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July 30, 2014

July 30, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Pre-Calculus**

Find the value of the parameter: x = 3t y = t^2 + 5 t = 2
*Sunday, October 20, 2013 at 12:33pm*

**Physics**

I have a hw problem that I know involves calculus, but I'm stumped. The number density of photons left over from the Big Bang has an energy dependence of the form n(E)=(E^2)/e^(E/T)−1, where E is the energy of the photon and T is the temperature of this relic ...
*Sunday, October 20, 2013 at 1:34am*

**Pre-Calculus**

Determine the derivative at the point (2,−43) on the curve given by f(x)=7−7x−9x^2. I know that the answer is -43, but I was wondering if it was just a coincidence that the derivative at the point (2,−43) is -43, or is there a reason why -43 is the same...
*Saturday, October 19, 2013 at 10:37pm*

**Calculus**

A cable hangs between two poles of equal height and 40 feet apart. At a point on the ground directly under the cable and x feet from the point on the ground halfway between the poles the height of the cable in feet is h(x)=10+(0.4)(x^1.5). The cable weighs 18.2 pounds per ...
*Saturday, October 19, 2013 at 2:17pm*

**Pre-Calculus**

f(x)= 3+5cos pi/3 (x-7) If f(x)=4, solve for x. Find 1st 3 positive values. my answers: 2.31, 5.69, 8.31
*Friday, October 18, 2013 at 8:32pm*

**PRE CALCULUS**

find exact values for the number of radians for an arc of 4pi/3 on a unit circle is the answer 4pi/3???
*Friday, October 18, 2013 at 7:26pm*

**Pre-Calculus**

Let f(x) be the function 1/(x+9). Then the quotient [f(5+h)−f(5)]/h can be simplified to −1/(ah+b). What does a and b equal to? So I understand the overall concept, and did f(5+h) = 1/(14+h) and f(5) = 1/14. Then to subtract the two, you get the common denominator ...
*Friday, October 18, 2013 at 7:17pm*

**Calculus**

If f'(x) = 2xln(-4(x^2-2.75))+(2x^3)/(x^2-2.75) find the domain.
*Thursday, October 17, 2013 at 12:27pm*

**calculus**

lim t-> -infinity for sqrt(4t^2-5t-1)/(2t-3) I get infinity or -infinity, but the real answer is -1. How does this occur?
*Wednesday, October 16, 2013 at 11:07pm*

**Calculus Homework**

You are blowing air into a spherical balloon at a rate of 7 cubic inches per second. The goal of this problem is to answer the following question: What is the rate of change of the surface area of the balloon at time t= 1 second, given that the balloon has a radius of 3 ...
*Wednesday, October 16, 2013 at 10:49pm*

**calculus**

The question is: tan(arcsinx)= I know that inverse of sin is 1/sqrt(1-x^2) however this question still confuses me. The outcome is x/sqrt(1-x^2), how did the tan create the additional x ?
*Wednesday, October 16, 2013 at 10:08pm*

**calculus**

f(x) = ln(ln(lnx)) has the domain of (e, infinity). I am not sure how this occurs however. I know in the case of ln x, x must be greater than 0. However where does e come from. e is the base of log in the case of ln, but something is just not clicking for me.
*Wednesday, October 16, 2013 at 9:56pm*

**calculus**

The question is: tan(arcsinx)= I know that inverse of sin is 1/sqrt(1-x^2) however this question still confuses me. The outcome is x/sqrt(1-x^2), how did the tan create the additional x ?
*Wednesday, October 16, 2013 at 9:45pm*

**Calculus Practice Problems**

A filter filled with liquid is in the shape of a vertex-down cone with a height of 12 inches and a diameter of 18 inches at its open (upper) end. If the liquid drips out the bottom of the filter at the constant rate of 3 cubic inches per second, how fast is the level of the ...
*Wednesday, October 16, 2013 at 7:53pm*

**Theoretical Calculus**

I have too much swag
*Wednesday, October 16, 2013 at 6:08pm*

**Calculus Practice Problems**

A boat is pulled into a dock by a rope attached to the bow (front end) of the boat and passing through a pulley on the dock that is 4 m higher than the bow of the boat. If the rope is pulled in at a rate of 3 m/s, at what speed is the boat approaching the dock when it is 8 m ...
*Wednesday, October 16, 2013 at 5:50pm*

