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September 22, 2014

September 22, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Calculus **

Consider the function f(x) = x^4 - 72 x^2 + 3, -5 less than or equal to x less than or equal to 13. This function has an absolute minimum value equal to and an absolute maximum value to
*Monday, August 5, 2013 at 9:23am*

**Calculus **

Find the linear approximation of f(x)=\ln x at x=1 and use it to estimate \ln 1.47.
*Monday, August 5, 2013 at 9:14am*

**Pre Calculus 2**

A ship regularly travels between two ports that are 350 miles apart. When traveling directly from A to B, the ship sails on a bearing of . However, to avoid a storm, one day the ship leaves A on a bearing of and travels for 6 hours at 17mph. When the bad weather has passed, it...
*Sunday, August 4, 2013 at 3:45pm*

**Writing**

Writeacher,when is the best time for me to post this so that you are available? Prompt: New laws are being proposed that would require schools to accommodate students who wish to transfer to a different school if the school falls below a certain level on statewide standardized...
*Sunday, August 4, 2013 at 12:28am*

**Maths- Calculus **

a sheet of cardboard is to be folded up to make a closed box. If the cardboard measures 55 cm by 80cm calculate the maximum volume of the box that can be made from this sheet of cardboard
*Saturday, August 3, 2013 at 8:37pm*

**differential calculus**

a bed is in a form of a circular sector. find its radius if the area of the sector is 1000 centimeter square and its perimeter is a minimum
*Wednesday, July 31, 2013 at 7:38am*

**Calculus-Series**

Sigma with n=1 to n= positive infinity (x^3)* (e^(-x^4)) Does it converge or diverge and use the integral test to show how. I got that it diverges, but this isn't correct. Can someone please explain? Thanks.
*Monday, July 29, 2013 at 10:34am*

**Calculus--Steve plz?**

Find the inverse Laplace transform of the function: F(s)=1/(s(s+1)(s+2)) ...A special thank you to Steve who has already been a tremendous help! Thank you so much =)
*Monday, July 29, 2013 at 3:40am*

**Calculus **

This integral does not converge using the normal (Leibniz) definition of integration. Using the identity: int(0-->inf)f(t)/(t)dt = int(0-->inf)F(p)dp, find: integral(0-->inf)(cos(at)+cos(bt))/t dt
*Monday, July 29, 2013 at 12:26am*

**Calculus**

Let xy=1 and dy/dt=1 Find dx/dt when x=5
*Sunday, July 28, 2013 at 9:11pm*

**Calculus HELP **

A particle is moving along the curve y=5 sqrt (2x+6). As the particle passes through the point (5,20 , its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
*Sunday, July 28, 2013 at 6:47pm*

**Calculus **

At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship B is sailing north at 17 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) Please help!
*Sunday, July 28, 2013 at 6:21pm*

**Calculus!!**

Using the identity: L{f(t)/t}=integral F(p)dp (s -->infinity), find the integral of: sin(t)/t dt (0-->infinity)
*Sunday, July 28, 2013 at 3:44pm*

**calculus**

Find the inverse Laplace transform of the function: F(s)=1/(s(s+1)(s+2))
*Sunday, July 28, 2013 at 3:38pm*

**Calculus-PLZ HELP STEVE!**

Find the inverse Laplace transform of the following function: F(s)=(9+s)/(4-s^2)
*Sunday, July 28, 2013 at 5:04am*

**calculus**

Write the form of the partial fraction decomposition of the function do not determine the numerical values of the coefficients. 1/x^4-2401
*Sunday, July 28, 2013 at 12:37am*

**Calculus HELP!**

Use the fact that L{f'}=sF-f(0) to derive the formula for L{cosh at}
*Saturday, July 27, 2013 at 9:33pm*

**Calculus**

Solve the differential equation by using Laplace transforms. Find the particular solution that satisfies them of: y''+2y'+y =4e^(-t)
*Saturday, July 27, 2013 at 9:27pm*

**calculus **

Solve the DE by using the Laplace transform: x''+x=cos(3t), x(0)=x'(0)=0
*Saturday, July 27, 2013 at 4:33pm*

**Calculus**

Find the inverse Laplace transform of: F(s)=3/(s-4)
*Saturday, July 27, 2013 at 4:30pm*

**Elements of Structures MIT 2.02**

This is my last chance and I need to see if my calculus is correct. Is it correct ? Q2_2_4 vA=-5.82 cm ??
*Saturday, July 27, 2013 at 2:32pm*

