Friday

April 25, 2014

April 25, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**calculus**

A paper cone is to be formed by starting with a disk of radius 9cm, cutting out a circular sector, and gluing the new edges together. The size of the circular sector is chosen to maximize the volume of the resulting cone. How tall is the cone?
*Thursday, April 25, 2013 at 9:37pm*

**calculus**

39x + 75y over the square root of 97 =650 how do I solve this?
*Thursday, April 25, 2013 at 7:28pm*

**calculus**

A paper cone is to be formed by starting with a disk of radius 9cm, cutting out a circular sector, and gluing the new edges together. The size of the circular sector is chosen to maximize the volume of the resulting cone. How tall is the cone?
*Thursday, April 25, 2013 at 6:54pm*

**calculus**

Consider the region above the graph of y=x^2 and below the graph of y=x+2. What is the area of this region?
*Thursday, April 25, 2013 at 6:12pm*

**Calculus**

A company manufactures widgets. The daily marginal cost to produce x widgets is found to be C'(x) = 0.000009x^2 - 0.009x + 8 (measured in dollars per unit). The daily fixed costs are found to be $120. a. Use this information to get a general cost function for producing ...
*Thursday, April 25, 2013 at 12:30pm*

**Calculus**

U substitution on indefinite integral/antiderivative. (t^3+4)^-2 t^2 On this should I use u on the parenthesis and should I put this into a natural log?
*Thursday, April 25, 2013 at 11:19am*

**Maths Calculus**

We want to build a rectangular cardboard box with no top and of given volume V using the least quantity of cardboard. Find the length of the box's edges by fnding the minimum of the total surface function. Verify that the point you found is indeed a minimum applying the ...
*Thursday, April 25, 2013 at 10:31am*

**Calculus**

Find the limit as x approaches infinity of (lnx)^(1/x). This unit is on L'Hopital's rule. I know that the answer is 1, I just don't know how to get there. I tried taking the ln of everything so that you have ln(the whole limit) = limx-->infinity (1/x)ln(lnx) but...
*Thursday, April 25, 2013 at 12:01am*

**Calculus**

Part I The change in annual revenue in thousands of dollars for the Ozark Zip Line Corporation has been modeled by the function. R(x) = 8.2x^2 + 23.1x where x is the number of years after 2000. To find the total revenue gained between the years 2002 and 2005, start by choosing...
*Wednesday, April 24, 2013 at 11:36pm*

**pre calculus**

Environmental Concerns: The spread of oil leaking from a tanker is in the shape of a circle. If the radius r (in feet) of the spread after t hours is r(t) = 200sqrt t, find the area A of the oil slick as a function of the time t. I dont get this at all. could someone please ...
*Wednesday, April 24, 2013 at 10:37pm*

**pre calculus**

Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane. F(x)= ln(8-x) I am totally lost, somebody please help????
*Wednesday, April 24, 2013 at 10:36pm*

**Solved-Calculus-Please check?**

the equatorial radius of the earth is approximately 3960 miles. suppose a wire is wrapped tightly around the earth at the equator. how much must this wire be lengthened if it is to be strung on 10 feet poles above the ground? (1 mile=5280 feet) delta y= dy/dx (2pir) * deltax ...
*Wednesday, April 24, 2013 at 2:20pm*

**CALCULUS-GUYS..PLEASE HELP...THIS DUE TOMORROW..**

An automobile travels at a constant speed around a curve whose radius of curvature is 2000m. What is the maximum allowable speed if the maximum acceptable value for the normal scalar component of acceleration is 1.5m/s^2?
*Wednesday, April 24, 2013 at 11:49am*

**Calculus**

Part I The change in annual revenue in thousands of dollars for the Ozark Zip Line Corporation has been modeled by the function. R(x) = 8.2x^2 + 23.1x where x is the number of years after 2000. To find the total revenue gained between the years 2002 and 2005, start by choosing...
*Wednesday, April 24, 2013 at 11:41am*

