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March 2, 2015

March 2, 2015

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Calculus Help Please Urgent!!!**

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x^2, y = 5x, x ≥ 0; about the x-axis V = ??? Sketch the region
*Saturday, May 3, 2014 at 9:19pm*

**calculus help**

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 4(square root of (3y)), x = 0, y = 3; about the y-axis V=?????
*Saturday, May 3, 2014 at 9:16pm*

**calculus help**

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4 − 1/2x, y = 0, x = 0, x = 1; about the x-axis V = ????
*Saturday, May 3, 2014 at 9:11pm*

**Pre Calculus**

Determine an approximate solution to the inequality 2^x=x^2.
*Saturday, May 3, 2014 at 2:49pm*

**Pre Calculus**

Solve the inequality sinx>square root x.
*Saturday, May 3, 2014 at 2:47pm*

**Calculus**

he rate of growth of the profit from an invention is approximated by P'(x)=xe^-x^2, where x represents time measured in years. The total profit in year 1 that the invention is in operation is $15,000. Find the total profit function. I know the answer is +.199 but how? I ...
*Friday, May 2, 2014 at 10:37am*

**Physics/Calculus**

It takes a force of 21,714lb to compress a coil spring assembly on a New York City Transit Authority subway car from its height of 8in to its fully compressed height of 5in. A. What is the assemblys force constant? B. How much work does it take to compress the assembly the ...
*Friday, May 2, 2014 at 9:43am*

**Calculus**

An electric elevator cable with a motor at the top has a multistrand cable weighing 4.5lb/ft. When the car is at the first floor, 180ft of cable are pulled out, and effectively 0ft are out when the car is at the top floor. How much work does the motor do just lifting the cable...
*Friday, May 2, 2014 at 9:41am*

**Calculus/Physics**

A spring has a natural length of 10in. An 800lb force stretches the spring to 14in. A. Find the force constant B. How much work is done in stretching the spring from 10 to 12 inches? C. How far beyond its natural length will a 1600lb force stretch the spring.
*Friday, May 2, 2014 at 9:39am*

**Calculus/Physics **

It took 1800J of work to stretch a spring from its natural length of 2m to a length of 5m. Find the spring's force constant.
*Friday, May 2, 2014 at 9:38am*

**Calculus**

Consider the differential equation dy/dx=xy-y. Find d^2y/dx^2 in terms of x and y. Describe the region in the xy plane in which all solutions curves to the differential equation are concave down.
*Thursday, May 1, 2014 at 10:44pm*

**Calculus Help and Check**

find the derivative of the function integral from cosx to sinx (ln(8+3v)dv) y'(x)= (sin(8+3((sin(x)))+x)+sin(8+3sin(x)-x))/2 Is this the right answer?????
*Thursday, May 1, 2014 at 8:49pm*

**calculus help**

use the midpoint rule with the given value of n to approximate the integral. round the answer to four decimal places. integral 0 to pi/2 2cos^3(x)dx, n=4 M4=????
*Thursday, May 1, 2014 at 8:44pm*

**calculus help**

find the derivative of the function integral from cosx to sinx (ln(8+3v)dv)
*Thursday, May 1, 2014 at 8:03pm*

**Calculus Help Please Urgent!!!**

Breathing is cyclic and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 3 s. The maximum rate of air flow into the lungs is about 0.3 L/s. This explains, in part, why the function f(t) = (3/10)sin(2πt/3) has often been used ...
*Thursday, May 1, 2014 at 7:27pm*

**calculus help**

find the derivative of the function. integral cos(x) to sin(x) ((ln(8+3v))dv)
*Thursday, May 1, 2014 at 6:50pm*

**Calculus Help **

Find the values of c such that the area of the region bounded by the parabolas y = 4x^2 − c^2 and y = c^2 − 4x^2 is 256/3. (Enter your answers as a comma-separated list.)
*Thursday, May 1, 2014 at 5:39pm*

**Calculus Help **

Use calculus to find the area A of the triangle with the given vertices. (0, 0), (3, 1), (1, 8) A = ????
*Thursday, May 1, 2014 at 5:24pm*

**pre calculus**

4+7i divided by 2 (problem is written as a fraction) 4+7i _________ 2
*Thursday, May 1, 2014 at 2:06am*

**calculus 1**

find the cubic function,f(x)=ax^3+bx^2+cx^d , has local maximum value of 3, at x=-2 and local minimum value of 0, at x=1.
*Thursday, May 1, 2014 at 1:44am*

