Thursday
October 8, 2015

Homework Help: Math: Calculus

calculus
1. A particle moves along the x-axis, it's position at timer given by x(t)=t/(1+t^2), t greater than or equal to 0,where t is measured in seconds and x in meters. a) find the velocity at time t. I am a little confused.. Do I find the derivative by using the quotient rule? ...
Sunday, November 16, 2014 by Anonymous

Calculus Help
If f(x) = sin(7 − 5x), find f′(π), which is the derivative at π: −0.754 −0.657 0 0.657 3.770 I chose 0.657 ... I did not really get this exact answer, its just that while I was trying to figure this out my answer was actually 0.6978 but I just...
Sunday, November 16, 2014 by Nick

Calculus
If I derive the following, d/dt((a)S(t^2) of (s)^(1/2)ds with S being integral notation (a) being at the bottom of the notation and being a constant (t^2) being at the top of the notation ..I first apply the fundamental theorem of calculus to get.. (t^2)^(1/2) (2t) simplified ...
Sunday, November 16, 2014 by Joshua

Calculus
These two q's for my homework I am very confused on how to do: First Question: Using Newton’s method, approximate the value of √5 up to 2 decimal points starting with x1 = 3. 2nd Question: Thomas Malthus was an economist that predicted that the population grows ...
Sunday, November 16, 2014 by Anonymous

Math (calculus)
Prof gave us this question to practice but I do not know how to solve it. If you know please provide step by step with the answer so I can understand it. Thank you very much :) Suppose a rocket is launched from the ground with 10 seconds worth of fuel. The rocket has an upward...
Sunday, November 16, 2014 by Anonymous

These two q's for my homework I am very confused on how to do: First Question: Using Newton’s method, approximate the value of √5 up to 2 decimal points starting with x1 = 3. 2nd Question: Thomas Malthus was an economist that predicted that the population grows ...
Sunday, November 16, 2014 by Anonymous

Calculus
This is a definite integral question. Evaluate the following integral: (0)S(a)((x)((a^2 - x^2)^(1/2)))dx with a being a constant and the (0) being at the bottom of the integral notation and (a) at the top. S is the integral notation. I firstly checked whether the function was ...
Saturday, November 15, 2014 by Joshua

Calculus
A piece of wire x cm long is to be cut into two pieces, each to bent to be a square. the length of a side of one square is to be 9 times the length of a side of the other . Express the sum of the areas of two squares in term of x .
Saturday, November 15, 2014 by Angy

calculus
it costs 8 dollars to manufacture and distribute a backpack.If the backpack sell at x dollar each, the number sold , n, is given by n= 3/(x-8)+5(100-x) . Find the selling price that will maximize the profit.
Saturday, November 15, 2014 by John

calculus
object 380 ft above surface of globe. Horizon is 65.3 degrees from object. What is circumference of globe?
Saturday, November 15, 2014 by Bruce

Calculus
The maker of an automobile advertises that it takes 11 seconds to accelerate from 15 kilometers per hour to 90 kilometers per hour. Assuming constant acceleration, compute the following. What is the distance the car travels during the 11 seconds (Round your answer to two ...
Friday, November 14, 2014 by Jessica

Pre-Calculus
Use a graphing calculator to write a polynomial function to model this set of data {(5,2) (7,5) (8,6) (10,4) (11, -1) (12 -3) (15,5) (16,9)} A) f(x) = 2x3 + 2.70x2 + 0.09x - 65.21 B) f(x) = 2x3 - 0.09x - 65.21 C) f(x) = 0.09x3 - 2.70x2 + 24.63x - 65.21 D) f(x) = x4 - 5.7x3 + 2...
Friday, November 14, 2014 by TeeKay

Calculus
Find the equation of the line tangent to the function f(x)= square root of (x^3 + 4x) through the point (2,4)
Friday, November 14, 2014 by Tom

I think I have the right answer, but I am not 100% sure how to do the values at (1,-1) and the one below at (0,-1, 1). Please explain how I need to approach how to do these. Thank You! Calculate the partial derivative @f/@x, @f/@y and @f/@x | (1,-1), and @f/@y | (1,-1) f(x,y...
Thursday, November 13, 2014 by Jennifer

Calculus
A particle is moving with the given data. Find the position of the particle. a(t) = t^2 − 8t + 5, s(0) = 0, s(1) = 20
Thursday, November 13, 2014 by Breauna

Calculus
Differentiate. f(x)=cos x/x Is it (-x sin x - cos x)/x^2
Wednesday, November 12, 2014 by Anonymous

Use L'Hospital's Rule to solve: lim u --> 1 of (u-1)^3/ ((1/u) - u^2 + (3/u) - 3) Ok, so what I thought was that it is type 0/0 so taking the derivatives of the top and bottom 3(u-1)^2 /(-u^-2 -2u - 3u^-3) and subbing in u = 1 = 0/-6 = 0
Wednesday, November 12, 2014 by Mary

calculus
A ball is thrown 12 meters in the air (so that the initial up-and-down distance is 24 meters). The ball rebounds 95% of the distance it falls. What is the total vertical distance traveled by the ball before it stops bouncing?
Wednesday, November 12, 2014 by Anonymous