**calculus**

An automobile travels at a constant speed around a curve whose radius of curvature is 2000m. What is the maximum allowable speed if the maximum acceptable value for the normal scalar component of acceleration is 1.5m/s squared?
*Wednesday, April 24, 2013 at 11:38am*

**Pre-Calculus**

Simplify arctan 1/3 + arctan 2/3(round to the nearest degree).
*Wednesday, April 24, 2013 at 10:59am*

**calculus**

3) A shell is fired from ground level with a muzzle speed of 350 ft / s and elevation and angle of 60 . Find (a) parametric equation for the shell’s trajectory (b) the maximum height reached by the shell (c) the horizontal distance traveled by the shell (d) the speed of ...
*Wednesday, April 24, 2013 at 12:12am*

**CALCULUS**

Let the line l0 be defined by x = 1−t, y = 2+3t, z = 1−2t. Determine whether each given line intersects l0. If it does, give the intersection point. l1 :x=2+t, y=5−2t, z=1+3t l2 :x=6+2t, y=1+t, z=5+t
*Wednesday, April 24, 2013 at 12:08am*

**calculus**

the telephone company is planning to introduce two new types of executive communications systems that it hopes to sell to its largest commercial customers. It is estimated that if the first type of system is priced at x hundred dollars per system and the second type at y ...
*Tuesday, April 23, 2013 at 10:14pm*

**calculus**

The radius of a cone increases at the rate of 0.3 inches per minute, but the volume remains constant. At what rate does the height of the cone change when the radius Is 4 inches and the height is 15 inches?
*Tuesday, April 23, 2013 at 9:45pm*

**calculus**

Consider the region above the graph of y=x^2 and below the graph of y=x+2. What is the area of this region?
*Tuesday, April 23, 2013 at 7:45pm*

**calculus**

A paper cone is to be formed by starting with a disk of radius 9cm, cutting out a circular sector, and gluing the new edges together. The size of the circular sector is chosen to maximize the volume of the resulting cone. How tall is the cone?
*Tuesday, April 23, 2013 at 7:21pm*

**Pre Calculus**

Use a calculator to evaluate csc 3ð/14 A. 1.604 B. 1.279 C. 47.686 D. 42.314 E. .739
*Tuesday, April 23, 2013 at 4:20pm*

**Calculus-Differentials-Check please?**

if the sides of a cube are measured with an error of 2% use differentials to estimate the relative error in the volume df= 3x^2 * dx df= 3x^2 * 1/50 df= 3/50*x^2 is this right?
*Tuesday, April 23, 2013 at 4:09pm*

**Calculus-Solved-Please Check?**

estimate cube root of 25 by linear approximation f(x+delta(x))= f(x) + (df(x)/x) * deltax 3 + 1/3x^(-2/3) * -2 3 - 2/3x^(-2/3) 3 - (2/3* ((cube root(9))) is this right? thanks
*Tuesday, April 23, 2013 at 3:55pm*

**Calculus**

Find the first and second derivative for f(x) = x^2 - 9 / X^2 -4 please show me how you got the answer for both
*Tuesday, April 23, 2013 at 2:00pm*

**Calculus**

Find the relative extrema of the function f(x) = 1/2 x - sinx on the interval (0, 2 pie) please show me how you got this!!
*Tuesday, April 23, 2013 at 1:59pm*

**calculus**

Let A be the region in the plane consisting of those points (x,y) such that 0≤y≤1−x^2. Rotate A around the x-axis in space. What is the volume of the resulting solid?
*Tuesday, April 23, 2013 at 12:25am*

**Pre-Calculus**

Could someone check my answers? 27. (16/9)^2/3 = 64/27 28. (49/25)^3/2 = 343/125 31. (-64)^2/3 = 8 32. (-8)^-4/3 = 1/16 or -1/16
*Monday, April 22, 2013 at 10:55pm*

