Sunday
October 4, 2015

# Homework Help: Math: Calculus

## Recent Homework Questions About Calculus

Calculus
Use linear approximation to approximate f(0.8) given f(x)=2x^3-3x+1
Sunday, December 14, 2014 by Anonymous

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 by Sarah

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 by Anonymous

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 by Anonymous

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 by Anonymous

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 by Anonymous

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 by Anonymous

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 by Anonymous

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 by JT

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 by Rainbows

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 by Susan

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 by Jenny

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 by Jacob

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 by khai

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 by Dana

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 by ivan

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 by JOE

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 by David

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 by Kyle

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 by Madison 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 by Jane 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 by Jane 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 by Harry 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 by Jane 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 by Anonymous 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 by Diolo Calculus lim (e^x+3x)^1/x as x approaches 0 Tuesday, December 9, 2014 by Diolo Calculus Y=2sinx-cos^2(x) on [0, 2pi] How do you solve for the x-intercept Tuesday, December 9, 2014 by Anonymous 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 by Anonymous 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 by Sarah 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 by Katie Calculus Find critical points for y'=2/3x^3-4x Monday, December 8, 2014 by Anon 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 by Jessica 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 by David 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 by Paige

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 by David

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 by Dani

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 by Dat nguyen

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 by Bill

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

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 by Anonymous

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 by Anonymous

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 by Ty

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 by crisly

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 by Dani

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 by gregory

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 by Guillermo

Calculus
Find the interval on which f(x)=xe^-x is increasing. I got (1,infinity)..
Friday, December 5, 2014 by Anonymous

Calculus
On what intervals is the function f(x)=e^e^2 increasing? Concave upward?
Friday, December 5, 2014 by Anonymous

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 by Erica

Calculus
Differentiate. cos^-1 2x
Friday, December 5, 2014 by Anonymous

Calculus
Differentiate. cos^3x My answer: -3cos^2x sin^2x
Friday, December 5, 2014 by Anonymous

Calculus
Find the interval on which f(x)=xe^-x is increasing. I got (1,infinity)..
Friday, December 5, 2014 by Anonymous

Calculus
If f(x)=the sqrt of 3x,find f'(3). Isn't it 3/2•sqrt of 3?
Friday, December 5, 2014 by Anonymous

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 by Eric

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 by Duane

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 by Jennifer

calculus
If sec x = -3, 0 < x < pi, find cot x.
Thursday, December 4, 2014 by Grant

pre-calculus
6cos^2(x)-5cos(x)-6
Thursday, December 4, 2014 by Ashleigh

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 by Duane

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 by Duane

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 by Steph

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 by Lucy

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 by Hailey

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 by Mary

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 by Linda

Calculus
Differentiate. e^cos(x^2+1) Is the answer -2xe^cos(x^2+1) sin(x^2+1)?
Monday, December 1, 2014 by Anonymous

calculus
Let f'(x)=4x^3-12x^2. (a) find three different functions with derivative equal to f'(x). how are the graphs of the three functions related? the only one that i can figure out is: f(x)=x^4+4x^3+y where y can equal any constant. any help on figuring out the other two ...
Monday, December 1, 2014 by kailee

calculus
When a ball is thrown vertically upward into the air with a velocity of 79 ft/sec its height, y(t), in feet after t seconds is given by y(t) = 79t − 16t 2 . Find the average velocity of the ball over the interval from 3 to 3 + h seconds, h 6=/= 0. 1. average vel. = &#...
Monday, December 1, 2014 by Morgan

calculus
I needed help with these FRQ in my APCalc course. Any help or walkthrough would be extremely helpful - thanks in advance. Let f be the function given by f(x)=3ln((x^2)+2)-2x with the domain [-2,4]. (a) Find the coordinate of each relative maximum point and each relative ...
Monday, December 1, 2014 by emily

General Calculus Question
On a graph what ways can it not be differentiable? I know at cusps it's not differentiable but are there other instances where it is not differentiable?
Monday, December 1, 2014 by Anonymous

Calculus
Water is being poured into a spherical bowl of radius 4cm at a rate of 2cm3/s. How fast is the water level rising when it is at 2cm?
Monday, December 1, 2014 by Sam

calculus, help!
Evaluate the definite integral: int_{1}^{e^9} \frac{dx}{x \sqrt{\ln x}} = i gt my answer as 1^(e^9) but it's saying it's wrong
Monday, December 1, 2014 by Amber

Calculus
consider the function f(x) = (x if x<1 (1/x if x>or equal to 1 Evaluate the definite integral: int_{-2}^{3} f(x)\,dx =
Monday, December 1, 2014 by Amber

Calculus
Which of the following functions does not have a derivative of zero? A. y=-1/100 B. y=4(pi)^2-9 C. y=sin^2x+cos^2x D. y=cscxtanxcosx E. All do
Monday, December 1, 2014 by Anonymous

Calculus
Estimate the area under the graph of f(x)= x^2 + 2 x from x=1 to x=5 using 4 approximating rectangles and left endpoints.
Monday, December 1, 2014 by Kate

Calculus...help
The projected public spending by the British government for the years 2010-2011 (t = 0) through 2014-2015 (t = 4) is 692 billion pounds/year. The projected public revenue for the same period is f(t) = 292.6t + 134.4 / t + 6.9 + 500 billion pounds (0 ge t ge 4). Find the ...
Monday, December 1, 2014 by sarah

calculus
The number of U.S. citizens 65 and older from 1990 through 2050 is estimated to be growing at the rate of, R(t)=0.063t^2 -0.48t+3.87, (0 less than or = t less than or = 15) million people/decade, where t is measured in decades and t = 0 corresponds to 1900. Show that the ...
Sunday, November 30, 2014 by mar

