y=ax2 about the y-axis. If the dish is to have a 8-foot diameter and a maximum depth of 2 feet, find the value of a and the surface area (in square feet) of the dish.
Sunday, December 14, 2014 at 10:17pm

Calculus (math)
Consider the area between the graphs x+3y=35 and x+5=y^2. This area can be computed in two different ways using integrals
Sunday, December 14, 2014 at 9:52pm

Calculus (math)
Consider the area between the graphs x+3y=35 and x+5=y2. This area can be computed in two different ways using integrals
Sunday, December 14, 2014 at 9:51pm

Calculus
Show that Rolle's Theorem applies to the given function for the given values of x: x=-1 and x=4 for f(x)=3x-x^2+2.
Sunday, December 14, 2014 at 9:48pm

Calculus
Consider the function y = 3x5 – 25x3 + 60x + 1. Use the first derivative test to decide whether this function has a maximum at x = 1
Sunday, December 14, 2014 at 9:47pm

calculus
Given f(x,y,z)=<y,z^2-x,x> use stokes theorem to determine the flux integral curlF dot ds, where S is the graph of z=9 - x^2 - y^2 for z>=0 , oriented by the upward normal. please help!
Sunday, December 14, 2014 at 9:26pm

Calculus
Let f(x) be a polynomial function such that f(-2)=5, f'(-2)=0, and f"(-2)=3. The point (-2,5) is a(n)____of the graph f. A. Relative maximum B. Relative minimum C. Intercept D. Point of Inflection E. None of these
Sunday, December 14, 2014 at 8:56pm

Calculus
Use linear approximation to approximate f(0.8) given f(x)=2x^3-3x+1
Sunday, December 14, 2014 at 8:04pm

AP Calculus
The management of a large store has 1600 feet of fencing to fence in a rectangular storage yard using the building as one side of the yard. If the fencing is used for the remaining 3 sides, find the area of the largest yard possible.
Sunday, December 14, 2014 at 8:00pm

Calculus
Find the x-values where f(x)=x^4-8x^3 attains a relative minimum, relative maximum, and inflection points, if any. Justify your answers. My derivative test didn't seem right.
Sunday, December 14, 2014 at 7:58pm

Calculus
Show that Rolle's Theorem applies to the given function for ht eg oven values of x: x=-1 and x=4 for f(x)=3x-x^2+2
Sunday, December 14, 2014 at 7:54pm

Calculus
A baseball diamond is a square with side 90 ft. a batter hits the ball and runs toward first base with a speed of 24 ft/s. (a) At what rate is his distance from second base decreasing when he is halfway to first base? Is the answer 0.0932ft/s? I don't see that it is ...
Sunday, December 14, 2014 at 7:39pm

Calculus
A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1m/s,how fast is the boat approaching the dock when it is 8 m from the dock?
Sunday, December 14, 2014 at 6:19pm

Calculus
A baseball diamond is a square with side 90 ft. a batter hits the ball and runs toward first base with a speed of 24 ft/s. (a) At what rate is his distance from second base decreasing when he is halfway to first base? (b) At what rate is his distance from third base increasing...
Sunday, December 14, 2014 at 6:16pm

Calculus
A baseball diamond is a square with side 90 ft. a batter hits the ball and runs toward first base with a speed of 24 ft/s. (a) At what rate is his distance from second base decreasing when he is halfway to first base? (b) At what rate is his distance from third base increasing...
Sunday, December 14, 2014 at 5:50pm

calculus
The graph of a function f is shown. Use the differential equation and the given point to find an equation of the function. dy/dx=4x+(9x^2/(3x^3+1)^(3/2)) and the point (0,2) using the substitution method of integration.
Sunday, December 14, 2014 at 1:10pm

Calculus 1
A woman at a point A on the shore of a circular lake with radius r=4 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 the rate of 10mph and row a boat at 5mph. What is the shortest amount of ...
Saturday, December 13, 2014 at 10:09pm

Calculus
Find the length of the entire perimeter of the region inside r=15sin(theta) but outside r=1. I am not sure how to start the problem
Friday, December 12, 2014 at 6:02pm

Calculus
My question: An equation of the line tangent to the graph of f(x) = x(1 - 2x)3 at the point (1, –1) is?? My answer: y = –2x + 1
Thursday, December 11, 2014 at 9:11pm

