Saturday
February 28, 2015

# Homework Help: Math: Calculus

Calculus
Find f"(x). f(x) = x^3 - (5/x)
Tuesday, November 11, 2014 at 10:12pm

calculus related rates
Boyle’s law for the expansion of a gas is PV = k, where P is the pressure (in pounds per unit of area), V is the volume of the gas, and k is a constant. Find the expression that shows the rate of change of the pressure as related to the rate of change of the volume. dP/...
Tuesday, November 11, 2014 at 9:24pm

calculus inverted cone
A container in the shape of an inverted cone has radius 6 ft and height 12 ft. It is being drained at 2〖ft〗^3/min. Find the rate of change of the height of the liquid in the cone when the height is 3 feet. The ratio of the radius to the height remains constant.
Tuesday, November 11, 2014 at 9:05pm

Calculus
Find the degree 3 Taylor polynomial approximation to the function f(x)=8ln(sec(x)) about the point a=0 .
Tuesday, November 11, 2014 at 2:36pm

Calculus
did i use the chain rule correctly? y=(8x^4-5x^2+1)^4 d(f(x)/dx =d/dx ((8x^4-5x^2+1)^4) =4*(8x^4-5x^2+1)^3*d/dx(8x^4-5x^2+1) =4*(8*d/dx(x^4)-5*d/dx(x^2))*(8x^4-5x^2+​1)^3 =4*(8*4x^3-5*2x)*(8x^4-5x^2+1)^3 =4*(32x^3-10x)*(8x^4-5x^2+1)^3
Tuesday, November 11, 2014 at 2:11am

Calculus
How do I find the derivative of y=(8x^4-5x^2+1)^4
Tuesday, November 11, 2014 at 1:19am

Calculus
What does this equation mean? X = Cos (T) * Phi ^ ((2 / Pi) * T) Y = Sin (T) * P
Monday, November 10, 2014 at 11:07pm

Calculus
can you show me how to solve an equation using the chain rule
Monday, November 10, 2014 at 10:13pm

Calculus
can you please explain the chain rule in simple terms. thank you
Monday, November 10, 2014 at 9:28pm

calculus
A wire 360cm is cut into two pieces.One piece is formed into a square and the other is formed into a circle.If two figures have the same area,what are the two lenghts of two pieces of wire( to the nearest hundreth of centimeter?,show all the necessary working clearly.
Monday, November 10, 2014 at 11:54am

Calculus
Hello. I have a few questions from my study guide, that I need to know to study for my test. 1) x^(2/3)*((5/2)-(x) a) determine the ordered pairs of the local extrema of the function. Use the second derivative test. B) determine the ordered pairs of all inflection points of ...
Monday, November 10, 2014 at 11:48am

Calculus angle of elevation with elevator
An observer is 20m above the ground floor of a large hotel atrium looking at a glass-enclosed elevator shaft that is 18m horizontally from the observer. The angle of elevation of the elevator is the angle of the observer's line of sight makes with the horizontal (it may be...
Monday, November 10, 2014 at 11:16am

Calculus angle of elevation
An observer is 31m above the ground floor of a large hotel atrium looking at a glass-enclosed elevator shaft that is 22m horizontally from the observer. The angle of elevation of the elevator is the angle of the observer's line of sight makes with the horizontal (it may be...
Monday, November 10, 2014 at 10:45am

calculus
find the derivative of the function y=(3x+4)^5(4x+1)^-2
Monday, November 10, 2014 at 1:01am

calculus
An observer is 20 m above the ground floor of a large hotel atrium looking at a glass-enclosed elevator shaft that is 20 m horizontally from the observer (see figure). The angle of elevation of the elevator is the angle that the observer's line of sight makes with the ...
Sunday, November 9, 2014 at 11:41pm

Calculus
BoxedNGone truck rentals calculates that its price function is p(x)=160-2x,where p is the price (in dollars) at which exactly x trucks will be rented per day. Find the number of trucks that BoxedNGone should rent and the price it should charge to maximize revenue. Also find ...
Sunday, November 9, 2014 at 10:57pm

calculus
find the derivative of the function y=(4x+3)^5(5x+2)^-4
Sunday, November 9, 2014 at 6:30pm

calculus
find the derivative of the function y=log absolut power 2-x
Sunday, November 9, 2014 at 2:45pm