Differential equations in Calculus...plsssss help?
Suppose that represents the temperature of a cup of coffee set out in a room, where T is expressed in degrees Fahrenheit and t in minutes. A physical principle known as Newton’s Law of Cooling tells us that dT/dt = -1/15T+5 15T + 5. a) Supposes that T(0) = 105. What does ...
Sunday, November 30, 2014 by Bridget

Calculus
Find the limit as x approaches 1 5/(x-1)^2 I don't understand how to solve it because there would be a 0 on the denominator.
Sunday, November 30, 2014 by Anonymous

Calculus
Find dy/dx if x^2+y^2=2xy A. x/(x-y) B. (y+x)/(y-x) C. 1 D. -x/y E. None of these
Sunday, November 30, 2014 by Anon

Calculus with Diffrential Equations: Pleease help?
Suppose that represents the temperature of a cup of coffee set out in a room, where T is expressed in degrees Fahrenheit and t in minutes. A physical principle known as Newton’s Law of Cooling tells us that dT/dt = -1/15T+5 15T + 5. a) Supposes that T(0) = 105. What does ...
Sunday, November 30, 2014 by Bridget

Calculus
Suppose that represents the temperature of a cup of coffee set out in a room, where T is expressed in degrees Fahrenheit and t in minutes. A physical principle known as Newton’s Law of Cooling tells us that dT/dt = -1/15T+5 15T + 5. a) Supposes that T(0) = 105. What does ...
Sunday, November 30, 2014 by Bridget

Help with differential eqs problem???? (Calculus)
Consider the differential equation dy/dt=y-t a) Determine whether the following functions are solutions to the given differential equation. y(t) = t + 1 + 2e^t y(t) = t + 1 y(t) = t + 2 b) When you weigh bananas in a scale at the grocery store, the height h of the bananas is ...
Sunday, November 30, 2014 by Stacey

Calculus
The slope of the line tangent to the curve xy+(y+1)^2=6 at the point (2, 1) is
Sunday, November 30, 2014 by James

AP Calculus
For which of these functions f(x) does limit as x approaches negative infinity f(x)=2 A. (x-2)/(3x-5) B. 2x/sqrt(x-2) C. (2x^2-6x+1)/(1+x^2) D. (2x-1)/(x^2+1) E. None of these
Sunday, November 30, 2014 by Sarah

Calculus
Find limit as x approaches 5 (x^2-3x-10)/(x-5)
Sunday, November 30, 2014 by Anonymous

AP Calculus
Find the derivative for f(x)=-x^2+x Do I put -x^2 on the denominator? How would I solve it if that's the case?
Sunday, November 30, 2014 by Sarah

Calculus
Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these
Sunday, November 30, 2014 by Anonymous

AP Calculus
Find f'(x): f(x)=(x^2-3x)/x^2 A. 2x-3/x^2 B. 2x-3/2x C. 1-(3/x) D. 3/x^2 E. None of these I get confused on the simplifying part.
Sunday, November 30, 2014 by Anon

AB Calculus
I figured out that part "A" is -3/8, but i can't figure out part 2, a or b. please explain and help. thanks. Sand is falling from a rectangular box container whose base measures 40 inches by 20 inches at a constant rate of 300 cubic inches per minute. a) how is ...
Sunday, November 30, 2014 by Jake

AP Calculus
Find limit as x approaches 1 5/(x-1)^2 A. 0 B. Negative infinity C. 5/4 D. Infinity E. None of these
Sunday, November 30, 2014 by Anon

Calculus
Find the derivative: f(x)=1/cubed root(3-x^3) A. -1/3(3-x^3)^4/3 B. x^2/(3-x^3)^4/3 C. -x^2/(3-x^3)^2/3 D. -x^2/(3-x^3)^4/3 E. None of these
Sunday, November 30, 2014 by Anonymous

Calculus
If f(x)=x^2+1 and g(x)=2x-1, find d/dx[f'(g(x))] at x=1 A. 2 B. 6 C. 4 D. 0 E. None of these
Sunday, November 30, 2014 by Anon

AP Calculus
Find all points on the graph of f(x)=-x^3+3x^2-2 where there is a horizontal tangent line.
Sunday, November 30, 2014 by Sarah

Calculus
Find the limit as x approaches 0 [(sqrt(x+9))-3]/x A. 0 B. 1 C. Infinity D. 1/3 E. None of these
Sunday, November 30, 2014 by Anonymous

Calculus,Reaction rates
A man walks across a bridge at the rate of 5 ft/s as a boat passes directly beneath him at 10 ft/s. If the bridge is 10 ft above the boat, how fast are the man and the boat separating 1 second later?
Sunday, November 30, 2014 by ray

AP Calculus
Let f(7)=0, f'(7)=14, g(7)=1, g'(7)=1/7. Find h'(7) if h(x)=f(x)/g(x)
Sunday, November 30, 2014 by Sarah

Calculus
Find the derivative of x^2f(x) A. x[xf'(x)+2f(x)] B. 2xf'(x) C. x[xf'(x) +2f'(x)] D. x^2f'(x) E. None of these
Sunday, November 30, 2014 by Anonymous

Calculus,reaction rates
A car starting at 12:00 noon travels west at a speed of 30 kph. Another car starting from the same point at 2:00 PM travels north at 45 kph. Find how fast the two are separating at 4:00 PM?
Sunday, November 30, 2014 by @jayr

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