**pre calculus**

Express statement as an equation. Use the given information to find the constant proportionality z varies inversely as t. If t 3, then z 5.
*Thursday, May 1, 2014 at 1:28am*

**pre calculus**

You have a $50 coupon from the manufacturer good for the purchase of a cell phone. The store where you are purchasing your cell phone is offering a 20% discount on all cell phones. Let x represent the regular price of the cell phone. (a) Suppose only the 20% discount applies. ...
*Thursday, May 1, 2014 at 1:12am*

**Calculus**

A fence 8 feet tall runs parallel to a tall building at a distance of 6 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, April 30, 2014 at 11:16pm*

**Calculus**

Find the point P on the graph of the function y=\sqrt{x} closest to the point (2,0)
*Wednesday, April 30, 2014 at 8:27pm*

**Calculus**

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 33 feet?
*Wednesday, April 30, 2014 at 8:21pm*

**Calculus**

A fence is to be built to enclose a rectangular area of 310 square feet. The fence along three sides is to be made of material that costs 4 dollars per foot, and the material for the fourth side costs 12 dollars per foot. Find the dimensions of the enclosure that is most ...
*Wednesday, April 30, 2014 at 7:35pm*

**Calculus**

Find the point on the line -4x+7y+3=0 which is closest to the point(-5,-5)
*Wednesday, April 30, 2014 at 7:30pm*

**Calculus Help Please Urgent!!!**

Prove that the integral on the interval [a,b] of x is equal (b^2-a^2)/2 integral a to be (x)dx = (b^2-a^2)/2 using the definition of a Definite Integral. This is the limit of a sum approach. show steps please!!! Thank you!!!
*Wednesday, April 30, 2014 at 6:59pm*

**Calculus**

if the work required to stretch a spring 1 ft beyond its natural length is 12 ft-b, how much work is needed to stretch 9 inches beyond its natural length?
*Wednesday, April 30, 2014 at 12:28am*

**Calculus Help and Check**

The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 − 0.01x + 0.000012x2 (in dollars per yard). Find the increase in cost if the production level is raised from 2000 yards to 4000 yards. $186,000
*Tuesday, April 29, 2014 at 8:45pm*

**calculus**

3x^2-75/6x+30
*Tuesday, April 29, 2014 at 7:37pm*

**calculus**

x^2-9/8x-24
*Tuesday, April 29, 2014 at 7:36pm*

**calculus**

(x^2-1)/5x+5
*Tuesday, April 29, 2014 at 7:34pm*

**calculus**

8x^3 + 27 divided by 4x^2 + 12x +9
*Tuesday, April 29, 2014 at 6:44pm*

**calculus**

9x^3+5x-8 divided by 3x-2
*Tuesday, April 29, 2014 at 6:40pm*

**calculus**

24x^2-10x-21/32^2-18
*Tuesday, April 29, 2014 at 2:37pm*

**calculus**

(x^2-4x+6)(x-3)^-3
*Tuesday, April 29, 2014 at 2:34pm*

**calculus**

9x^3+5x-8/3x-2
*Tuesday, April 29, 2014 at 2:33pm*

**calculus**

(2y^3-3y^2+3y-4)/(y-2)
*Tuesday, April 29, 2014 at 2:32pm*

**CALCULUS**

The region R is bounded by the x-axis, y-axis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the x-axis. C. The solid formed in part B is divided into two solids of equal volume by a plane ...
*Tuesday, April 29, 2014 at 2:32pm*

**calculus**

x^2+5X/(x^3-25x)(x-5)^-1
*Tuesday, April 29, 2014 at 2:30pm*

**calculus**

8x^3+27/4x^2+12x+19
*Tuesday, April 29, 2014 at 2:29pm*

**calculus**

24^2-10x-21/32x^2-81
*Tuesday, April 29, 2014 at 2:28pm*

**CALCULUS HELP PLZ**

The region R is bounded by the x-axis, y-axis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the x-axis. C. The solid formed in part B is divided into two solids of equal volume by a plane ...
*Tuesday, April 29, 2014 at 1:56pm*

**Calculus**

How do you find the first and second derivative of the following function? P(t)=20/(1+3e^-0.02t)
*Monday, April 28, 2014 at 10:58pm*

**Calculus**

The following are about an infinite region in the 1st quadrant between y=e^-x and the x-axis. B)Find the volume of the solid generated by revolving the region about the y-axis Part A was solved below. Does anyone know how to do Part B?
*Sunday, April 27, 2014 at 10:00pm*

