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January 17, 2017

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Calculus!! HELP!!
1) The sides of the triangle shown increase in such a way that (dz/dt=1) and (dx/dt=(3dy/dx)) At the instant when x = 12 and y = 5, what is the value of dx/dt? 2) Let f(x) = x^3 − 4. Which of these is the equation for the normal line to this curve at the ...
Saturday, December 17, 2016 by Prince@18

Calculus
The cost of producing commodity is C(X)=3X^2+4X+8 dollars.If the price is P(X)=(50-X) dollars per unit,determine the level of production that maximizes the profit. ---------- What is the level of production.
Saturday, December 17, 2016 by Omar E

Calculus
A car traveling 96ft/s begins a negative acceleration at a constant rate of 12ft/s^2. After how many seconds does the car come to a stop? How far will the car have traveled before stopping? Anti-derivatives are involved somewhere in the 2nd part I believe.
Friday, December 16, 2016 by Nate

calculus!
use the definition of derivative to find d/dx(1/(3-x))
Friday, December 16, 2016 by anon

calculus
use implicit differentiation to show: d/dx(tan^-1x)=1/(x^2+1)
Friday, December 16, 2016 by Lauren

calculus
If you are blowing up a balloon at a rate of 3 cubic ft per min, what is the rate of change of the radius after 30 seconds
Friday, December 16, 2016 by Marty

calculus
A rectangle has an area of A. Find the dimensions that minimize the perimeter. Show that it really is a minimum.
Thursday, December 15, 2016 by Obie

Calculus
Determine the open intervals on which the graph of f(x) = -7x^2 + 8x + 1 is concave downward or concave upward. The second derivative is just -14, so I don't know what to do with that.
Thursday, December 15, 2016 by Anonymous

Calculus
Given that f(x)=x^3+ax^2+bx has critical points at x=1 and x=5, find a and b and classify the critical points as maxima, minima, or neither.
Thursday, December 15, 2016 by Krissy

Pre-calculus
The graph of [r = -5/(2 cos \theta + sin \theta)] is a line. Find the y-intercept of this line.
Wednesday, December 14, 2016 by Pallav

Pre-calculus
The graph of [r = -5/(2 cos \theta + sin \theta)] is a line. Find the y-intercept of this line.
Wednesday, December 14, 2016 by Pallav

Calculus
The size of a parcel despatched through the post used to be limited by the fact that the sum of its length and girth (perimeter of the cross section) must not exceed 6 feet. What was the volume of the largest parcel of square cross- section which was acceptable for posting? (...
Wednesday, December 14, 2016 by Anonymous

pre calculus
can you check my work? find two sets of parametric equations for the given rectangular equation x+y^2=4 x=-y^2+4 y=-t^2 x=-t^2+4 x=-t^3 y=-t^3+4 Find a polar equation of an ellipse with its focus at the pole an eccentricity of e=1/4 and directrix at y=4. answer: âˆ...
Tuesday, December 13, 2016 by Anonymous

Calculus AB
The position function of a particle in rectilinear motion is given by s(t) = 2t^3 - 21t^2 + 60t + 3 for t ≥ 0. Find the position and acceleration of the particle at the instant when the particle reverses direction. Include units in your answer. So I've ...
Tuesday, December 13, 2016 by Anon

Pre-Calculus
The cost of sending a package overnight is $14.40 for the first pound and $3.90 for each additional pound or portion of a pound. A plastic mailing bag can hold up to 3 pounds. The cost f(x) of sending a package in a plastic mailing bag is given by the following function, where...
Monday, December 12, 2016 by Iris

Calculus
the sum of three positive numbers is 40. The first plus three times the second plus four times the third add up to 80. Select the numbers so that the product of all three is as large as possible.
Monday, December 12, 2016 by Nick

Calculus
Which would be the best option for finding the limit? lim (1-2x-3x^2)/1+x x->-1 A.Direct substitution B.Dividing out technique C.Rationalization technique D.Indeterminate form
Monday, December 12, 2016 by Sade