**Homework Help Calculus**

Find the linear approximation L(x)of the function f(x)=cos(pi/(6)x) at the point x=1 and use it to estimate the value of cos(13pi/72). Here's what I did so far: L(x)=sqrt(3)/2-1/12pi(x-1)+0((x-1)^2) How do I find cos(13pi/72)
*Wednesday, October 16, 2013 at 4:19pm*

**Homework Help Calculus**

Find the linear approximation L(x) to the function f(x)=2x^(-2) at the point, x=4 and use it to estimate the value of f(39/10). I already found L(x: L(x):(1/8)-(x-4)/16+0((x-4)^2) How do you find f(39/10)?
*Wednesday, October 16, 2013 at 4:15pm*

**calc**

The cost of producing d hundred plastic toy dinosaurs per day in a small company is C(d) = 120 + 30d + 1 8d4 dollars. This company is currently producing 500 di- nosaurs each day. Using calculus, estimate how much the company should change the production to make their daily ...
*Wednesday, October 16, 2013 at 12:15pm*

**Calculus Practice Problems**

The height of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 square cm/min. At what rate is the base of the triangle changing when the height is 7 centimeters and the area is 91 square centimeters?
*Tuesday, October 15, 2013 at 10:45pm*

**Calculus Homework**

Let A(t) be the (changing) area of a circle with radius r(t), in feet, at any time t in min. If the radius is changing at the rate of dr/dt =3ft/min, find the rate of change of the area(dA/dt) at the moment in time when r = 16 ft dA/dt=
*Tuesday, October 15, 2013 at 9:54pm*

**Calculus Homework**

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.01cm thick to a hemispherical dome with a radius of 18 meters.
*Tuesday, October 15, 2013 at 9:35pm*

**Homework Help Calculus**

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 1/100cm thick to a hemispherical dome with a radius of 18 meters. I tried it but I keep getting the wrong answer.Here's what I did below: sphere: V = ⁴/&#...
*Tuesday, October 15, 2013 at 6:06pm*

**Practice Exam Calculus **

The radius of a sphere was measured to be 20cm with a a possible error of 1/5cm 1).Use linear approximation to estimate the maximum error in the calculated surface area. Leave your answer in terms of pi. 2).Use linear approximation to estimate the maximum error in the ...
*Tuesday, October 15, 2013 at 5:58pm*

**Calculus I**

If y^3 + y^2 = 7x^2 + 224 and y(2) = 6 then y'(2)= [???]
*Tuesday, October 15, 2013 at 11:50am*

**Calculus**

I need step-by-step help for solving the lim x -> 0 for the function sin(x)/(x + tan(x)) I can do simpler ones, but this one throws me off. Thanks.
*Monday, October 14, 2013 at 11:56pm*

**Pre-Calculus**

The Hotel Ventor has 400 rooms. Currently the hotel is filled. The daily rental is $ 600 per room. For every $6 increase in rent the demand for rooms decreases by 7 rooms. Let x = the number of $ 6 increases that can be made. What should x be so as to maximize the revenue of ...
*Monday, October 14, 2013 at 11:33pm*

**Calculus**

Suppose f(x) = 3x + 4. What is f^-1(x) and what is (f^-1)'(x).
*Monday, October 14, 2013 at 6:45pm*

**Calculus**

Find the derivative of the function. g(x) = (e^x)/(3 + 3x)
*Monday, October 14, 2013 at 6:22pm*

**Pre-Calculus**

It has been found that the supply of golf clubs varies linearly with its price. When the price per item was $ 76.00 ,32 items are supplied; When the price was $ 90.25 , 70 items are supplied. What is the lowest price above which golf clubs will be supplied ? So I know the ...
*Monday, October 14, 2013 at 5:57pm*

**Calculus**

"The graph of y = g(t) is provided below. Based on the graph, where is ln(g(x)) continuous?" I did not include the graph but I would like to know in what ways does ln effect the continuity of a graph. Thanks.
*Monday, October 14, 2013 at 4:25pm*

**Calculus**

Evaluate the following limit. lim e^(tanx) as x approaches the righter limit of (pi/2)
*Monday, October 14, 2013 at 3:51pm*