Calculus
find the derivative of y= x^3+8/x+2 the / is meant to be a fraction bar, I am really really bad at finding the derivative of a fraction function, could you help by showing me exactly how, Thanks
Sunday, November 9, 2014 at 2:33pm

calculus
find the derivative of the function s=t^9lnabsolut power t
Sunday, November 9, 2014 at 1:54pm

calculus
find the derivative y=ln(1-6x)
Sunday, November 9, 2014 at 1:43pm

calculus
find the derivative of y with respect to x if y=(13x^2-26x+26)e^-3x. y'=
Sunday, November 9, 2014 at 1:17pm

calculus
find the derivative of the function y=(2x+1)^3(4x+1)^-4
Sunday, November 9, 2014 at 12:26pm

calculus
find f[f(x)] and g[f(x)] f(x)=2x^2-5; g(x)=2/x
Sunday, November 9, 2014 at 11:39am

calculus
find f[f(x)] and g[f(x)] f(x)=4x^2-1; g(x)=4/x
Sunday, November 9, 2014 at 11:31am

calculus
use L'Hopital's Rule to evaluate lim (4x(cos 8x-1))/(sin 8x - 8x) as x->0
Sunday, November 9, 2014 at 12:51am

Physics with Calculus
The system shown in the figure is in static equilibrium. The rod of length L and mass M is held in an unpright position. The top of the rod is tied to a fixed vertical surface by a string, and a force F is applied at the midpoint of the rod. The coefficient of static friction ...
Saturday, November 8, 2014 at 10:45pm

Calculus
what is x and cosh ln(x) when tanh(lnx^(1/2)= 12/13
Saturday, November 8, 2014 at 9:17pm

Calculus (math)
A painting in an art gallery has height h and is hung so its lower edge is a distance d above the eye of an observer. How far from the wall should the observer stand to get the best view? (In other words, where should the observer stand so as to maximize the angle \theta ...
Saturday, November 8, 2014 at 4:34pm

Calculus
A marble is dropped from the top of the empire state building. a. Determine the position and velocity functions for the marble b. What is the average velocity for the first 3 seconds of flight? c. Whatisthespeedofthemarblewhent=0? t=3? t=6? d. How long does a person looking up...
Saturday, November 8, 2014 at 4:12pm

calculus
This is a question related to L'hopital's rule. lim x -> -infinity of ((x)(e^x)) This thing is weird because I apply l'hopital's rule yet I never receive the correct answer which is supposedly = 0. It just stays in the form [-infinity * -infinity]. Anyone ...
Saturday, November 8, 2014 at 4:11pm

Calculus
Joshua jumps from a platform diving board that is 32 feet above the water. The position of the diver can be modeled by s(t) = -16t2+16t+32, where s is his position and t is the seconds that have gone by since he jumped. When does the diver hit the water, and what was his ...
Saturday, November 8, 2014 at 3:46pm

calculus
find the derivative of y y= 2 (22x+31)^(3/2)+ arctan((22x+21)^(1/2))+ln(11x+16)-22x-30​
Saturday, November 8, 2014 at 2:52am

calculus
Use l'hopital's Rule to evaluate lim x in 0 of (4x(cos 6x-1 )) / sin 3x-3x
Saturday, November 8, 2014 at 2:49am

Calculus
A large container has the shape of a frustum of a cone with top radius 5m, bottom radius 3m, height 12m. The container is being filled with water at the constant rate of 3.9 m^3/min. At what rate is the level of water rising at the instant the water 9 m deep ?
Saturday, November 8, 2014 at 2:43am

Calculus
This is a question related to L'hopital's rule. lim x -> -infinity of ((x)(e^x)) This thing is weird because I apply l'hopital's rule yet I never receive the correct answer which is supposedly = 0. It just stays in the form [-infinity * -infinity]. Anyone ...
Saturday, November 8, 2014 at 1:28am