Pre-Calculus
Which of the following shows the correct notation for “The limit of x^2 - 1 as x approaches 3. A. lim x^2-1 x->3 B. lim3 x->x^2-1 C. lim(x^2-3) x->x^2-1 D. lim(x^2-1) x->3 Thank you
Monday, December 12, 2016 by Iris

Pre-Calculus
What is the correct notation for “The limit of x^2 - 1 as x approaches 3? Thank you
Monday, December 12, 2016 by Iris

pre-calculus
A rectangular box has a perimeter of 50 inches. Find the length and width of the box that would give the maximum area. Find the maximum possible area of the box.
Monday, December 12, 2016 by Sam

pre-calculus
A rectangular box has a perimeter of 36 inches. Find the length and width of the box that would give the maximum area. e. l = 9, w = 9 f. l = 81, w = 9 g. l = 27, w = 9 h. l = 18, w = 18
Monday, December 12, 2016 by Sam

pre-calculus
A rectangular box has a perimeter of 36 inches. Which of the following equations represents the area of the rectangular box in terms of its width, w? a. A = 36w - w2 b. A = 18w - w2 c. A = 36 - w2 d. A = 18 - w2
Monday, December 12, 2016 by Sam

Calculus
(a) Compute the area of the bounded region enclosed by the curve y = e^x, the line y = 12, and the y-axis. (b) How does this area compare with the value of the integral ∫ from 1 to 12 of (ln x dx)? Explain your answer. (A picture may be helpful.)
Monday, December 12, 2016 by Anonymous

Pre-Calculus
How does the expansion of (x + y)n and (x - y)n differ? If you can offer an example that would be very helpful. Thank you
Monday, December 12, 2016 by Iris

Pre-Calculus
Find first differences for the sequence in order from a_1 to a_5. Determine whether or not the series is quadratic or not.(I used _ as a sign for a subscript) -1, -3, -1, 5, 15 A. 2, 2, 6, 10; not quadratic B. 2, 2, 6, 10; quadratic C. -2, 2, 6, 10; not quadratic D. -2, 2, 6, ...
Monday, December 12, 2016 by Sade

Calculus
Find the dimensions of the right circular cone of maximum volume having a slant height of 5 ft. See the figure.
Monday, December 12, 2016 by Brooke

Calculus
Find a quadratic model for the sequence. -4, -4, -3, -1, 2 A.y = 0.5x^2 - 0.5x - 4 B.y = 0.5x^2 - 1.5x - 3 C.y = 4.5x^2 - 21.5x+21 D.y = -4.5x^2 + 21.4x - 21
Monday, December 12, 2016 by Sade

Calculus
Find the second difference for the sequence. 7, 6, 7, 10, 15, 22, …. A.1 B.2 C.3 D.5
Monday, December 12, 2016 by Sade

Pre-Calculus
Find P_(k+1) if P_(k)=2^(k-1)/k! (I used _ as a sign for a subscript) A. 2^(k+1)/(k+1)! B. 2^k/(k+1)! C. 2^(k+1)/k!+1 D. 2k/k!+1 Thank you
Monday, December 12, 2016 by Iris

Calculus
If the functions f and g are defined for all real numbers and f is an antiderivative of g, which of the following statements is NOT necessarily true. (A)If g(x)>0 for all x, then f is increasing (B)If g(a)=0, then f(x) has a horizontal tangent at x=a (C)If f(x)=0 for all x...
Monday, December 12, 2016 by Mike

pre calculus
can you check my work Find two different sets of parametric equations for the given rectangular equation: y=x^2+10 answer: x=t y=t^2+10 x=t^3 y=t^6+10
Monday, December 12, 2016 by Anonymous

Calculus
(a) Compute the area of the bounded region enclosed by the curve y = e^x, the line y = 12, and the y-axis. (b) How does this area compare with the value of the integral ∫1-12(ln x dx)? Explain your answer. (A picture may be helpful.)
Monday, December 12, 2016 by Anonymous

pre calculus
How would I graph r = cos 5Θ + n cos Θ, 0 ≤ Θ ≤ π For the integers n = -5 to n = 5. ?
Monday, December 12, 2016 by Anonymous