Math-Calculus
Find the point on the line -2x + 4y + 3 =0 which is closest to the point (-2,1). Note: I have been struggling on this for hours!
Thursday, December 11, 2014 at 8:14pm

calculus
after t seconds the position of a particle which is moving along a straight line is x=2t^3-9t^2+12t+6, when is the acceleration zero? determine the velocity at that time.
Thursday, December 11, 2014 at 2:58am

Calculus
Hi! I need help with this problem: For 0(smaller or equal to) t (smaller or equal to) 9, a particle moves along the x-axis. The velocity of the particle is given by v(t)= (sin pi/4 t). The particle is at position x= -4 when t=0. a) For 0 (smaller or equal to) t (smaller or ...
Thursday, December 11, 2014 at 1:28am

calculus
lim(x tends to 3) (square root(x^2+7) -4) divided by (square root(x^2-8) -1) Pls help and list the steps. Thx
Wednesday, December 10, 2014 at 10:11pm

Calculus
If the y-coordinate at each point of inflection on the curve y=e^(-x^2) is 1/e^a, then a = ?
Wednesday, December 10, 2014 at 7:23pm

Calculus
This is a calculus homework question but in reality the problem here is understanding the algebra. Find the Critical Numbers of f(x) = x^(3/5)(4-x) The product rule gives -x^(3/5) + (12-3x)/(5x^(2/5) My booklet explains that simplifying this gives you 12-8x / (5x^(2/5). How ...
Wednesday, December 10, 2014 at 2:43pm

College Algebra
According to Newton's law of cooling, the rate at which an object cools is directly proportional to the difference in temperature between the object and the surrounding medium. The face of a household iron cools from 130° to 100° in 30 minutes in a room that ...
Wednesday, December 10, 2014 at 11:26am

Calculus
A deposit of $5,000 at 4% interest compounded continuously will grow to V(t) = 5000e^0.04t dollars after t years. Find the average value during the first 20 years (that is, from time 0 to time 20). (Round your answer to the nearest cent.)
Wednesday, December 10, 2014 at 6:18am

calculus
The position, in feet, of a target is given by s(t)=250-3t+9t^2+2t^3, where t is the time in seconds. The origin of coordinates is at the point where an observer stands, and the positive direction of movement is that one pointing EAST from the origin. What is the initial ...
Tuesday, December 9, 2014 at 10:35pm

Calculus angle of elevation
A man is walking towards a wall at 3 ft/sec while looking at a picture on the wall, at a height of 5 feet from the floor. How is the angle of observation changing when the man is 8 feet away from the screen.
Tuesday, December 9, 2014 at 10:12pm

Calculus- Tangent Line
What is the slope of the tangent line to the curve at the point (4, 0)? Okay, so I got 0.5, did I do this right?
Tuesday, December 9, 2014 at 2:54pm

Euler's method help in Calculus?????
Let dy/dx=xy . Use Euler's method with step size of 0.5 and the initial condition of y(0) = 3 to estimate y(2). I really am not sure if I did this right, but I got 3.4568 for y(2). I actually feel like it is wrong.
Tuesday, December 9, 2014 at 9:51am

Calculus
Y=2sinx-cos^2(x) F"(x)=-sinx+cos^2-sin^2(x) Find the points of inflection and concavities
Tuesday, December 9, 2014 at 2:28am

Calculus
Find the equation of the tangent line to the hyperbola 3x^2-4y^2=8 which is/are perpendicular to the line 2x-3y+6=0. Give the answers in general form.
Tuesday, December 9, 2014 at 2:04am

Calculus
lim (e^x+3x)^1/x as x approaches 0
Tuesday, December 9, 2014 at 1:58am

Calculus
Y=2sinx-cos^2(x) on [0, 2pi] How do you solve for the x-intercept
Tuesday, December 9, 2014 at 12:48am

General Calculus Question
How do you solve a limit when it approaches infinity and there is a square root in the denominator? say the highest power is x^2 in both the numerator and denominator.
Monday, December 8, 2014 at 11:10pm

AP Calculus
For the function y=4-2x^2+1/6x^4 find the following: Domain x and y intercepts Vertical asymptotes Horizontal asymptotes Symmetry F'(x) Critical numbers Increasing f(x) Decreasing f(x) Extrema F"(x) Possible points of inflection Concave up Concave down Points of ...
Monday, December 8, 2014 at 9:05pm