**Calculus**

How can I prove this series alternating series converges(this is the answer)? (-1)^2*(2/3)^n I tried it this way: an = (2/3)^n, then i just broke it down. 2^n/(3^n) and i took the ratio of it and got 2/3 which does not equal to one which would mean the series diverges.. but ...
*Friday, July 26, 2013 at 11:23pm*

**Calculus-HELP!!!**

Find the inverse Laplace transform of: F(s)=2/s^4
*Friday, July 26, 2013 at 3:31pm*

**calculus (please help steve)**

Evaluate ∬(x^2+y^2)^2/(x^2y^2) dx dy over the region common to the circles x^2+y^2=7x and x^2+y^2=11y.
*Friday, July 26, 2013 at 8:09am*

**Calculus**

Find the Laplace transform of: f(t)=t-2e^(3t)
*Thursday, July 25, 2013 at 9:40pm*

**calculus (please help steve)**

Evaluate ∬(x^2+y^2)^2/(x^2y^2) dx dy over the region common to the circles x^2+y^2=7x and x^2+y^2=11y.
*Thursday, July 25, 2013 at 6:17pm*

**calculus**

Evaluate ∬(x^2+y^2)^2/(x^2y^2) dx dy over the region common to the circles x^2+y^2=7x and x^2+y^2=11y.
*Thursday, July 25, 2013 at 4:41pm*

**Calculus-HELP!!!**

Find the Laplace transform of: f(t) = cos^(2)(2t)
*Thursday, July 25, 2013 at 3:43pm*

**Calculus-HELP!!!**

Find the Laplace transform of: f(t) = cos^(2)(2t)
*Thursday, July 25, 2013 at 2:32pm*

**calculus**

valuate ∬(x^2+y^2)^2/(x^2y^2) dx dy over the region common to the circles x^2+y62=7x and x^2+y^2=11y
*Thursday, July 25, 2013 at 2:19pm*

**calculus**

Evaluate ∬R 1/sqrt(x^2+y^2) dx dy, where R is the region bounded by y≥0 and x^2−x+y^2≤0.
*Thursday, July 25, 2013 at 2:11pm*

**calculus**

Let V be the volume of the region bounded by x^2+y^2≥z^2, z≥0 and x^2+y^2+z^2≤1. What is the value of ⌊100V⌋?
*Thursday, July 25, 2013 at 2:10pm*

**calculus**

A ball is thrown straight downward from the top of a tall building, with an initial speed of 30 ft/s. Suppose the ball strikes the ground with a speed of 190 ft/s. How tall is the building? Acceleration is -32 ft/s squared
*Wednesday, July 24, 2013 at 1:27pm*

**Calculus-HELP PLZ !!!!**

Find the complete general solution to the 2nd ODE: 9y'' + 9y' - 4y = 0
*Monday, July 22, 2013 at 4:37pm*

**Calculus**

Find the slope of the functions graph at a given point. Then find an equation for the line tangent to the graph there. f(x)=2*square root of x. (1,2) Could someone please help me figure this one out?
*Sunday, July 21, 2013 at 6:24pm*

**calculus (hint?)**

f(x) is a twice differentiable function such that f(2x)=f(x+5)+(x−5)^2 What is f''(x)?
*Sunday, July 21, 2013 at 6:01pm*

**Calculus (Limits)**

f(x) is a function differentiable at x=1 and f′(1)=1/13. What is the limit of (x^3 - 1)/f(x) - f(1) as x approaches 1?
*Sunday, July 21, 2013 at 3:17am*

**Calculus-HELP!!!**

Find the complete general solution and a particular solution that satisfies the initial conditions: 2y'' + y' - 4y = 0 y(0)=0, y'(0)=1
*Saturday, July 20, 2013 at 9:10pm*

**calculus**

If f(x)=∫ (from -x to x) cos(t)/(1+e^t) dt and x=asin(77/85), then the absolute value of f′(x)−f(x) can be expressed as a/b, where a and b are coprime positive integers. What is the value of a+b?
*Saturday, July 20, 2013 at 7:28pm*

**calculus**

If f(x)=∫ (from -x to x) cos(t)/(1+e^t) dt and x=asin(77/85), then the absolute value of f′(x)−f(x) can be expressed as a/b, where a and b are coprime positive integers. What is the value of a, and what is the value of b?
*Saturday, July 20, 2013 at 4:32pm*

**calculus**

f(x) and f′(x) are continuous, differentiable functions that satisfy f(x)=x^3+4x^2+∫ (from 0 to x)(x−t)f′(t) dt. What is f′(5)−f(5)?
*Saturday, July 20, 2013 at 3:58pm*