Pre-Calculus
Which of the following shows the correct first step to prove the following by mathematical induction? 3 + 11 + 19 + 27 + … + (8n - 5) = n(4n - 1) A. 3 + 11 + 19 + 27 + … + (8 • 1 - 5) = 1(4 • 1 - 1) B...
Sunday, December 11, 2016 by Iris

Pre-Calculus
Find P + 1 if Pk = 7 + 13 + 19 + ...+[6(k - 1)+1] + (6k + 1) (the k+1 and k in front of the P are subscripts) A. 7 + 13 + 19 + …+[6(k - 1) + 1] + (6k + 1) + [6(k + 1) + 1] B. 8 + 14 + 20 + …+[7(k - 1) + 1] + (7k + 1) C. 7 + 13 + 19 + &...
Sunday, December 11, 2016 by Iris

AP Calculus AB
The fence around Wayne Manor (a rectangular plot of land) is going to be replaced. No fence will be required for the side lying along Gotham river. If the new wrought iron fence costs $12 per meter for the side parallel to the river and $4 per meter for the other two sides, ...
Sunday, December 11, 2016 by Stephen

Calculus III
Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y gx = 0.5x gy = 2y And set them up for the ...
Sunday, December 11, 2016 by Justin

Calculus
If an isosceles triangle has a fixed perimeter P, find the dimensions that maximize that area. Show how you know that it is the maximum.
Sunday, December 11, 2016 by Katie

calculus
The marginal cost is given by C'(x)=x^(1/3)+9. If the fixed costs are ​$175†​9;, find the cost of producing 8 units. thank you!!
Saturday, December 10, 2016 by huy

Math (calculus) (mean values)
A company introduces a new product for which the number of units sold Ss given by the equation below, where t is the time in months. s(t) = 155(7-(9/(2+t))) a) Find he average rate of change of s(t) during the first year. I got the answer to be 1395/28 b) During what month of ...
Saturday, December 10, 2016 by Ray

Calculus III
Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y gx = 0.5x gy = 2y And set them up for the ...
Saturday, December 10, 2016 by Justin

Calculus
A trough is 15 ft long and 4 ft across the top. Its ends are isosceles triangles with height 3 ft. Water runs into the trough at the rate of 2.5 ft3/min. How fast is the water level rising when it is 0.89 ft deep? Give your answer correct to 3 decimal places.
Saturday, December 10, 2016 by KT

Calculus III
Hi, this question is about Langrange multipliers. Given f(x,y) = y^2 - x^2, subject to the constraint g(x,y) = 0.25x^2 + y^2 = 1, find the max and mins. So I found the partial derivatives for both f(x,y) and g(x,y): fx = -2x fy = 2y gx = 0.5x gy = 2y And set them up for the ...
Friday, December 9, 2016 by Justin

Calculus
a car is traveling along a highway shaped like a parabola with its vertex at the origin. the car starts at 100 miles north and 100 miles west. there is a statue at 100 miles east and 50 miles north. at what point will the cars headlights hit the statue?
Friday, December 9, 2016 by Hayden

Calculus
A car moves along a straight road in such a way that its velocity (in feet per second) at any time t (in seconds) is given by v(t) = 3t * sqrt(49-t^2)
Friday, December 9, 2016 by Stephanie

pre calculus
what is the distance between the pole and the directrix of r = 4/-2-6sintheta
Friday, December 9, 2016 by sam