Calculus (math)
A boat leaves a dock at 2:00 P.M. and travels due south at a speed of 15 km/h. Another boat has been heading due east at 20 km/h and reaches the same dock at 3:00 P.M. How many minutes past 2:00 P.M. were the boats closest together?
Saturday, November 8, 2014 at 1:04am

calculus
A large container has the shape of a frustum of a cone with top radius 5 m, bottom radius 3m, and height 12m. The container is being filled with water at the constant rate 4.9 m^3/min. At what rate is the level of water rising at the instant the water is 2 deep? the finial ...
Saturday, November 8, 2014 at 12:38am

calculus
The Voltage v , Current I and Resistance R are related by the equation V=IR. Suppose that V is increasing at a rate of 2 volt/sec, while I is decreasing of the rate of 1/5 (amp/sec ). Let t denote time in seconds. Find the rate at which R is changing when V=40volts and 1=2 amp .
Saturday, November 8, 2014 at 12:06am

Calculus
A large container has the shape of a frustum of a cone with top radius 5 m, bottom radius 3m, and height 12m. The container is being filled with water at the constant rate 4.9 m^3/min. At what rate is the level of water rising at the instant the water is 2 deep?
Friday, November 7, 2014 at 11:07pm

Calculus (math)
A painting in an art gallery has height h and is hung so its lower edge is a distance d above the eye of an observer (as in the figure). How far from the wall should the observer stand to get the best view? (In other words, where should the observer stand so as to maximize the...
Friday, November 7, 2014 at 11:07pm

Calculus (math)
A boat leaves a dock at 2:00 P.M. and travels due south at a speed of 15 km/h. Another boat has been heading due east at 20 km/h and reaches the same dock at 3:00 P.M. How many minutes past 2:00 P.M. were the boats closest together?
Friday, November 7, 2014 at 11:01pm

calculus
The Voltage v , Current I and Resistance R are related by the equation V=IR. Suppose that V is increasing at a rate of 2 volt/sec, while I is decreasing of the rate of 1/5 (amp/sec ). Let t denote time in seconds. Find the rate at which R is changing when V=40volts and 1=2 amp .
Friday, November 7, 2014 at 10:58pm

Calculus
When estimating distances from a table of velocity data, it is not necessary that the time intervals are equally spaced. After a space ship is launched, the following velocity data is obtained. Use these data to estimate the height above the Earth's surface at 120 seconds...
Thursday, November 6, 2014 at 10:10pm

Calculus
Can someone please walk me through the steps, I am just not sure what to do next. thanks Solve the optimization problem. Minimize F = x^2 + y^2 subject to xy^2 = 16 I took the derivative F = 2x + 2Y but I don't know where to go from here.
Thursday, November 6, 2014 at 9:57pm

Calculus-Newton Method Approximation
1/ 3(x^3) + 1/2(x^2) + 1 = 0, x1 = −3 newtons way to the 4th decimal
Thursday, November 6, 2014 at 9:38pm

Calculus
d/dx[(3x^2+2•sqrt of x)/x]=? Is it 3-(1/(x•sqrt of x))?
Thursday, November 6, 2014 at 7:55pm

Calculus
fence 3 feet tall runs parallel to a tall building at a distance of 7 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
Thursday, November 6, 2014 at 5:32pm

Calculus
Find the derivatives of the following 18. y=〖cos〗^4 x^4 ANSWER: tanx2 19. y= sinx/(1+ 〖cos〗^2 x) ANSWER: 3sinx 20. y=sinx(sinx+cosx) ANSWER: sinx Can you check my answers?
Thursday, November 6, 2014 at 5:20pm

Calculus
Please check, if there is something wrong please explain what I did wrong. Thank you! Calculate the d^2y/dx^2. y= e^-x + e^x y' = e^x - e^-x y'' = e^x + e^-x Find the x-coordinace of all critical points of the given function. determine whether each critical point ...
Thursday, November 6, 2014 at 4:48pm