**pre calculus**

what is 36.1 and 50.8 rounded to three decimal places? I was never really good at this stuff....please help!
*Monday, April 22, 2013 at 10:35pm*

**Per Calculus**

An apple pie has a 12 inch diameter and the angle of one slice is 60 degrees. What is the area of that slice of pie? Use 3.14 for A. 14.13 square inches B. 75.36 square inches C. 36 square inches D. 18.84 square inches E. 0.52 square inches
*Monday, April 22, 2013 at 9:43pm*

**Pre Calculus**

If you are riding on a Ferris wheel that is 60 feet tall and it takes 5 minutes to make a one revolution, what is your linear velocity? A. 0.62 feet per second B. 0.31 feet per second C. 37.68 feet per second D. 3.14 feet per second E. 9.42 feet per second
*Monday, April 22, 2013 at 9:35pm*

**Per Calculus**

A surveyor is standing 50 feet from the base of a building. The angle of elevation to the top of the building is 60 degrees. Approximately how tall is the building?
*Monday, April 22, 2013 at 9:12pm*

**Pre Calculus **

If you are riding on a Ferris wheel that is 60 feet tall and it takes 5 minutes to make a one revolution, what is your linear velocity?
*Monday, April 22, 2013 at 8:52pm*

**calculus**

Let f(x)=3x^2+x+3/2x+1. What is the derivative of f with respect to x
*Monday, April 22, 2013 at 6:34pm*

**Calculus**

Part I The change in annual revenue in thousands of dollars for the Ozark Zip Line Corporation has been modeled by the function. R(x) = 8.2x^2 + 23.1x where x is the number of years after 2000. To find the total revenue gained between the years 2002 and 2005, start by choosing...
*Monday, April 22, 2013 at 5:09pm*

**calculus**

the function s(t)=(t^2+t)^2/3, t>0, represents the displacement s, in metres, of a particle moving along a straight line after t seconds
*Monday, April 22, 2013 at 7:49am*

**calculus**

limx→4 4x^2−15x−4/x−4.
*Sunday, April 21, 2013 at 10:40pm*

**Calculus**

Graph the parametric equations: x=cos(t) y=sin(t) z=cos(2t) How would I go about solving this problem? thanks!
*Sunday, April 21, 2013 at 10:21pm*

**Calculus**

Find the area of the region. f(x) = x^3 g(x) = x^4 In the graph f is above g and they both intersect at (1,1)
*Sunday, April 21, 2013 at 10:19pm*

**Calculus**

Graph the parametric equations: x=cos(t) y=sin(t) z=cos(2t) How would I go about solving this problem? thanks!
*Sunday, April 21, 2013 at 9:52pm*

**Calculus**

Find the derivative of f(x)=ln(e^(2x)/((x^2-4)^3) Please show detail so I can use for reference. Thanks!
*Sunday, April 21, 2013 at 5:24pm*

**Calculus**

A University of Rochester student decided to depart from Earth after his graduation to find work on Mars. Before building a shuttle, he conducted careful calculations. A model for the velocity of the shuttle, from liftoff at t = 0 s until the solid rocket boosters were ...
*Sunday, April 21, 2013 at 2:19pm*

**Calculus**

Find the exact area below the curve y=x^3(4-x)and above the x-axis
*Sunday, April 21, 2013 at 1:41pm*

**Calculus**

Use logarithmic differentiation to find the derivative of the following: y=x^x^2 x>0 Please show all steps so I can following for future understanding
*Sunday, April 21, 2013 at 10:57am*

**Calculus**

Use logarithmic differentiation to find the following derivative y=(x+6)^4/(x-5)^6. Please show all steps so I can follow for future understanding. Thanks.
*Sunday, April 21, 2013 at 10:55am*

**Calculus**

Find the derivative of the following: f(x)=ln(e^(2x)/(x^2-4)^3 Please show all steps so I can follow Thanks!
*Sunday, April 21, 2013 at 10:53am*