Calculus
A particle moves along line segments from the origin to the points (3, 0, 0), (3, 3, 1), (0, 3, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i + 5xyj + 4y2k. I have tried multiple times to solve this problem but the answer is still not right.
Monday, December 8, 2014 at 8:13pm

Calculus
Find critical points for y'=2/3x^3-4x
Monday, December 8, 2014 at 7:01pm

Calculus
A particle moves along line segments from the origin to the points (3, 0, 0), (3, 3, 1), (0, 3, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i + 5xyj + 4y2k. I have tried multiple times to solve this problem but the answer is still not right.
Monday, December 8, 2014 at 6:57pm

Calculus
So this one is confusing me: limit of n as it approaches infinity of (n{SIGMA}i=1) (1/(2^i) *the n is on top of the sigma notation and i=1 is at the bottom. I understand that 'i' would equal (n(n+1))/2 however the algebra from there confuses me.
Monday, December 8, 2014 at 5:54pm

calculus
A rectangular fence has to be built from both wood and metal so that opposite parallel sides of the fence are made from the same type of material. The wood costs $10 per foot and the metal costs $20 per foot of the fence used. If you only have $400 to spend on material, what ...
Monday, December 8, 2014 at 4:34pm

Calculus
I am trying to solve the following L'hopital's limits question below: lim x -> 0 from the positive direction of ( 5^(sin(x)) - 1 )/ (x)
Monday, December 8, 2014 at 10:14am

calculus
Previously asked: the length of a rectangular prism is increasing at a rate of 8 cm/s, its width is increasing at a rate of 3 cm/s, and its height is increasing at a rate of 5 cm/s. when the length is 20 cm, width is 10 cm, and height is 15 cm, how fast is the volume of the ...
Sunday, December 7, 2014 at 10:54pm

calculus
First, the bond pays 96 + 7 t per year for 10 years. Second, the interest rate is 5.25% compounded continuously. Round your answer to the nearest cent. Find the present value?
Sunday, December 7, 2014 at 10:11pm

Calculus
Find the area of the region bounded by the curves y=12-x^2 and y=x^2-6. Hint:The answer should be a whole number.
Sunday, December 7, 2014 at 9:12pm

Calculus
L'hopital's question below: lim x -> 0 from the positive direction of ( 5^(sin(x)) - 1 )/ (x)
Sunday, December 7, 2014 at 5:24pm

Math - Calculus
If 75100 dollars is deposited in an account for 13 years at 5.35 percent compounded continuously , find the average value of the account during the 13 years period. The average value in the account is ? ** im alittle confused in how to find the average value please help and ...
Sunday, December 7, 2014 at 2:20pm

Calculus
Find the average value of the function f(x) 8x^2-9x+8 on the interval [3,5]. Find the value of the x-coordinate at which the function assumes it's average value The average value is ? the x-coordinate is ? Please help and showing work is much appreciated. Thank you
Sunday, December 7, 2014 at 2:18pm

Calculus
Lines tangent to the curve y-1=2x^2+3x pass through the point A(2,-1). Find the x-coordinate(s) of the point(s) of tangency. The answer is 2+2^1/2, 2-2^1/2, I just don't know how to get there. Please help! Thank you!
Sunday, December 7, 2014 at 12:09pm

Pre calculus
at an archaeological site remains of plant material will found to have 28.9% of the amount of carbon-14 in a living sample. What was the approximate age of the plant material?
Saturday, December 6, 2014 at 10:40pm

calculus
the length of a rectangular prism is increasing at a rate of 8 cm/s, its width is increasing at a rate of 3 cm/s, and its height is increasing at a rate of 5 cm/s. when the length is 20 cm, width is 10 cm, and height is 15 cm, how fast is the volume of the rectangular prism ...
Saturday, December 6, 2014 at 8:45pm

calculus
definite integral of (e^(8x))cosh(8x)dx from 0 to 1/16 -I substitued the definition of cosh in, i.e. (e^(8x) + e^(-8x)/2 but i cant get the "e's" to combine and i know the answer is e/32
Saturday, December 6, 2014 at 4:23pm