Calculus
Match the rule with the title: ____ 3. d/dx [f(x)/g(x) ]=(g(x) f^' (x)-f(x) g^' (x))/[g(x)]^2 ____ 4. d/dx [f(g(x))]=f^' (g(x))∙g'(x) ____ 5. d/dx [f(x)∙g(x)]= f(x) g^' (x)+g(x) f^' (x) ____ 6.d/dx [x]=1 ____ 7. d/dx [f(x)+g(x)]= f^' (x...
Thursday, November 6, 2014 at 4:33pm

Calculus URGENT
Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = √x [0, 9] c=? I've tried quite a few different answers
Thursday, November 6, 2014 at 3:51pm

Calculus: Help Me
The manager of a large apartment complex knows from experience that 120 units will be occupied if the rent is 294 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 7 dollar increase in rent. Similarly, one ...
Wednesday, November 5, 2014 at 3:51pm

Calculus
A fence 3 feet tall runs parallel to a tall building at a distance of 7 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
Wednesday, November 5, 2014 at 3:50pm

Calculus
If 2300 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = i know it's in cubic centimeters. but i'm getting my values wrong
Wednesday, November 5, 2014 at 3:40pm

calculus
How do I use the product rule to find the derivative of the following. y=(x+1)(3square root x+7) y'= Please help
Wednesday, November 5, 2014 at 12:36am

Calculus I
Any help on how to solve this? The range of a projectile launched at an angle θ from the ground with velocity v0 is given by R(θ) = [v0^2 sin 2(θ)]/9.81 . If the projectile is launched at an angle of θ = π/6, use differentials to approximate the ...
Wednesday, November 5, 2014 at 12:33am

Very confused with this question. Amy help would be appreciated. The ideal gas law states that P V = nRT where P is the pressure in atmospheres, V is the volume in litres, n is the number of moles, R = 0.082 L·atm/K·mol is the gas constant, and T is the ...
Tuesday, November 4, 2014 at 10:58pm

Calculus
Draw a diagram to show that there are two tangent lines to the parabola y=x^2 that pass through the point (0,-4). Find the coordinates of the points where these tangent lines intersect the parabola. So far I have taken the derivative and got y'=2x.. Using point slope form ...
Tuesday, November 4, 2014 at 10:06pm

Calculus
Show that the curve y=6x^3+5x-3 has no tangent line with slope 4. The answer key says that m=y'=18x^2+5, but x^2 is greater than or equal to 0 for all x, so m is greater than or equal to 5 for all x. I don't understand that x^2 is greater than or equal to zero. Where ...
Tuesday, November 4, 2014 at 9:39pm

Calculus
2. For what values of x dies the graph of f(x)=2x^3-3x^2-6x+87 have a horizontal tangent? My answer: (1.6,77.9) (-0.62, 89.1)
Tuesday, November 4, 2014 at 9:34pm

Calculus
1. On what interval is the function f(x)=x^3-4x^2+5x concave upward? My answer: (4/3, infinity) ?????
Tuesday, November 4, 2014 at 9:21pm

calculus
the position of a particle moving along a coordinate line is s=√(1+4t) , with s in metres and t in seconds. Find the particle's velocity and acceleration at t=6 sec
Tuesday, November 4, 2014 at 8:19pm

Calculus
Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. (Round your answer to four decimal places.) 1/3x^3 + 1/2x^2 + 8 = 0, x1 = −3 I got -3.4808, but it's wrong. Help?
Tuesday, November 4, 2014 at 6:12pm

Calculus
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y= 6-x^2. What are the dimensions of such a rectangle with the greatest possible area?
Tuesday, November 4, 2014 at 12:46pm

Calculus
Find the point on the line 6 x + 4 y - 1 =0 which is closest to the point ( 0, -1 ).
Tuesday, November 4, 2014 at 12:42pm

calculus
A manufacturer of hospital supplies has a uniform annual demand for 80,000 boxes of bandages. It costs $10 to store one box of bandages for one year and$160 to set up the plant for prduction. Haw many times a year should the company produce boxes of bandages in order to ...
Tuesday, November 4, 2014 at 9:50am

f(x) = \frac{ x^3 }{ x^2 - 25 } defined on the interval [ -18, 18 ]. Enter points, such as inflection points in ascending order, i.e. smallest x values first. Enter intervals in ascending order also. The function f(x) has vertical asympototes at (? )and (?) . f(x) is concave ...
Tuesday, November 4, 2014 at 9:35am