**Calculus**

Find f(x) by solving the initial value problem. f '(x) = 3ex - 4x; f(0) = 10 f(x) =
*Friday, July 19, 2013 at 7:34pm*

**Calculus**

The management of Lorimar Watch Company has determined that the daily marginal revenue function associated with producing and selling their travel clocks is given by R '(x) = -0.003x + 12 where x denotes the number of units produced and sold and R '(x) is measured in ...
*Friday, July 19, 2013 at 7:33pm*

**Calculus**

Find f (x) by solving the initial value problem. f '(x) = 6x^2 - 10x; f(2) = 5 f(x) =
*Friday, July 19, 2013 at 7:33pm*

**Calculus**

The management of the Titan Tire Company has determined that the quantity demanded x of their Super Titan tires/week is related to the unit price p by the relation p = 144 − x^2 where p is measured in dollars and x is measured in units of a thousand. Titan will make x ...
*Friday, July 19, 2013 at 7:32pm*

**Calculus**

Find the amount of an annuity if $210/month is paid into it for a period of 20 yr, earning interest at the rate of 8%/year compounded continuously. (Round your answer to two decimal places.) $
*Friday, July 19, 2013 at 7:31pm*

**Calculus**

In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of college teachers was described by the function f(x) = 13/14x^2 + 1/14x and that of lawyers by the function g(x) = 5\7x^4 + 2/7x. (a...
*Friday, July 19, 2013 at 7:31pm*

**calculus (point me in the right direction please?)**

f(x) and f′(x) are continuous, differentiable functions that satisfy f(x)=x^3+4x^2+∫(from 0 to x)(x−t)f′(t) dt. What is f′(5)−f(5)?
*Friday, July 19, 2013 at 2:30pm*

**Calculus**

Mathematica Project - Position, Velocity, and Acceleration? A rocket is fired vertically upward into the air from a launching platform 100 ft above the ground. The platform is then retracted, and the rocket is allowed to fall to the ground. The height (in ft) of the rocket ...
*Friday, July 19, 2013 at 1:38pm*

**Calculus**

Find the complete solution to the 2nd ODE: 2y''+3y'+y=t^(2)+3sin(t)
*Thursday, July 18, 2013 at 6:15pm*

**calculus (point me in the right direction please?)**

Let V be the volume of the three-dimensional structure bounded by the region 0≤z≤1−x^2−y^2. If V=a/bπ, where a and b are positive coprime integers, what is a+b?
*Thursday, July 18, 2013 at 3:45pm*

**Calculus-HELP PLZ !!!!**

Find the complete general solution to the second order DE: 4y'' - 9y = 0
*Thursday, July 18, 2013 at 3:14pm*

**calculus**

he volume of the solid obtained by rotating the region bounded by x=(y−2)^2 and y=x about the x-axis has the form N/2π. What is the value of N?
*Thursday, July 18, 2013 at 2:27pm*

**calculus**

How many positive integers a (<1000) are there such that the function f(x)=x^4−76/3x^3+2ax^2 has no local maxima?
*Thursday, July 18, 2013 at 1:51pm*

**calculus**

Let V be the volume of the three-dimensional structure bounded by the region 0≤z≤1−x^2−y^2. If V=a/bπ, where a and b are positive coprime integers, what is a+b?
*Thursday, July 18, 2013 at 1:41pm*

**calculus**

How many integer values of a are there such that f(x)=x^+ax^2+8ax+25 has no local extrema?
*Thursday, July 18, 2013 at 12:40pm*

**calculus**

A 3-dimensional structure is obtained from rotating the parabola y=x^2 about the y-axis. Each second, 2π units^3 of water is being poured into the structure from the top. When 8π units^3 of water has been poured in the structure, the instantaneous change in water ...
*Thursday, July 18, 2013 at 12:14pm*

**calculus**

The area bounded by the curve 2y^2=x and the line 4y=x is rotated around the y-axis. The volume of the resulting structure can be expressed as V=a/bπ, where a and b are coprime positive integers. What is the value of a+b?
*Thursday, July 18, 2013 at 12:14pm*

**AP Calculus**

An open box is to be made from cutting squares of side 's' from each corner of a piece of cardboard that is 35" by 40". (a) Write an expression for the volume, 'V', of the box in terms of 's'. (b) Draw a graph of V(s). (c) State the domain and...
*Wednesday, July 17, 2013 at 7:49pm*

**calculus**

The area bounded by the curve 2y^2=x and the line 4y=x is rotated around the y-axis. The volume of the resulting structure can be expressed as V=a/bπ, where a and b are coprime positive integers. What is the value of a+b?
*Wednesday, July 17, 2013 at 7:28pm*