Math - Calculus
Find the area of the surface of revolution generated by revolving the curve y = 3 sqrt (x), 0 <= x <= 4, about the x-axis. Okay, so I've set up the integral like this: 2pi ∫[0,4] (3 sqrt (x))(sqrt(1+(1/4x)))dx Which is coming out to 108.5, but that...
Thursday, December 8, 2016 by Anon

calculus
A paper clip is dropped from the top of a 144‐ft tower, with an initial velocity of 16 ft/sec. Its position function is s(t) = −16t^2 + 144. What is its velocity in ft/sec when it hits the ground? –96 –64...
Thursday, December 8, 2016 by Anonymous

calculus
The position function for a particular object is s = â€â&​#128;œ23t^2 + 65. Which of the following statements is true? The initial position is 23 The initial velocity is 0 The velocity at time t = 1 is 42 None of these
Thursday, December 8, 2016 by Anonymous

calculus
Find the local linear approximation of f(x) = e^(3x) at x = 1. y = e^3 y = e^(3(x − 1)) y = 3e^(3)(x − 1) y = 3e^(3)x − 2e^3
Thursday, December 8, 2016 by Anonymous

calculus
Rolle's theorem cannot be applied to the function f(x) = x^1/3 on the interval [–1, 1] because... f is not differentiable on the interval [–1, 1] f(–1) ≠ f(1) f is not differentiable on the interval [&...
Thursday, December 8, 2016 by Anonymous

calculus
For the function f(x) = 20x^3 − 3x^5, determine the interval(s) for which f(x) increases. (–2, 2) (–∞,​ –2) U (2, ∞) (–2, 0) U (2, âˆ...
Thursday, December 8, 2016 by Anonymous

calculus
Find limit as x goes to infinity of (6x-(1/4x))/(3x-(1/x))? one half –4 negative one fourth 2
Thursday, December 8, 2016 by Anonymous

calculus
If the local linear approximation of f(x) = 2cos x + e2x at x = 2 is used to find the approximation for f(2.1), then the % error of this approximation is... greater than 15% between 11% and 15% between 5% and 10% between 0% and 4%
Thursday, December 8, 2016 by Anonymous

Calculus (vectors)
A plane must travel S15E at 720km/h. If the wind Is from S35W at 130km/h, what heading and airspeed should the pilot set to reach the destination. I got 648km/h E8.89S
Thursday, December 8, 2016 by Matt

calculus
Rolle's theorem cannot be applied to the function f(x) = x1/3 on the interval [–1, 1] because Answer Choices: f is not differentiable on the interval [–1, 1] f(–1) ≠ f(1) f is not differentiable on the...
Thursday, December 8, 2016 by Anonymous

calculus
A particle moves along the x-axis so that at time t its position is given by s(t) = (t + 3)(t −1)^3, t > 0. For what values of t is the velocity of the particle decreasing? 0 < t < 1 t > 1 t > 0 The velocity is never decreasing
Thursday, December 8, 2016 by Anonymous

pre calculus
In the rectangular coordinate system, each point (x, y) has a unique representation. Explain why this is not true for a point (r, Θ) in the polar coordinate system.
Wednesday, December 7, 2016 by john

pre calculus
Explain how you sketch a plane curve given by parametric equations? What is meant by the orientation of the curve?
Wednesday, December 7, 2016 by Anonymous

Calculus
Find the open intervals on which f(x) = -6x^2 + 96x + 7 is increasing or decreasing. a. increasing on (-inf, 16); decreasing on (16, inf). b. increasing on (-inf, 14); decreasing on (14, inf). c. increasing on (-inf, 84); decreasing on (84, inf). d. increasing on (-inf, 56); ...
Tuesday, December 6, 2016 by Anonymous

calculus
a farmer wants to create pens along side his barn for his chicken ducks and geese. he has 600 ft of fencing and wants to create 2 equal spaces for each species. what is the largest area he could have? Also one side is along a house so no fencing is needed there. the image ...
Tuesday, December 6, 2016 by shy

Pre-Calculus
Can someone please explain how eccentricity can be used to classify conics.
Tuesday, December 6, 2016 by Iris

Calculus
Use a graphing utility to graph the polar equation shown below. r = cos 5Θ + n cos Θ, 0 ≤ Θ ≤ π For the integers n = -5 to n = 5. As you graph these equations, you should see the graph ...
Tuesday, December 6, 2016 by Iris