Calculus
Given f(2)=5, f'(2)=-1 find the value of d/dx[1/sqrt(f(2x))] when x=1
Tuesday, November 4, 2014 at 2:32am

Calculus
1. On what interval is the function f(x)=x^3-4x^2+5x concave upward? 2. For what values of x dies the graph of f(x)=2x^3-3x^2-6x+87 have a horizontal tangent? Is there no solution because the equation can't be factored? 3. At what point on the curve y=1+2e^x - 3x is the ...
Tuesday, November 4, 2014 at 1:00am

Calculus
Let f(x) = 2x^{3}+9. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals: 2. f is decreasing on the intervals: 3. The relative maxima of f occur at x = 4. The ...
Tuesday, November 4, 2014 at 12:10am

Calculus
Two lovers have a spat and swear they will never see each other again. The girl walks due south at 6 mph while the boy walks at 10 mph on a heading of North 60 degrees West. How fast is the distance between them changing 30 minutes later?
Monday, November 3, 2014 at 11:26pm

Calculus
Your firm offers to deliver 250 tables to a dealer, at \$160 per table, and to reduce the price per table on the entire order by 50 cents for each additional table over 250. Find the dollar total involved in the largest possible transaction between the manufacturer and the ...
Monday, November 3, 2014 at 8:55pm

calculus
A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight toward the building at a speed of 1.2m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building?
Monday, November 3, 2014 at 8:07pm

Calculus
Find all relative extrema. Use the Second Derivative Test where applicable. f(x)= cosx - x (0,2ð)
Monday, November 3, 2014 at 12:22pm

Calculus
find the intervals on which f(x) is increasing and decreasing along with the local extrema. f(x)=x^4 + 18x^2 I took the derivative and got: f'(x)= 4x^3 + 36x When I set this to zero, I get the imaginary number 3i. I can't get test values for an imaginary numbers, so I ...
Monday, November 3, 2014 at 12:17pm

Pre calculus
Find the rectangular equation for the given polar coordinates: R=(7/(5+4sin theta))
Monday, November 3, 2014 at 2:49am

Calculus
The function f(x) = 5x sqrt x+2 satisfies the hypotheses of the Mean Value Theorem on the interval [0,2]. Find all values of c that satisfy the conclusion of the theorem. How would you use the MVT? I tried taking the derivative, in which resulted in 5sqrtx+2 + (5x/2sqrtx+2) ...
Monday, November 3, 2014 at 1:35am

Calculus
Determine the equation of the tangent line at the indicated -coordinate. f(x) = e^(-0.4x) * ln(18x) for x= 3 The equation of the tangent line in slope-intercept form is
Sunday, November 2, 2014 at 7:52pm

Calculus I
Semelparous organisms breed only once during their lifetime. Examples of this type of reproduction strategy can be found with Pacific salmon and bamboo. The per capita rate of increase, r, can be thought of as a measure of reproductive fitness. The greater r, the more ...
Sunday, November 2, 2014 at 5:22pm

calculus
integration of x^2/(x+3)sq.root of 3x+4 w.r.t. x
Sunday, November 2, 2014 at 6:50am

Calculus
Use the product rule to find the derivative of the following. k(t)=(t^2-4)^2 k'(t)=
Sunday, November 2, 2014 at 1:01am

Calculus
A rocket is fired vertically into the air at the rate of 6 miles/min. An observer on the ground is located 4 miles from the launching pad. When the rocket is 3 miles high, how fast is the angle of elevation between the rocket and the observer changing? Specify units.
Sunday, November 2, 2014 at 12:44am

Calculus
Wheat is poured through a chute at the rate of 10 ft^3/min and falls in a cone-shaped pile whose bottom radius is always half its height. How fast is the height of the cone increasing when the pile is 8 feet high? Volume of a cone=1/3(pi)r^2h
Sunday, November 2, 2014 at 12:42am