**Calculus**

Use logarithmic differentiation to find derivative of y=x^x^2 x > 0. Please show all steps so I can follow the steps. Thank you.!
*Saturday, April 20, 2013 at 9:45pm*

**Calculus**

Consider the function f(x) e^x-1/2x^2. Find all points of inflection if they exist. Please show sign graph and show work in detail so I can follow for future reference. Thanks.
*Saturday, April 20, 2013 at 9:44pm*

**Calculus**

Consider the function f(x) = x - lnx. Find the intervals on which f(x) is increasing and the intervals where it is decreasing. Also determine any relative max or min.
*Saturday, April 20, 2013 at 9:43pm*

**Calculus**

Consider the function f(x)=xe^2x. Find the intervals on which f(x) is concave up and the intervals where it is concave down. Show a sign graph. Please show work in detail so I can follow for future reference. Thanks!
*Saturday, April 20, 2013 at 9:42pm*

**calculus**

Use logarithmic differentiation to find the following derivative: y=(x+6)^4/(x-5)^6. Please show all step so I can understand for future reference.
*Saturday, April 20, 2013 at 9:39pm*

**calculus**

the demand for a certain type of auto tire is given by x=f(p) 50(1+e^-p/60). a)if the weekly quantity demanded is 60000 tires find the price? b)if the current price is $120 per tire and is increasing at a rate of $2 per week, what is the rate of change of the demand per week? ...
*Saturday, April 20, 2013 at 9:15pm*

**calculus**

If x=t^3 and y=3t^5, where t is any real number, what is the derivative of y with respect to x at x=125 ?
*Saturday, April 20, 2013 at 2:42pm*

**Calculus**

find an equation of the tanegent line to the curve 3xsquared + 5ysquared=8 at the point (1,1)
*Saturday, April 20, 2013 at 2:00pm*

**calculus**

6. The forward motion of a space shuttle, t seconds after touchdown, is described by s(t) = 189t − t^3, where " is measured in metres. a) What is the velocity of the shuttle at touchdown? b) How much time is required for the shuttle to stop completely? c) ...
*Saturday, April 20, 2013 at 9:32am*

**Grade 12 Calculus **

Evaluate each of the following. Show all your calculations. f" (0) if f(x) = 14x^2 + 3x − 6
*Friday, April 19, 2013 at 6:13pm*

**Grade 12 Calculus **

Evaluate each of the following. Show all your calculations. f" (1/3) if f(x) = −2x^5 + 2x − 6
*Friday, April 19, 2013 at 6:12pm*

**calculus**

Evaluate each of the following. Show all your calculations. f" (−3) if f(x) = 4x^3 − 3x^2 + 2x − 6
*Friday, April 19, 2013 at 6:11pm*

**calculus (gr 12)**

Evaluate each of the following. Show all your calculations. f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8
*Friday, April 19, 2013 at 6:11pm*

**calculus**

Evaluate each of the following. Show all your calculations. f'(3) if f(x) = x^4 − 3x
*Friday, April 19, 2013 at 6:10pm*

**calculus (gr 12)**

The forward motion of a space shuttle, t seconds after touchdown, is described by s(t) = 189t − t^3, where " is measured in metres. a) What is the velocity of the shuttle at touchdown? b) How much time is required for the shuttle to stop completely? c) How ...
*Friday, April 19, 2013 at 6:06pm*

**Pre-Calculus**

As Rita drives north on Highway 281 through San Antonio, her actual bearing is 311 degrees. If she is driving at 50mph what is her velocity in the east- west direction?
*Thursday, April 18, 2013 at 10:10pm*

**calculus**

Evaluate each of the following. Show all your calculations. f′ (3/4)if f(x) = −3x^3 − 7x^2 + 4x − 11
*Thursday, April 18, 2013 at 7:10pm*

**calculus (gr 12)**

Evaluate each of the following. Show all your calculations. f" (−3) if f(x) = 4x^3 − 3x^2 + 2x − 6
*Thursday, April 18, 2013 at 7:09pm*