**Calculus**

find dy/dx for the following function. y = ln((7x - 15)/(x(x^2 + 1)^(1/7))
*Monday, October 14, 2013 at 3:49pm*

**Calculus**

If g(x) = 3 + x + e^x, find g^-1(4).
*Monday, October 14, 2013 at 3:12pm*

**Calculus**

Find a formula for the inverse of the function. f(x) = (1 + 9x) / (8 - 4x)
*Monday, October 14, 2013 at 3:06pm*

**Calculus**

Find the derivative of the function y, below. It may be to your advantage to simplify before differentiating. y = 8x(ln(x)+ln(2))-4x+pi
*Monday, October 14, 2013 at 2:50pm*

**calculus **

relative maxima and relative minima 2x^2+ 4000/x +10
*Sunday, October 13, 2013 at 11:53pm*

**Calculus**

Find the critical numbers of the function. h(t)=t^3/4-6^1/4
*Sunday, October 13, 2013 at 11:33pm*

**Pre-Calculus**

Express tan(t) in terms of cos(t), where t is in Quadrant 3
*Sunday, October 13, 2013 at 2:22pm*

**Pre-Calculus**

Write sec in terms of sin. Theta is in the third Quadrant.
*Sunday, October 13, 2013 at 1:22pm*

**Brief Calculus**

if s''(t)=((-)1/4t^3/2) +8 Then what is s''(16)?
*Friday, October 11, 2013 at 1:33pm*

**Calculus - please help!**

How do you do this? Find the volume generated by revolving the area bounded by the ellipse(x^2)/9 + (y^2)/4 = 1 about the line x=3.
*Friday, October 11, 2013 at 12:02pm*

**Calculus**

Solve: dy = [2+(y-2x+3)^0.5]dx The answer in the book is 4(y - 2x + 3) = x^2 + C, but I don't know how to solve. I've tried solving, but this ODE is not exact, nor homogeneous and I don't think the method of integrating factors apply either. Please help. Thanks in ...
*Friday, October 11, 2013 at 5:09am*

**Brief Calculus**

The position s of a point (in feet) is given as a function of time t (in seconds). s = −10 + t − 15t2; t = 8 (a) Find the point's acceleration as a function of t. s''(t)= I know this answer, it is -30 (b) Find the point's acceleration at the ...
*Thursday, October 10, 2013 at 10:39pm*

**Calculus **

How can you tell where on a graph f is discontinuous? What are the criteria?
*Thursday, October 10, 2013 at 7:55pm*

**Calculus**

Determine if Rolle's Theorem can be applied. If it can, find all values of c such that f'(c)=0. f(x)=x^3-9x, [-3,3]
*Thursday, October 10, 2013 at 4:09pm*

**Calculus**

The radius of a circular disk is given as 24 cm with a maximal error in measurement of .2 cm. What is the percentage error?
*Thursday, October 10, 2013 at 2:04pm*

**Calculus**

The linear approximation to (1/sqrt(9-x)) at x=0. What is y?
*Thursday, October 10, 2013 at 2:02pm*

**Calculus**

A cup of hot chocolate has temperature 80 C in a room kept at 20 C.? After a half hour the hot chocolate cools to 60 C. a) what is the temperature of the hot chocolate after another half hour? b) when will the chocolate have cooled to 40 C? I think I know how to do b, I'm ...
*Thursday, October 10, 2013 at 12:49pm*

**calculus**

Find the definate integal (upper limit 1, lower limit 0) (7-4x)^2dx
*Thursday, October 10, 2013 at 10:10am*

**calculus**

Find the definate integal (upper limit 1, lower limit 0) (2x^2-4x-6)dx
*Thursday, October 10, 2013 at 10:09am*

**Calculus 1**

Related Rates I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B. Ship A is sailing south at 35 km/s and ship B is sailing north at 25 km/s. How fast is the distance between the ships changing at 4:00pm.
*Thursday, October 10, 2013 at 3:45am*

**Calculus 1**

Related Rates I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B. Ship A is sailing south at 35 km/s and ship B is sailing north at 25 km/s. How fast is the distance between the ships changing at 4:00pm.
*Thursday, October 10, 2013 at 3:43am*