**Calculus**

The following are about an infinite region in the 1st quadrant between y=e^-x and the x-axis. A) Find the area of the region B)Find the volume of the solid generated by revolving the region about the y-axis
*Sunday, April 27, 2014 at 9:08pm*

**CALCULUS**

two birds are flying along in 3-space. At time t, the first bird is at the point (x,y,z) on the line
*Sunday, April 27, 2014 at 2:33am*

**CALCULUS**

Determine the intervals for which the curve r(t)=4sin^3(t)i + 7cos^3(t)j is smooth on [0,2pai]
*Sunday, April 27, 2014 at 2:09am*

**Calculus Help Please Urgent!!!**

a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2 using three rectangles and right endpoints. R3= ??? Then improve your estimate by using six rectangles. R6= ??? Sketch the curve and the approximating rectangles for R3 and R6? b) Repeat part (a) using left ...
*Saturday, April 26, 2014 at 8:39pm*

**Calculus**

Ian's house is located 20km north of Aida's house. At 9am, one saturday, Ian leaves his house and jogs south at 8km/hour. At the same time Aida leaves her house and jogs east at 6km/h. When are Ian and Aida closest together given that they both run for 2.5 hours? The ...
*Saturday, April 26, 2014 at 10:59am*

**Calculus**

How fast must you release the string of your kite if the kite that you are flying is 40 meters high, 50 meters away from you and moving horizontally away at rate of 30 meters per minute?
*Friday, April 25, 2014 at 10:13pm*

**Calculus Please Help4**

Consider the area between the graphs x+2y=9 and x+6=y^2. This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals as integral f(x)dx from a,b + integral g(x)dx from b,c I got a=-6 b=3 c=19 but what does f(x)=? g(...
*Friday, April 25, 2014 at 8:27pm*

**Calculus Please Help3**

Find the area of the region. 2y=3sqrtx, y=5 and 2y+2x=5 ty
*Friday, April 25, 2014 at 8:10pm*

**Calculus Please Help2**

Evaluate the integral by using substitution. Use an upper-case "C" for the constant of integration. integral x^5((x^6-2)^10)dx ty
*Friday, April 25, 2014 at 8:08pm*

**Calculus Please Help**

integral t^2dt from x to x^2 f'(x)=?
*Friday, April 25, 2014 at 7:38pm*

**calculus help**

A drinking cup is made in the shape of a right circular cylinder. for a fixed volume, we wish to make the total material used, the circular bottom and the cylindrical side, as small as possible. Find the ratio of the height to the diameter that minimizes the amount of material...
*Friday, April 25, 2014 at 6:33pm*

**calculus help**

for f(x)= ln(x-3) on the interval [5,9], find c so that f'(c)= (f(b)-f(a))/(b-a)
*Friday, April 25, 2014 at 6:21pm*

**calculus help**

Farmer Brown wants to fence in a rectangular plot in a large field, using a straight rock wall that is already there as the north boundary. The fencing for the east and west sides of the plot will cost $3 a yard, but she needs to use special fencing, which costs $5 a yard, on ...
*Friday, April 25, 2014 at 5:53pm*

**calculus help**

At time t=0, an astronaut stands on a platform 3 meters above the moon's surface and throws a rock directly upward with an initial velocity of 32 m/sec. if the acceleration due to gravity is 1.6 m/sec^2. a) find the equations of motion for the throwing of this rock. -1. a(...
*Friday, April 25, 2014 at 5:48pm*

**Locus- Calculus**

Find the equation of the locus of the point representing z if |z-5-12i| + |z-5+21i|=13
*Friday, April 25, 2014 at 1:19am*

**calculus help**

A drinking cup is made in the shape of a right circular cylinder. for a fixed volume, we wish to make the total material used, the circular bottom and the cylindrical side, as small as possible. Find the ratio of the height to the diameter that minimizes the amount of material...
*Thursday, April 24, 2014 at 10:28pm*

**Calculus Help **

Farmer Brown wants to fence in a rectangular plot in a large field, using a straight rock wall that is already there as the north boundary. The fencing for the east and west sides of the plot will cost $3 a yard, but she needs to use special fencing, which will minimize the ...
*Thursday, April 24, 2014 at 10:24pm*

**CALCULUS **

A plane, flying horizontally at an altitude of 1 km and a speed of 500 km/hr, passes directly over a radar station. find the rate in km/hr at which the distance from the plane to the station is changing when it is 2 km away from the radar station. Hint: this is not a max/min ...
*Thursday, April 24, 2014 at 10:22pm*