Calculus
Find the equation of the tangent line to f(x)=x sec x at ((pi/4),(pi•sqrt 2)/4). Please check my derivative .. Is it (sin^2(x)+ 1)/cos^3 (x)?
Wednesday, November 12, 2014 by Anonymous

Pre-Calculus
Identify the slope of the asymptotes of 5(y -1)2 - 20(x - 1)2 =64. A) 2 and -2 B) 64 and -64 C) 5 and -5 D) 0.25 and -0.25
Wednesday, November 12, 2014 by TeeKay

Calculus
Find the general indefinite integral ∫ v(v3+5)2dv
Wednesday, November 12, 2014 by Hailey

calculus
1) A particle is moving with acceleration a(t)=36t+10. its position at time t=0 is s(0)=16 and its velocity at time t=0 is v(0)=9. What is its position at time t=11?
Wednesday, November 12, 2014 by Hailey

Calculus
9) The rectangles in the graph illustrate a left endpoint Riemann sum for f(x)=(x^2/8) on the interval [4,8]. What is the value of this left endpoint Riemann sum? The rectangles in the graph illustrate a right endpoint Riemann sum for f(x)=(x^2/8) on the interval [4,8]. what ...
Wednesday, November 12, 2014 by Hailey

calculus
7) Consider the function f(x)=(10/x^2)−(2/x^6). Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(x)= ?
Wednesday, November 12, 2014 by Hailey

Pre-Calculus
I really need help on this question Simplify the expression by using a Double-Angle formula or a Half-Angle Formula cos^2 0/2-sin^2 0/2
Wednesday, November 12, 2014 by Andrea

Pre-Calculus
Use an Addition or Subtraction Formula to find the exact value of the expression: tan7π/12
Wednesday, November 12, 2014 by Christian

Pre-Calculus
Prove the identity: cos(x-π/2)=sin x
Wednesday, November 12, 2014 by Adrian

Pre-Calculus
Simplify the trigonometric expression: cos^3x+sin^2x cos x
Wednesday, November 12, 2014 by Drue

Calculus
Find f"(x). f(x) = x^3 - (5/x)
Tuesday, November 11, 2014 by Joshua

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 by Bill

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 by George

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 by Gina

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 by Duane

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

Calculus
What does this equation mean? X = Cos (T) * Phi ^ ((2 / Pi) * T) Y = Sin (T) * P
Monday, November 10, 2014 by Joe

Calculus
can you show me how to solve an equation using the chain rule
Monday, November 10, 2014 by Duane

Calculus
can you please explain the chain rule in simple terms. thank you
Monday, November 10, 2014 by Duane

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 by Mandla

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 by Matt

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 by Sarah

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 by fredric

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

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 by tom

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 by Jessica

calculus
find the derivative of the function y=(4x+3)^5(5x+2)^-4
Sunday, November 9, 2014 by Duane

calculus
find the derivative of the function y=log absolut power 2-x
Sunday, November 9, 2014 by Duane

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 by Minnie

calculus
find the derivative of the function s=t^9lnabsolut power t
Sunday, November 9, 2014 by Duane

calculus
find the derivative y=ln(1-6x)
Sunday, November 9, 2014 by Duane

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

calculus
find the derivative of the function y=(2x+1)^3(4x+1)^-4
Sunday, November 9, 2014 by Duane

calculus
find f[f(x)] and g[f(x)] f(x)=2x^2-5; g(x)=2/x
Sunday, November 9, 2014 by Duane

calculus
find f[f(x)] and g[f(x)] f(x)=4x^2-1; g(x)=4/x
Sunday, November 9, 2014 by Duane

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

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 by Rico

Calculus
what is x and cosh ln(x) when tanh(lnx^(1/2)= 12/13
Saturday, November 8, 2014 by Jenni

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 by Thanks to whoever solve this!

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 by Connor

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 by Joshua

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 by Connor

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 by John

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

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 by lilia

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 by Joshua

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 by Olivia

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 by Jennifer

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 by maria

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 by Jennifer

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 by mariel

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 by mariel

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 by Maria

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 by John James

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 by Jennifer

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 by Help

Calculus
d/dx[(3x^2+2•sqrt of x)/x]=? Is it 3-(1/(x•sqrt of x))?
Thursday, November 6, 2014 by Anonymous

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 by Anonymous

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 by StevE

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 by Jade

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 by MIMI

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 by G-Dogg

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 by Alessandra

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 by Alessandra

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 by Alessandra

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 by Duane

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 by Anonymous

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 by Anonymous

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 by Anonymous

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 by Anonymous

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 by Anonymous

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 by Anonymous

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 by zizi

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 by Benny

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 by Alessandra

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 by Alessandra

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 by Anonymous

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 by Anonymous

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 by Anonymous

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 by Anonymous

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 by Daniel

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 by Anonymous

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