**calculus (gr 12)**

Evaluate each of the following. Show all your calculations. f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8
*Thursday, April 18, 2013 at 7:09pm*

**calculus**

Evaluate each of the following. Show all your calculations. f" (1/3) if f(x) = −2x^5 + 2x − 6
*Thursday, April 18, 2013 at 7:08pm*

**Grade 12 Calculus **

The forward motion of a space shuttle, t seconds after touchdown, is described by s(t) = 189t − t^3, where " is measured in metres. a) What is the velocity of the shuttle at touchdown? b) How much time is required for the shuttle to stop completely? c) How ...
*Thursday, April 18, 2013 at 7:03pm*

**Grade 12 Calculus **

Determine the absolute extrema of each function on the given interval. Illustrate your results by sketching the graph of each function. f(x) = (x − 1)^2 , 0 ≤ x ≤ 2
*Thursday, April 18, 2013 at 7:01pm*

**calculus (gr 12)**

Determine the maximum and minimum of each function on the given interval. f(x) = 12x − x^3 , x∈ [−3,5]
*Thursday, April 18, 2013 at 6:56pm*

**calculus**

find the sum. use the summation capabilities of a graphing utility to verify your result. 5 Sigma (3a) k=2 ??
*Thursday, April 18, 2013 at 1:18pm*

**Calculus**

Sketch the graph and find the area of the region described below. f(x)= -3xe^((-x)^2) Find the area of the region bounded below by the graph of f(x) and above by the x-axis from x = 0 to x = 3.
*Thursday, April 18, 2013 at 9:30am*

**Calculus**

Find the area of the shaded region. The area is shaded from 0,2 on the x-axis Given: y=0 and y= x^4-2x^3
*Thursday, April 18, 2013 at 9:28am*

**Calculus**

Estimate ç 6 0 6−x^2 dx using 3 right rectangles
*Thursday, April 18, 2013 at 8:04am*

**Calculus**

Estimate ç 6 0 6−x^2 dx using 3 left rectangles.
*Thursday, April 18, 2013 at 8:04am*

**Calculus**

find the area of the region described below. f(x)= -e^((1/2)x) Find the area of the region bounded below by the graph of f(x) and above by the x-axis from x = -4 to x = 4.
*Wednesday, April 17, 2013 at 11:11pm*

**Calculus**

find the area of the region described below. f(x)=-4-sq rt of x Find the area of the region bounded below by the graph of f(x) and above by the x-axis from x = 0 to x = 4. Thank you!
*Wednesday, April 17, 2013 at 11:02pm*

**calculus (gr 12)**

State the absolute maximum value and the absolute minimum value of each function, if the function is defined on the interval shown. {I CANNOT POST THE GRAPH SO CAN SOMEONE EMAll ME AT miss.a.parker at hot mail(. com) SO I CAN EMAIL IT TO THEM SO YOU CAN HELP ME? I WOULD LOVE ...
*Wednesday, April 17, 2013 at 9:45pm*

**calculus (gr 12)**

The forward motion of a space shuttle, t seconds after touchdown, is described by s(t) = 189t − t^3, where " is measured in metres. a) What is the velocity of the shuttle at touchdown? b) How much time is required for the shuttle to stop completely? c) How ...
*Wednesday, April 17, 2013 at 9:45pm*

**Grade 12 Calculus **

Determine the absolute extrema of each function on the given interval. Illustrate your results by sketching the graph of each function. a) f(x) = x^2 − 4x + 3 , 0 ≤ x ≤ 3 b) f(x) = (x − 1)^2&#...
*Wednesday, April 17, 2013 at 9:44pm*

**calculus (gr 12)**

Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives of the distance)
*Wednesday, April 17, 2013 at 9:43pm*

**calculus**

Evaluate each of the following. Show all your calculations. f" (1/3) if f(x) = −2x^5 + 2x − 6
*Wednesday, April 17, 2013 at 9:41pm*