**Calculus Help Please Urgent!!!**

At time t=0, an astronaut stands on a platform 3 meters above the moon's surface and throws a rock directly upward with an initial velocity of 32 m/sec. if the acceleration due to gravity is 1.6 m/sec^2. a) find the equations of motion for the throwing of this rock. b) how...
*Thursday, April 24, 2014 at 10:19pm*

**Calculus**

The velocity v (in m/s) of an object moving with acceleration a (in m/s^2) is given by v =ʃ a dt, where t is the time (in seconds). Find a formula for v, if a =(5/4t)(t^2+1)^2.
*Thursday, April 24, 2014 at 2:03pm*

**Calculus**

A real estate office manages 50 apartments in a downtown building. When the rent is $900 per month, all the units are occupied. For every $25 increase in rent, one unit becomes vacant. On average, all units require $75 in maintenance and repairs each month. How much rent ...
*Thursday, April 24, 2014 at 8:56am*

**Calculus**

1)A north south highway, intersects an east west highway, at point P. A vehicle process point P @ 1pm, traveling east at a constant speed of 60km/h. At the same instant another vehiclist 5km north of P, travelling south at 80km/h, find the time, when the 2 vehicles are closest...
*Thursday, April 24, 2014 at 8:53am*

**math, calculus**

1. Consider the region bounded by the curves y=|x^2+x-12|, x=-5, and x=5 and the x-axis. A. Set up a sum of integrals, not containing an absolute value symbol, that can be used to find the area of this region. B. Find the area of the region by using your answer from part A. ...
*Wednesday, April 23, 2014 at 11:36pm*

**Calculus **

a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2 using three rectangles and right endpoints. R3= ???? Then improve your estimate by using six rectangles. R6= ????? Sketch the curve and the approximating rectangles for R3. Sketch the curve and the ...
*Wednesday, April 23, 2014 at 4:30pm*

**calculus help**

Find f. f'(x) = 9/(square root of (1-x^2)) , f(1/2) = 1 f(x) = ??????
*Wednesday, April 23, 2014 at 4:08pm*

**calculus help**

A particle is moving with the given data. Find the position of the particle. a(t)= (t^2 - 5t +7) , s(0)=0 , s(1)=20 Thanks!
*Wednesday, April 23, 2014 at 4:05pm*

**Calculus**

Use u-substitute to compute the following: A) ∫((x)/((x^2)+5)) dx B) ∫((sin(ln(x)))/(x)) dx
*Tuesday, April 22, 2014 at 9:35pm*

**calculus help**

find the position function s(t) given acceleration a(t)=3t, if v(2)=0, and s(2)=1. the answer is s(t)=(t^3/2)-6t +9 but I don't know how to solve this. Can someone help me with this? Thank you!
*Tuesday, April 22, 2014 at 8:53pm*

**Calculus**

At 8:00am, ship A is 120km due east of ship B. Ship A is moving north at 20km/hr, and ship B is moving east at 25km/hr. How fast is the difference between the two ships changing at 8:30am?
*Tuesday, April 22, 2014 at 6:00pm*

**calculus**

x(t)=3t^3-40.5t^2+162t find where object is speeding up or slowing down
*Tuesday, April 22, 2014 at 4:01pm*

**statistics**

We guess, based on historical data, that 30% of graduating high-school seniors in a large city will have completed a first-year calculus course. What's the minimum sample size needed to construct a 95% confidence interval for a proportion with a margin of error of 2.5%?
*Tuesday, April 22, 2014 at 11:56am*

**calculus help**

Suppose that f'(x)= (2x^2-5x-12)/(3x^2-7x+2) and that f(x) is continuous for all real numbers x. a) Do a sign diagram to list the values of x where f(x) has local maximums and local minimums. In addition, list the intervals where f(x) is increasing and decreasing. b) Draw ...
*Monday, April 21, 2014 at 6:52pm*

**Calculus **

What is limit as x approaches 0 of x*(2^x)/((2^x)-1))
*Monday, April 21, 2014 at 12:27pm*

**Calculus **

Limit as x approaches (pi/2)^- of (x-pi/2)*secx
*Monday, April 21, 2014 at 12:26pm*

**Calculus**

Limit as x approaches 0 of x(1-cosx)/t-sinx. Confused on how to get this answer.
*Monday, April 21, 2014 at 12:25pm*