**Calculus 1**

Related Rates I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B. Ship A is sailing south at 35 km/s and ship B is sailing north at 25 km/s. How fast is the distance between the ships changing at 4:00pm.
*Thursday, October 10, 2013 at 3:42am*

**Calculus 1**

Related Rates I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B. Ship A is sailing south at 35 km/s and ship B is sailing north at 25 km/s. How fast is the distance between the ships changing at 4:00pm.
*Thursday, October 10, 2013 at 3:42am*

**Calculus 1**

Related Rates I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B. Ship A is sailing south at 35 km/s and ship B is sailing north at 25 km/s. How fast is the distance between the ships changing at 4:00pm.
*Thursday, October 10, 2013 at 3:41am*

**Calculus**

(cos πx + sin πy)4 = 54; Implicit Differentation
*Wednesday, October 9, 2013 at 8:45pm*

**Pre-Calculus**

You are given a pair of equations, one representing a supply curve and the other representing a demand curve, where p is the unit price for x items. −p+0.0208333333333333x+2=0 and p = √(57-x) What is the market equilibrium for x? I know I'm supposed to set both...
*Wednesday, October 9, 2013 at 4:03pm*

**Calculus**

Let A be the area of the circle with the radius r. if dr/dt = 5, find dA/dt when r = 1
*Wednesday, October 9, 2013 at 3:21pm*

**Calculus**

Use implicit differentiation to find an equation of the tangent line to the curve at the given point x^2 + xy + y^2 = 3, (1,1)
*Wednesday, October 9, 2013 at 3:19pm*

**Calculus**

Let f(x) = 6sin(sin(x^5)). Find f'(x)
*Wednesday, October 9, 2013 at 3:18pm*

**Calculus**

Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 18 feet high? (Recall that ...
*Wednesday, October 9, 2013 at 3:16pm*

**Calculus**

Suppose that (g(x))^2 + 13x = x^2g(x) + 21, and that g(3) = 6. Find g'(3)
*Wednesday, October 9, 2013 at 3:15pm*

**Calculus - help please! :)**

1. Given that f(x) = x^2 − 2x and that g(x) = sqrt(x-15): A. State (g • f)(x) and (g + f)(x). B. Find all vertical asymptotes of (g/f)(x). C. Determine the domain of (g ○ f)(x). D. Determine the range of (g ○ f)(x).
*Wednesday, October 9, 2013 at 10:57am*

**Pre-Calculus**

You are given a pair of equations, one representing a supply curve and the other representing a demand curve, where p is the unit price for x items. 466p+90x−2390=0 and 484p−22x−978=0 Determine the revenue function. Revenue function R(x)=? I got (-90x/466...
*Tuesday, October 8, 2013 at 11:01pm*

**Calculus**

At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h, and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 P.M.?
*Tuesday, October 8, 2013 at 10:42pm*

**Calculus**

The top of a 24 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate of 4 feet per second. How fast is the bottom of the ladder sliding along the ground when the bottom of the ladder is 7 feet away from the base of the wall?
*Tuesday, October 8, 2013 at 10:37pm*

**Calculus**

Find the slope of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2 = 25(x^2-y^2) at point (-3,-1).
*Tuesday, October 8, 2013 at 10:35pm*

**Calculus**

A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward first base with a speed of 21 ft/s. At what rate is his distance from second base changing when he is halfway to first base? At what rate is his distance from third base changing ...
*Tuesday, October 8, 2013 at 10:32pm*

**Calculus**

Differentiate y=log(8x^2-3x+9)
*Tuesday, October 8, 2013 at 10:10pm*

**Calculus **

Given a power function of the form f(x)=ax^n, with f'(3) = 14 and f'(6) = 28, find n and a.
*Tuesday, October 8, 2013 at 9:21pm*

**Calculus**

Find dy/dt. y=cos^4(pi(t)-20) If you could please show step-by-step, it would be much appreciated. Thanks in advance!
*Tuesday, October 8, 2013 at 9:06pm*

**Calculus**

Differentiate y=log(8x^2-3x+9)
*Tuesday, October 8, 2013 at 9:05pm*

**Calculus**

A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec. How fast is the tip of her shadow moving when she is 50 ft from the base of the pole.
*Tuesday, October 8, 2013 at 11:59am*