**calculus**

A 3-dimensional structure is obtained from rotating the parabola y=x^2 about the y-axis. Each second, 2π units^3 of water is being poured into the structure from the top. When 8π units^3 of water has been poured in the structure, the instantaneous change in water ...
*Wednesday, July 17, 2013 at 7:27pm*

**Calculus**

The management of Lorimar Watch Company has determined that the daily marginal revenue function associated with producing and selling their travel clocks is given by R '(x) = -0.003x + 12 where x denotes the number of units produced and sold and R '(x) is measured in ...
*Wednesday, July 17, 2013 at 7:11pm*

**Calculus**

The management of the Titan Tire Company has determined that the quantity demanded x of their Super Titan tires/week is related to the unit price p by the relation p = 144 − x^2 where p is measured in dollars and x is measured in units of a thousand. Titan will make x ...
*Wednesday, July 17, 2013 at 7:11pm*

**Calculus**

Camille purchased a 10-yr franchise for a computer outlet store that is expected to generate income at the following rate measured in dollars/year. R(t) = 400,000 If the prevailing interest rate is 10%/year compounded continuously, find the present value of the franchise. (...
*Wednesday, July 17, 2013 at 7:10pm*

**Calculus**

Find the amount of an annuity if $210/month is paid into it for a period of 20 yr, earning interest at the rate of 8%/year compounded continuously. (Round your answer to two decimal places.)
*Wednesday, July 17, 2013 at 7:09pm*

**Calculus**

In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of college teachers was described by the function f(x) = 13/14x^2 + 1\14x and that of lawyers by the function g(x) = 5\7x^4 + 2\7x (a...
*Wednesday, July 17, 2013 at 7:08pm*

**math calculus**

The volume of the solid obtained by rotating the region bounded by y=x^2−2x and y=x about the line y=9, has the form a/bπ, where a and b are positive coprime integers. What is the value of a+b?
*Wednesday, July 17, 2013 at 1:54pm*

**Calculus**

How would you go about finding the derivative of y=1/(3x^2)-5/(2x)?
*Wednesday, July 17, 2013 at 10:55am*

**Calculus**

A fence 5 feet tall runs parallel to a tall building at a distance of 2 feet from the building. We want to find the the length of the shortest ladder that will reach from the ground over the fence to the wall of the building. Here are some hints for finding a solution: Use the...
*Wednesday, July 17, 2013 at 10:52am*

**Calculus**

Find the positive value of x which satisfies x = 4.3cos(x). Give the answer to six places of accuracy. Remember to calculate the trig functions in radian mode
*Wednesday, July 17, 2013 at 10:47am*

**Calculus**

The equation 10(x-1)(x-2)(x-3) = 1 has three real solutions a<b<c where a = , b = , and c = . Enter your answers with at least six correct digits beyond the decimal point. Hint: Ask what the solutions are if the right hand side is 0 instead of 1, and use Newton's ...
*Wednesday, July 17, 2013 at 10:38am*

**Calculus**

Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using geometry. ç6 −6 36−x^2dx
*Monday, July 15, 2013 at 10:11am*

**Calculus**

For the function f described by the following table, estimate ç40 0 f(x)dx using the following. Enter each answer as a sum to show your work. 5 left rectangles 5 right rectangles 5 midpoint rectangles x 0 4 8 12 16 20 24 28 32 36 40 y 7 -46 -50 45 -7 -26 23 -3 18...
*Monday, July 15, 2013 at 10:10am*

**Calculus**

Consider the function f(x)=(8)/(x^2)−(8)/(x^5) . Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(2) equals ?
*Monday, July 15, 2013 at 8:49am*

**Calculus**

Find the point on the line 7x+5y−2=0 which is closest to the point (−6,−2).
*Monday, July 15, 2013 at 8:47am*

**Calculus**

A rancher wants to make a rectangular pen to house her animals. She will divide it up with 3 fences down the middle parallel to one side. If she has 14000 ft of fencing to work with, what are the dimensions of the pen of greatest area? Width = Length = What is the greatest ...
*Saturday, July 13, 2013 at 9:17am*

**Calculus**

Find the point on the line 7x+5y−2=0 which is closest to the point (−6,−2).
*Saturday, July 13, 2013 at 9:12am*

**Calculus**

Find the absolute extrema of the function. (Round your answer to three decimal places.) f(x) = xe^-x2 on [0,2] Absolute maximum value: at x = Absolute minimum value: at x =
*Friday, July 12, 2013 at 10:07pm*

