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January 26, 2015

January 26, 2015

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Calculus**

HELP....last question SOS HELP Consider the statement lim X-->1 X©ø-6X©÷+11X-6 / x-1 = 2 USING THE DEFINITIONS OF THE LIMIT STATE WHAT MUST BE TRUE FOR THE ABOVE LIMIT TO HOLD, THAT IS, FOR EVERY ¡¦, THERE IS ..., SO THAT¡¦...
*Wednesday, May 7, 2014 at 8:51pm*

**Calculus, Riemann **

IF ANYONE CAN PLEAAAASEEEE HELP ME Use the Riemann sum definition of the definite integral to show that b 3 ¡ò x©÷dx - b©ø -a©ø a Here, for simplicity, we assume b > a > 0. Be sure to clearly specify your mesh/grid xi, , ...
*Wednesday, May 7, 2014 at 8:27pm*

**calculus**

Find the interval of convergence of the series. ∑(sinx/10)^n
*Wednesday, May 7, 2014 at 7:34pm*

**Calculus**

How much should be deposited into an account today if it is to accumulate to $32400 in 30 years if the account bears interest at 8.01% compounded monthly? I did A = 32400(1 + 0.0801/12)^(12*30) = $355,375, but that's wrong...
*Wednesday, May 7, 2014 at 5:35pm*

**calculus help**

Find the derivative of the function. y = integral from cosx to sinx (ln(8+3v)) dv lower limit = cosx upper limit = sinx y'(x) = ????
*Wednesday, May 7, 2014 at 4:48pm*

**Calculus Help Please Urgent!!!**

Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. integral from o to pi/2 (2cos^3(x))dx , n = 4 M4 = ?????? Thanks!!!
*Wednesday, May 7, 2014 at 4:43pm*

**Calculus (lim)**

consider the statement lim x³-6x²+11x-6 / x-1 = 2 x->1 Using the definition of the limit, state what must be true for the above limit to hold, that is, for every ..., there is ..., so that.... Use a specific function and limit not just f and L. Verify the ...
*Wednesday, May 7, 2014 at 1:25pm*

**Calculus Riemann sum definition etc**

I am totally stumped... PLEASE if anyone can help we are going nuts...lol Use the Rieman sum definition of the definite integral to show that 3¡ò(there is a little "b" at top and little "a" at bottom 3¡ò x©÷dx = b©...
*Wednesday, May 7, 2014 at 1:06pm*

**Calculus**

SOS...help!!! please email me at 969e221 at g mail. com here is the question: Find the trapezoid of largest area that can be inscribed in the upper half of the ellipse x2/9 + y2/4 = 1 where the lower base of the trapezoid is on the x-axis and is 6 units long. I need to graph ...
*Wednesday, May 7, 2014 at 12:02pm*

**Math (Quadratic Equations)**

A field is bound on one side by a river. A farmer wants to enclose the other three sides of the field with fence in order to create a rectangular plot of land for his cows. If the farmer has 400m of fence to work with, determine the maximum possible area of the field and the ...
*Wednesday, May 7, 2014 at 11:40am*

**calculus**

Determine whether the given series converges or diverges, and find the sum if it converges. I dont understand, help!! Thnx! 1) 20+5+(5/4)+(5/16)+...
*Wednesday, May 7, 2014 at 1:13am*

**calculus**

Compute the limit of the partial sums to determine whether the series converges or diverges. 1)6 + 4 - 4 + 4 - 4 + 4 - 4 +...
*Wednesday, May 7, 2014 at 1:10am*

**Calculus **

The region R is bounded by the x-axis, x = 1, x = 3, and y = 1/x^3 A) Find the area of R B) B. Find the value of h, such that the vertical line x = h divides the region R into two Regions of equal area.
*Tuesday, May 6, 2014 at 3:22pm*

**Calculus**

Poli 761 (a fictitious substance) decays by about 7% every day. How much of a 88 pound sample remains after 9 days?
*Tuesday, May 6, 2014 at 2:22pm*

**calculus help**

Evaluate integral from -10 to 10 of ((2e^x)/(sinhx+coshx)dt) Show steps please Thanks!
*Tuesday, May 6, 2014 at 11:42am*

**calculus help**

find derivative of integral( t sint dt) upper limit 1+2x, lower limit 1-2x Show step by step please! Thank you
*Tuesday, May 6, 2014 at 11:37am*

**Calculus **

Can someone check my answer? The change in the momentum of an object (Δ p) is given by the force, F, acting on the object multiplied by the time interval that the force was acting: Δ p = F Δt . If the force (in newtons) acting on a particular object is given by ...
*Monday, May 5, 2014 at 1:47pm*

**pre calculus**

a gun with a muzzle velocity of 1200 feet per second is fired at an angle of 6 degrees above the horizontal. find the component form of a vector. verify the magnitude
*Monday, May 5, 2014 at 10:58am*

**Calculus**

Why does 2ln6 - 2ln3 = ln4?
*Monday, May 5, 2014 at 12:28am*

**Ethics in Criminal Justice**

Which of the following, according to Carl Klockars, is NOT an important consideration in determining whether the good ends of police work justify immoral means in a given scenario? A. Are there other, non-dirty, means that may be effective but that we may be overlooking? B. ...
*Sunday, May 4, 2014 at 12:16pm*

**Calculus Help **

Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure) with radii br and aR. (Let a = 6 and b = 4.) By interpreting the integral as an area, find the volume V of the torus.
*Saturday, May 3, 2014 at 10:23pm*

**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*

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