**Calculus**

Find the derivative. s=t^6tan(t)-sqrt t
*Tuesday, October 8, 2013 at 11:38am*

**Calculus**

At a certain factory, output Q is related to inputs u and v by the equation Q= 17u^2+(16u+17v)/(u+v)^2 If the current levels of input are u= 10 and v = 25, use calculus to estimate the change in input v that should be made to offset a decrease of .7 unit in input u so that ...
*Tuesday, October 8, 2013 at 9:04am*

**Calculus**

Find the derivative. s=t^6tan(t)-sqrt t
*Tuesday, October 8, 2013 at 4:11am*

**Brief Calculus**

Last one for today... As the financial consultant to a classic auto dealership, you estimate that the total value (in dollars) of its collection of 1959 Chevrolets and Fords is given by the formula v = 303,000 + 1,020t2 (t ¡Ý 5) where t is the number of years from...
*Tuesday, October 8, 2013 at 1:08am*

**Brief Calculus**

Minimize F = x2 + y2 with x + 2y = 5 Thank you
*Tuesday, October 8, 2013 at 12:07am*

**Calculus**

If f(x)= (1-cosx)/x and g(x)= 2/x on the interval (0,infinity), how would you identify all vertical asymptotes of f and g?
*Monday, October 7, 2013 at 8:40pm*

**CALCULUS**

using d^2(h/dt^2=−g+k(dh/dt^2, find an expression for the terminal velocity in terms of k and g? g is the acceleration due to gravity, k is a constant, h(t) is the height of the falling object, dh/dt is its velocity, and d^2(h)dt^2 is its acceleration. And can you ...
*Monday, October 7, 2013 at 7:59pm*

**Pre-Calculus**

From the top of a 300-ft lighthouse, the angle of depression to a ship in the ocean is 28°. How far is the ship from the base of the lighthouse? (Round your answer to the nearest foot.)
*Monday, October 7, 2013 at 6:31pm*

**Calculus**

using d^2(h)/dt^2=−g+k(dh/dt)^2, find an expression for the terminal velocity in terms of k and g? g is the acceleration due to gravity, k is a constant, h(t) is the height of the falling object, dh/dt is its velocity, and d^2(h)/dt^2 is its acceleration.
*Monday, October 7, 2013 at 5:21pm*

**Check my CALCULUS answers please! **

Any short explanation for things I got wrong would be great, too, if possible! Thanks in advanced! :) 8. Which of the following functions grows the fastest? ***b(t)=t^4-3t+9 f(t)=2^t-t^3 h(t)=5^t+t^5 c(t)=sqrt(t^2-5t) d(t)=(1.1)^t 9. Which of the following functions grows the ...
*Monday, October 7, 2013 at 12:08pm*

**Calculus, please check my answers!**

1. Evaluate: lim x->infinity(x^4-7x+9)/(4+5x+x^3) 0 1/4 1 4 ***The limit does not exist. 2. Evaluate: lim x->infinity (2^x+x^3)/(x^2+3^x) 0 1 3/2 ***2/3 The limit does not exist. 3. lim x->0 (x^3-7x+9)/(4^x+x^3) 0 1/4 1 ***9 The limit does not exist. 4.For the ...
*Monday, October 7, 2013 at 10:18am*

**Calculus**

solve for dv/du dQ/du= 38u + [(u+v)^2(18+19dv/du) -(2(18u+19v)(u+v)(1+dv/du)]/ (u+v)^4 u=10 v=25 I am confused how u solve for the dv/du in this big equation and reducing and stuff like that thanks!! this is about implicit di
*Monday, October 7, 2013 at 9:05am*

**Pre-Calculus**

For the function f(x)=3x^3−42x Compute the difference quotient [f(x+h)−f(x)]/h,h≠0 I checked my work like 3 times and still got [(-2x^3)+(3hx^2)+(3xh^2)+(h^3)-(42h)]/h Is it wrong?
*Monday, October 7, 2013 at 1:56am*

**Calculus**

Finf (dy/dx) y=(1+28x^3)f(x)+(6x)g(x)(x^4+5x+7)+(6x)g(x)(x^4+5x+7)-(e^x+7x^4)f(x)+3x^2g(x)(4x^3+5+7)/((x^4+5x+7)^2
*Sunday, October 6, 2013 at 9:04pm*