**Calculus **

Determine the behavior of limits A. Limit as x approaches 1 of: (log x)/((x-1)^2) B. Limit as x approaches infinity of: ((x-1)^2)/(log x))
*Monday, April 21, 2014 at 9:44am*

**Calculus **

Evaluate limit as x approaches 0 of: csc^2(7x)tan(2x^2)
*Monday, April 21, 2014 at 9:42am*

**calculus**

u have 7 different pass codes from a choice of 8 numbers how many possible outcomes are there
*Sunday, April 20, 2014 at 2:04pm*

**Calculus Help **

A high-speed bullet train accelerates and decelerates at the rate of 4 ft/s2. Its maximum cruising speed is 90 mi/h. (Round your answers to three decimal places.) (a) What is the maximum distance the train can travel if it accelerates from rest until it reaches its cruising ...
*Saturday, April 19, 2014 at 3:55pm*

**calculus help**

What constant acceleration is required to increase the speed of a car from 22 mi/h to 50 mi/h in 3 s? (Round your answer to two decimal places.)
*Saturday, April 19, 2014 at 3:42pm*

**calculus**

x^4 + 2x^2 + 1 = 0 (x^2)^2 +2x^2 +1 = 0 (x^2 + 1)^2 = 0 I don't know where to go now although I know the answer is x = i, -i
*Saturday, April 19, 2014 at 9:03am*

**calculus**

Let f x coth x . Use the Graph software posted in Moodle to do the following: (a) Graph f x . (b) Graph the tangent and normal lines to the graph of f x at x 1. (c) Graph f x . (d) ...
*Saturday, April 19, 2014 at 3:19am*

**Calculus Please Need Urgent3 :/**

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. F(x)= (s^2)/(1+3s^4)ds from sqrtx to 1 F'(x)=? Thank you so much guys!
*Saturday, April 19, 2014 at 12:39am*

**Calculus Please Need Urgent2 :/**

Consider the function f(x) whose second derivative is f''(x)=8x+4sin(x). If f(0)=3 and f'(0)=2, what is f(x)? f(x)=??
*Saturday, April 19, 2014 at 12:38am*

**Calculus Please Need Urgent :/**

Find the most general antiderivative of f(x)=–8e^x–6secant^2(x) where -pi/2<x<pi/2 Note: Any arbitrary constants used must be an upper-case "C". F(x)=?
*Saturday, April 19, 2014 at 12:37am*

**Calculus Help Please!**

If f(x)=Integral (t^3+6t^2+4)dt from 0 to x then f''(x)=?
*Saturday, April 19, 2014 at 12:34am*

**Calculus Help and Check**

1)Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative. Remember to use ln |u| where appropriate.) f(x) = (1/5)−(3/x) -----> (x/5)-3lnx+C 2)Find f. f ''(x) = 4 + 6x + ...
*Friday, April 18, 2014 at 10:47pm*

**Calculus Help Please Urgent!!!**

A piece of wire 14 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? 14 m this one I got right (b) How much wire should be used...
*Friday, April 18, 2014 at 6:57pm*

**Calc**

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. intergral s^2/(1+3s^4) ds from sqrtx to 1 F'(x)=?
*Friday, April 18, 2014 at 4:37am*

**Calculus**

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. intergral s^2/(1+3s^4) ds from sqrtx to 1 F'(x)=?
*Friday, April 18, 2014 at 4:34am*

**calculus**

A bug crawls along the graph of 2 y x x 4 1 , where x and y are positive and measured in centimeters. If the x-coordinate of the bug’s position x y, changes at a constant rate of 3 cm/min, how fast is the y-coordinate changing ...
*Friday, April 18, 2014 at 3:48am*

**calculus **

A person 150cm tall is walking away from a lamp post at the rate of 15 meter per minute. when the man is 2.5m from the lamp post, his shadow is 3m long. Find the rate at which the length of the shadow is increasing when he is 7m from the lamp post.
*Friday, April 18, 2014 at 1:09am*

**Calculus**

Given f(3)=4 and f'(3)=5, find g'(3), where g(x)=8x.f(x)
*Thursday, April 17, 2014 at 1:17pm*

**Calculus**

An open top box with a square base is to be made so that it holds 3 cubic feet. Assuming the material on the base costs $3 per square foot and the material on the sides costs $2 per square foot, determine the size of the base that minimizes the total cost.
*Wednesday, April 16, 2014 at 11:09pm*

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