Pre Calculus
You have been hired by the Humane Society to construct six 2 by 3 animal cages using 1400 feet of chain fence. Express the length and width using function notation. Include a graph with the area function with explanation of significance. Find the dimensions that maximize the ...
Friday, December 5, 2014 at 11:47pm

Calculus
Find the interval on which f(x)=xe^-x is increasing. I got (1,infinity)..
Friday, December 5, 2014 at 11:03pm

Calculus
On what intervals is the function f(x)=e^e^2 increasing? Concave upward?
Friday, December 5, 2014 at 9:31pm

calculus Please Help
The cost for a toy company to produce x Cosmic Starships is C(x) = 1400 + 6x − 0.01x2. What ​​is the marginal average cost function? Can someone please explain how to do this to I...
Friday, December 5, 2014 at 8:40pm

Calculus
Differentiate. cos^-1 2x
Friday, December 5, 2014 at 7:59pm

Calculus
Differentiate. cos^3x My answer: -3cos^2x sin^2x
Friday, December 5, 2014 at 7:44pm

Calculus
Find the interval on which f(x)=xe^-x is increasing. I got (1,infinity)..
Friday, December 5, 2014 at 7:36pm

Calculus
If f(x)=the sqrt of 3x,find f'(3). Isn't it 3/2•sqrt of 3?
Friday, December 5, 2014 at 7:27pm

Calculus Please Help
Can you please explain these two questions to me? Suppose the population size of a predator is given by P (x) = 0.006x2 + 0.005x, where x represents the population of its prey. If the population of the prey is 10,000 at the first of January and is reduced to 6,000 by May 1 of ...
Friday, December 5, 2014 at 12:41pm

Calculus
How do I find the area of the region bounded by the graphs of the given equations? y=x+20; y=x^2
Friday, December 5, 2014 at 2:51am

Calculus question please explain
I know the answer to the first one is "e" and the answer to the second one is "a "but I have no idea why please explain how to do these two problems. I am very confused with this method. Thank you! The “Cobb-Douglas” productivity function for a ...
Friday, December 5, 2014 at 1:36am

calculus
If sec x = -3, 0 < x < pi, find cot x.
Thursday, December 4, 2014 at 10:19pm

pre-calculus
6cos^2(x)-5cos(x)-6
Thursday, December 4, 2014 at 7:36pm

Calculus
can you show me the steps to evaluate this indefinite integral. s(e/x^4+pie^2/square root of x
Thursday, December 4, 2014 at 6:36pm

Calculus
The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x)=x(60x^2+30x), where x is the amount of cheese sold in hundreds of pounds. The "profit" is -$50 when cheese is sold. a. Find the profit function. P(x)= b. Find the profit from ...
Thursday, December 4, 2014 at 6:01pm

Calculus
a particle moves along the x-axis at a velocity of v(t)=1 sqrt(t), t>0. at time t=1 , its position is x=4. find the acceleration and position functions for the particle
Thursday, December 4, 2014 at 1:37am

Calculus
A sherman is in a rowboat on a lake and 3 km from shore. He wishes to reach a store 2 km down the (straight) shore. He can row at 5 km/h and run at 13 km/h. To what point down-shore should he row to get to the store as quickly as possible? 8. The cross-section of a tunnel
Wednesday, December 3, 2014 at 9:14pm

Calculus
With the following coordinates (16,46) (18,64) (20,60) create three formulas using Y+Ax^2+Bx+C then solve for A,B, and C to form the final equation.
Wednesday, December 3, 2014 at 4:19pm

CALCULUS - PLEASE HELP!
It is known that homing pigeons tend to avoid flying over the water in the daytime, perhaps because the downdrafts of air over water make flying difficult. Suppose a homing pigeon is released on an island at point C , which is 3 km directly out in the water from a point B ...
Tuesday, December 2, 2014 at 9:22pm

calculus 2
Find all points of intersection of the given curves. (Assume 0 ≤ θ ≤ 2π. Order your answers from smallest to largest θ. If an intersection occurs at the pole, enter POLE in the first answer blank.) r = 1 − cos θ, r = 1 + sin θ
Tuesday, December 2, 2014 at 8:32pm

Calculus
Differentiate. e^cos(x^2+1) Is the answer -2xe^cos(x^2+1) sin(x^2+1)?
Monday, December 1, 2014 at 10:10pm

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