**Calculus help, please! **

1. Evaluate: lim x->infinity(x^4-7x+9)/(4+5x+x^3) 0 1/4 1 4 The limit does not exist. 2. Evaluate: lim x->infinity (2^x+x^3)/(x^2+3^x) 0 1 3/2 2/3 The limit does not exist. 3. lim x->0 (x^3-7x+9)/(4^x+x^3) 0 1/4 1 9 The limit does not exist. 4.For the function g(f)=4f...
*Sunday, October 6, 2013 at 8:23pm*

**Pre-Calculus**

The profit in dollars in producing x items of some commodity is given by the equation P=−11x2+346.5x−2612.5. How many items should be produced to break even?(If there are two break-even points, then enter the smaller value of x. Your solution may not be an integer...
*Sunday, October 6, 2013 at 6:44pm*

**Math: Pre-calculus**

A rancher wants to build a rectangular pen with an area of 180 . Let W be the width of the pen and L be the length of the pen. a) Find an equation for the perimeter P in terms of W and L . b) Use the given area to write an equation that relates W and L . c) Find the pen ...
*Sunday, October 6, 2013 at 5:35pm*

**Pre-Calculus**

Find the unknown in the following equation. If there are more than one solution, then separate the solutions with a comma. (−8y−4)^2+10=14 y=? I keep on getting y=-0.5, is that correct?
*Sunday, October 6, 2013 at 3:27pm*

**Calculus. Limits. Check my answers, please! :)**

4. lim (tanx)= x->pi/3 -(sqrt3) 1 (sqrt3) ***-1 The limit does not exist. 5. lim |x|= x->-2 -2 ***2 0 -1 The limit does not exist. 6. lim [[x]]= x->9/2 (Remember that [[x]] represents the greatest integer function of x.) 4 5 ***4.5 -4 The limit does not exist. 7. lim...
*Sunday, October 6, 2013 at 11:56am*

**Calculus - Limits. Check my answer, please! :)**

Suppose that h(x)={x^2-x+5 if x<2 {5 if x=2 {x^3-1 if x>2 Which of the following is equal to 7? I. lim h(x) x->2- II. lim h(x) x->2+ III. lim h(x) x->2 I only II only ***III only I and II only I, II, and III
*Sunday, October 6, 2013 at 11:44am*

**Calculus help, please! :)**

Consider the table of data for the function g(x),below: x: 2.9, 2.99, 2.999, 3.01, 3.1 g(x):4.41, 4.9401, 4.994, -5.006, -5.0601, -5.61 From the data given, it would appear that the lim g(x) x->3 is likely to be:
*Sunday, October 6, 2013 at 11:32am*

**Pre-Calculus**

The Hotel Bellville has 400 rooms. Currently the hotel is filled . The daily rental is $ 250 per room. For every $ 14 increase in rent the demand for rooms decreases by 5 rooms. Let x = the number of $ 14 increases that can be made. What should x be so as to maximize the ...
*Sunday, October 6, 2013 at 12:59am*

**CALCULUS. Check my answers, please! :)**

The domain of f(x)=(1)/(sqrt(x^2-6x-7)) is (1, 7) [-1, 7] x > -1 or x < 7 ***{x < -1}U{x > 7} (-∞, -1]U[7, ∞) 2. In which of the following is y a function of x? I. y^2=9-x^2 II. |y|=x III. y=(sqrt(x^2))^3 I only II only III only ***I and III only I, II ...
*Saturday, October 5, 2013 at 12:24pm*

**Vector Calculus**

Thermodynamics texts use the relationship (dy/dx)(dz/dy)(dx/dz) = -1 Explain the meaning of this equation and prove that it is true (Hint: Start with a relationship F(x,y,z) = 0 that defines x = f(y,z), y = g(x,z), and z = h(x,y) and differentiate implicitly)
*Friday, October 4, 2013 at 4:14am*

**Calculus**

Find the area of the region bounded by the graphs of the given equations: y=x, y=2√x
*Friday, October 4, 2013 at 2:28am*

**Calculus**

The position of a body at time t sec is s=t^3-6t^2+9t m. Find the body's acceleration each time the velocity is zero.
*Friday, October 4, 2013 at 12:19am*

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