**calculus**

Evaluate each of the following. Show all your calculations. f" (1/3) if f(x) = −2x^5 + 2x − 6
*Wednesday, April 17, 2013 at 9:40pm*

**calculus**

Evaluate each of the following. Show all your calculations. f" (−3) if f(x) = 4x^3 − 3x^2 + 2x − 6
*Wednesday, April 17, 2013 at 9:39pm*

**calculus (gr 12)**

Evaluate each of the following. Show all your calculations. f′ (3/4)if f(x) = −3x^3 − 7x^2 + 4x − 11
*Wednesday, April 17, 2013 at 9:39pm*

**calculus (gr 12)**

Evaluate each of the following. Show all your calculations. f" (1) if f(X) = −3x^2 − 5x + 7
*Wednesday, April 17, 2013 at 9:34pm*

**calculus (gr 12)**

Evaluate each of the following. Show all your calculations. f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8
*Wednesday, April 17, 2013 at 9:33pm*

**calculus (gr 12)**

Evaluate each of the following. Show all your calculations. f'(3) if f(x) = x^4 − 3x
*Wednesday, April 17, 2013 at 9:22pm*

**Calculus**

A popular search engine is targeting European countries where the number of online households is expected to grow at a steady rate. Data was taken over time, and it was found that the number of online houses (in millions) projected can be modeled by the following function: N(t...
*Wednesday, April 17, 2013 at 8:13pm*

**Calculus**

Light is absorbed when it passes through a glass window. If r% of light is absorbed by a glass with thickness w , then the percent of light that is absorbed by a piece of glass with a thickness nw of for any natural number n is modeled by the following function: A(n) = 100 [1...
*Wednesday, April 17, 2013 at 5:55pm*

**Calculus**

Use the Evaluation Theorem to find the exact value of the integral ç 7 1 1/5x(dx)
*Wednesday, April 17, 2013 at 5:52pm*

**Calculus**

Use the Evaluation Theorem to find the exact value of the integral ç from 1/2 to 0 (a/ã(1−x^2)dx. The answer should involve the parameter a.
*Wednesday, April 17, 2013 at 5:50pm*

**Calculus**

An animal population is increasing at a rate of 150+20t animals per year. By how much does the animal population increase between year 5 and year 8?
*Wednesday, April 17, 2013 at 5:46pm*

**Calculus**

A popular search engine is targeting European countries where the number of online households is expected to grow at a steady rate. Data was taken over time, and it was found that the number of online houses (in millions) projected can be modeled by the following function: N(t...
*Wednesday, April 17, 2013 at 11:06am*

**Calculus**

Light is absorbed when it passes through a glass window. If r% of light is absorbed by a glass with thickness w , then the percent of light that is absorbed by a piece of glass with a thickness nw of for any natural number n is modeled by the following function: A(n) = 100 [1...
*Wednesday, April 17, 2013 at 11:04am*

**Calculus**

Find the equation of the tangent line to the curve at the given value of t: x=sin(t); y=(cos(t))^2; t=(pi/3)
*Tuesday, April 16, 2013 at 10:42pm*

**Calculus**

Find the arc length of the curve described by the parametric equation over the given interval: x=t^(2) + 1 y=2t - 3 0<t<1
*Tuesday, April 16, 2013 at 10:18pm*

**Calculus**

∫3 at top and 2 at bottom x/x^2+1 dx = ? if you could show steps that would be great thanks
*Tuesday, April 16, 2013 at 10:08pm*

**calculus (gr 12)**

Evaluate each of the following. Show all your calculations. a) f'(3) if f(x) = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (&#...
*Tuesday, April 16, 2013 at 9:55pm*

**Calculus**

On what intervals of t is the curve described by the given parametric equation concave up? Concave down? x=t^2; y=t^(3)+3t
*Tuesday, April 16, 2013 at 9:31pm*

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