Calculus
Two lovers have a spat and swear they will never see each other again. The girl walks due south at 6 mph while the boy walks at 10 mph on a heading of North 60 degrees West. How fast is the distance between them changing 30 minutes later?
Sunday, November 2, 2014 at 12:40am

Calculus
An ant is walking along the curve x^2+xy+y^2=19. If the ant is moving to the right at the rate of 3 centimeters/second, how fast is the ant moving up or down when the ant reaches the point (2,3)? Specify direction.
Sunday, November 2, 2014 at 12:38am

Calculus
A stone is thrown into a calm pond and circular ripples are formed at impact. If the radius expands at the rate of 0.5 feet/second, how fast is the circumference and the area of the ripples growing when the radius is 3 feet?
Sunday, November 2, 2014 at 12:36am

Calculus
A right circular cylinder is changing shape. The radius is decreasing at the rate of 2 inches/second while its height is increasing at the rate of 5 inches/second. When the radius is 4 inches and the height is 6 inches, how fast is the a) volume changing (V=(pi)r^2h) b) ...
Sunday, November 2, 2014 at 12:34am

Calculus
A rectangle is 2 feet by 15 inches. Its length is decreasing by 3 inches/minute and its width is increasing at 4 inches/minute. How fast is the a) perimeter changing b) area changing
Sunday, November 2, 2014 at 12:33am

Calculus
In 1907 Kennelly developed a simple formula for predicting an upper limit on the fastest time that humans could ever run distances from 100 yards to 10 miles. His formula given by t=.0588s^1.125 where s is the distance in meters and t is the time to run the distance is seconds...
Saturday, November 1, 2014 at 10:58pm

Calculus
Assume that a demand equation is given by q=9000-100p. Find the marginal revenue for the given production levels. a. 500 Units the marginal revenue at 500 units is
Saturday, November 1, 2014 at 10:49pm

Math
Jane grows several varieties of plants in a rectangular-shaped garden. She uses fencing to divide the garden into 16 squares that are each 1 m by 1 m. She also puts fencing around the perimeter of the garden. What should the dimensions of the garden be so that Jane uses the ...
Saturday, November 1, 2014 at 7:06pm

Calculus
The blood alcohol concentration after a drink has been consumed can be modelled by c(t)=(0.02t)e^(−0.05t) where t is the time in minutes elapsed after the consumption of the drink and c(t) is the concentration in mg/mL at t. At what time in the first hour after consuming...
Saturday, November 1, 2014 at 12:31pm

calculus
Suppose the volume, V , of a spherical tumour with a radius of r = 2 cm uniformly grows at a rate of dV/dt= 0.3 cm^3/day where t is the time in days. At what rate is the surface area of the tumour increasing? The volume of a sphere is given by V =4 3πr^3and the surface ...
Saturday, November 1, 2014 at 12:04pm

calculus
The function f(x) = (7 x+9)e^{-2 x} has one critical number. Find it.
Friday, October 31, 2014 at 8:29pm

calculus
Consider the function f(x) = x^4 - 18 x^2 + 4, \quad -2 \leq x \leq 7. This function has an absolute minimum value equal to and an absolute maximum value equal to
Friday, October 31, 2014 at 8:28pm

calculus
Let g(x)=(4x)/(x^2+1) on the interval [-4,0]. Find the absolute maximum and absolute minimum of g(x) on this interval. The absolute max occurs at x=. The absolute min occurs at x=
Friday, October 31, 2014 at 8:28pm

Calculus
Let f(t)=t\sqrt{4-t} on the interval [-1,3]. Find the absolute maximum and absolute minimum of f(t) on this interval. The absolute max occurs at t=. The absolute min occurs at t=
Friday, October 31, 2014 at 8:27pm

calculus
Let g(s)=1/(s-2) on the interval [0,1]. Find the absolute maximum and absolute minimum of g(s) on this interval. The absolute max occurs at s=. The absolute min occurs at s=
Friday, October 31, 2014 at 8:27pm

calculus
Let f(x)=-x^2+3x on the interval [1,3]. Find the absolute maximum and absolute minimum of f(x) on this interval. The absolute max occurs at x=. The absolute min occurs at x=
Friday, October 31, 2014 at 8:26pm

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