**Calculus**

Find the derivative of the function. f(x) = e^x8 - 6
*Friday, July 12, 2013 at 10:02pm*

**Calculus**

Find the derivative of the function. g(t) = t2 ln(e2t + 9)
*Friday, July 12, 2013 at 8:33pm*

**Calculus**

Find the derivative of the function. f(x) = 6 (ln(x))^(5\/2)
*Friday, July 12, 2013 at 8:30pm*

**Calculus**

Find the derivative of the function. f(x) = ln((x6 - 7)6)
*Friday, July 12, 2013 at 8:29pm*

**Calculus**

Find the derivative of the function. f(x) = text(ln)(9 x^2 - 3 x + 1)
*Friday, July 12, 2013 at 8:29pm*

**Calculus**

Find the derivative of the function. f(x)=ln(sqrt(x)+6)
*Friday, July 12, 2013 at 8:28pm*

**Calculus**

Find the derivative of the function. f(x) = ex8 - 6
*Friday, July 12, 2013 at 8:27pm*

**Calculus**

The question is find the area of the reagion that is bounded by the curve y=arctan x, x=0, x=1, and the x-axis. So I've drawn the enclosed region. To find the area would I use the Disc/shell method? If so the formula that I came up with looks like this: If area = pi(r)^2 ...
*Friday, July 12, 2013 at 7:54pm*

**Calculus**

Find the absolute extrema of the function on the interval [2, 9]. (Round your answers to the nearest hundredth.) g(x)=x/(ln(x)) Absolute minimum: at x = Absolute maximum: at x =
*Friday, July 12, 2013 at 7:47pm*

**Calculus**

Find the derivative of the function. g(x) = ln(3x + 5)
*Friday, July 12, 2013 at 7:27pm*

**Calculus **

There is this improper integral problem I've been given. I've completed most of it but still don't understand what I'd get, I don't quite get what it means to go from 'e' to 'infity'. What would I get? -ln(x)+1/x from 'e' to '...
*Friday, July 12, 2013 at 4:41pm*

**Calculus**

Find the absolute extrema of the function. (Round your answer to three decimal places.) f(x) = xe-x2 on [0,2] Absolute maximum value: at x = Absolute minimum value: at x =
*Friday, July 12, 2013 at 3:12pm*

**Calculus**

Find the derivative of the function. f(x) = ex8 - 6
*Friday, July 12, 2013 at 3:08pm*

**Calculus**

Four hundred students attended the dedication ceremony of a new building on a college campus. The president of the traditionally female college announced a new expansion program which included plans to make the college coeducational. The number of students who learned of the ...
*Friday, July 12, 2013 at 3:02pm*

**Calculus**

The growth rate of Escherichia coli, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min. (...
*Friday, July 12, 2013 at 3:01pm*

**Calculus**

Skeletal remains had lost 81% of the C-14 they originally contained. Determine the approximate age of the bones. (Assume the half life of carbon-14 is 5730 years. Round your answer to the nearest whole number.) yr
*Friday, July 12, 2013 at 3:00pm*

**AP Calculus**

Show work to determine if the relation is even, odd, or neither. 1. 3x=|y| (|y|=abs. value of y) Simplify the following complex fractions. 2. [(3/x)-(4/y)]/[(4/x)-(3/y)] PLEASE HELP!
*Friday, July 12, 2013 at 12:33pm*

**AP Calculus**

[(3/x)-(4/y)]/[(4/x)-(3/y)]
*Friday, July 12, 2013 at 12:31pm*

**calculus**

two forces f1 and f2 acting on an object at a 90 degree angle will pull the object with a reluctant force, R, at an angle between f1 and f2. R= ã f1^2+f2^2 R=15 and f1=9 find f2
*Friday, July 12, 2013 at 9:11am*

**Calculus**

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y = 4(x^(1/2)), y=4, and 2y +2x = 6 I keep getting an area around 21.3 but it is incorrect. Am I close? Thank you!
*Thursday, July 11, 2013 at 9:15pm*

**Calculus**

The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is given by the following equation. A(t) = 0.26te-0.3t , (0 t 12) (a) What is the percentage of alcohol in a person's bloodstream after 1/2 hr? After 6 hr? (Round your answers...
*Thursday, July 11, 2013 at 7:22pm*

**Calculus**

In a study prepared in 2000, the percentage of households using online banking was projected to be f(t) = 1.7e0.71t , (0 t 4) where t is measured in years, with t = 0 corresponding to the beginning of 2000. (Round your answers to three decimal places.) (a) What was the ...
*Thursday, July 11, 2013 at 7:20pm*

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