Applied calculus
By using appropriate software/programming, sketch the following vector functions: 1) 2cos(2t)i + 2sin(3t)j for t within o to 2pai 2) 16sin^3ti + (13cost - 5cos2t - 2cos3t - cos4t)j for t within 0 to 2pai
Tuesday, December 6, 2016 by Sn

Calculus
What would the smallest positive integer be for n if: y=sinx and y^(n) means the nth derivative of y with respect to x.
Tuesday, December 6, 2016 by Emily

Calculus
If f(x)=(x^2+1)^(2-3x), then f'(1) = -3/2ln(2)-1/2 Is this correct?
Tuesday, December 6, 2016 by Ian

Calculus
If f'(x)=-f(x) and f(1)=1, then f(x) = e^1-x Is this correct?
Tuesday, December 6, 2016 by Ian

Calculus
If u,v, and w are nonzero differentiable functions, then the derivative of uv/w is what?
Tuesday, December 6, 2016 by Ian

Calculus
A rectangular tank with a square​ base, an open​ top, and a volume of 4,000 ft cubed is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. I'm not understanding how to get started and ...
Monday, December 5, 2016 by Marissa

Calculus
Sinx=e^y , 0 <x <pi, what is dy/dx in terms of x?
Monday, December 5, 2016 by Erika

Calculus
For what value of k will x+k/x have a relative max at x=-2
Monday, December 5, 2016 by Erika

Pre Calculus
A flare is launched straight up with a velocity of 200 feet per second. The function h(t)= 200t−16t^2 models the height h(t)of the flare are at time t. How many seconds will it take for the flare to hit the ground?
Monday, December 5, 2016 by Michelle

Calculus
f(x)=6x^3-4x then d/dx(f(lnx)) =??
Monday, December 5, 2016 by Ian

Calculus
If the line 3x-4y=0 is tangent in the first quadrant to the curve y=x^3+k, then k is? I got 1/4 is this correct?
Monday, December 5, 2016 by Ian

Calculus applications
The bending moment (M) along a beam is M = WLx/2 -Wx2/2 kNm where x is the distance of a beam length L from the left hand end. W is the weight per unit length. (a) Shear force is calculated as the differential of bending moment. Find an expression for shear force and determine...
Monday, December 5, 2016 by Scott

Calculus 1
In the problem, x and y are differentiable functions of t. Find dx/dt when x = 3, y = 4, and dy/dt= 2. x^2 + y2^2= 25
Monday, December 5, 2016 by Ravi Shankar

Calculus 1
In the problem, x and y are differentiable functions of t. Find dx/dt when x = 3, y = 4, and dy/dt= 2. x^2 + y2^2= 25
Monday, December 5, 2016 by Dhrupal Patel

pre calculus
Find the equation of a Parabola with Vertex: (2,-1) and directrix: x= -2
Monday, December 5, 2016 by Anonymous

Calculus 1
In the problem, x and y are differentiable functions of t. Find dx/dt when x = 3, y = 4, and dy/dt= 2. x^2 + y2^2= 25
Monday, December 5, 2016 by Dhrupal Patel

Calculus 1
In the problem, x and y are differentiable functions of t. Find dx/dt when x = 9, y = 2, and dy/dt= 2. x^3y^2 = 2916
Monday, December 5, 2016 by Dhrupal Patel

Calculus applications
6. The bending moment (M) along a beam is M = WLx/2 -Wx2/2 kNm where x is the distance of a beam length L from the left hand end. W is the weight per unit length. (a) Shear force is calculated as the differential of bending moment. Find an expression for shear force and ...
Monday, December 5, 2016 by Thomas

math
Eldon received 72 on his first calculus test. The marks were normally distributed with a mean of 60 and a standard deviation of 8. He received 80 on the next test, which was normally distributed with a mean of 75 and a standard deviation of 6. Which was the better mark, ...
Sunday, December 4, 2016 by josh

pre calculus
use matrices to solve the system of equations , if possible 2x+3y+z=10 2x-3y-3z=22 4x-2y+3z=-2
Sunday, December 4, 2016 by Anonymous

Calculus
A car travelling at 50 kilometers per hour crosses a bridge over a river 10 minutes before a boat travelling at 40 kilometers per hour passes under the bridge. The river and the bridge are straight and at right angles to each other. At what rate are the car and the boat ...
Sunday, December 4, 2016 by Harra

Calculus
A man on a wharf is pulling in a boat by means of a rope attached to the bow of the boat 1 meter above water level and passing through a simple pulley located on the dock 8 meters above water level. If he pulls in the rope at the rate of 2 meters per second, how fast is the ...
Sunday, December 4, 2016 by Harra

Calculus
A stone is dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 2 meters per second. How rapidly is the area enclosed by the ripple increasing at the end of 20 seconds?
Sunday, December 4, 2016 by Harra

Calculus
A man 1.69 meters tall is walking towards a building at the rate of 1.5 meters per second. If there is a light on the ground 15 meter from the building, how fast is the man's shadow on the building growing shorter when he is 5 meters from the building.
Sunday, December 4, 2016 by Harra

Calculus
A ladder 15 meters long leans against a vertical wall. If the foot of the ladder is being pulled away from the wall at the rate of 2 meters per minute. How fast is the top of the ladder sliding down the wall at the instant when the foot of the ladder is 12 meters from the wall.
Sunday, December 4, 2016 by Harra

pre calculus
use matrices to solve the system of equations , if possible. 2x+y+2z=4 2x+2y=5 2x-y+6z=2
Sunday, December 4, 2016 by Anonymous

Pre-calculus
Convert cartesian equation to polar form 1. x^2+y^2=4x 2. (x^2+y^2)^2=6(x^2-y^2)
Sunday, December 4, 2016 by Liv

calculus
if f(x) = (x-2)^(1/3) use Tylor's polynomial of degree two about c=3 to estimate the value of (1.36)^(1/3) thanks
Sunday, December 4, 2016 by danial

Pre-Calculus
Given: r = 4/(-2-6sinθ) What is the distance between the pole and the directrix? A. 2 B.2/3 C.3 D.6
Saturday, December 3, 2016 by Sade

Calculus
Can someone help find limit using l'hopital rule lim x → ∞ ((3x-4)/(3x+2))^(3x+1), I'm trying to solve by adding ln function to both side.
Saturday, December 3, 2016 by Po

Calculus
Given: r = 4/(-2-6sinθ) What is the eccentricity of the function? A. 2 B. -2 C. 3 D. -3
Saturday, December 3, 2016 by Sade

Calculus
Given: 5cos6Θ What is the shape of the function? A. Limacon B. Rose C. Lemniscate D. Circle
Saturday, December 3, 2016 by Sade

Math - Calculus
The region in the first quadrant bounded by y=6x^2 , 2x+y=8, and the y-axis is rotated about the line x=-1. The volume of the resulting solid is: Please help me set up the integral for this one, I'm not sure how to do it. I've tried ∫[-4/3,1] pi (8-...
Friday, December 2, 2016 by Anon

Pre-Calculus
Convert to Rectangular: r*tan theta/sec theta=2 A. y=2 B. y=1/2 C. x=2 D. x=1/2
Friday, December 2, 2016 by Sade

Calculus
Convert to Polar: y/x = 4 A. r = 2 B. r = 16 C. Θ = 76 D. Undefined
Friday, December 2, 2016 by Sade

Calculus
convert to polar: 2xy=3 A. r=sqrt(3sin theta cos theta) B. r=sqrt[(3sin theta cos theta)/2] C. r=[3/(2sin theta cos theta)] D.This cannot be converted without ambiguity.
Friday, December 2, 2016 by Sade

Pre-Calculus
Convert to rectangular: 4=4sec theta A. y=2 B. y=4 C. x=2 D. x=4
Friday, December 2, 2016 by Iris

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Homework Help: Math