Friday

October 24, 2014

October 24, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**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*

**calculus**

Find the derivative of the function. G(y) = (y − 1)3/ (y2 + 2y)7
*Thursday, October 3, 2013 at 10:18pm*

**calculus**

Determine the value(s) of x where the function will have an instantaneous rate of change of 14. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x3 + 33 x2 + 14 x + 39
*Thursday, October 3, 2013 at 9:58pm*

**Calculus**

Use the linear approximation (1+x)^k\approx 1+kx to find an approximation for the function f(x) for values of x near zero. I need help for (3+3x)^(1/3). Please help me!
*Thursday, October 3, 2013 at 8:50pm*

**calculus**

Find the area bounded by {y=x2−4 y=4−x2 • sketch the region described • determine any intersection point(s) for the curves (show work!!) • write out the integral(s) that will calculate the area • determine the area (may use a calculator)
*Thursday, October 3, 2013 at 6:40pm*

**calculus**

An influenza epidemic has an infection rate modeled by I ' (t)=30 e0.04 t , where t is time measured in days since the start of the epidemic on January 14th , and I '(t) measures the infection rate in people per day. On January 14th there were 800 infected people on ...
*Thursday, October 3, 2013 at 6:39pm*

**Calculus & Vectors**

Sketch the sets of complex numbers that would satisfy the following equations. a) |z| > 3 b) z = bi how would the sketches look like?
*Thursday, October 3, 2013 at 5:29pm*

**Calculus: implicit differentiation**

Find dy/dx by implicit differentiation 1. x^3 -xy+ y^2= 7 The given answer is (y-3x^2)/ (2y-x), but I'm not getting it. 2. How would I do this one? If I couldn't do the above one, which looks a heck of a lot simpler, I doubt I'll get through this one. x^ (6/7) + y...
*Thursday, October 3, 2013 at 12:19pm*

**Calculus**

Book works out integral of sqtr(a^2-x^2)dx as a^2/2*arcsin(x/a)+x/2*sqrt(a^2-x^2) by taking x=a sin theta, and advises to work it out using x=a cos theta. I did and got the first term as -a^2/2*arccos(x/a)and the same second term. This means arcsin x/a=-arccos x/a which can be...
*Thursday, October 3, 2013 at 5:07am*

**Calculus, check my answers, please? :)**

Okay, so I think these are right, but I would appreciate if someone could check them and tell me if something is wrong and what the right answer is. I'd also appreciate an explanation if possible. :)Thank you! 7. Given that f(x)={x^3 if x ≥ 0 {x if x < 0 which of ...
*Wednesday, October 2, 2013 at 11:15pm*

**Calculus, check my answers, please! **

Could someone tell me if I'm right, and if not what the correct answer is? Thank you! I'd appreciate an explanation, too, if you could. :) 1. Suppose you're given the following table of values for the function f(x),and you're told that the function is even: x f...
*Wednesday, October 2, 2013 at 11:11pm*

**Calculus**

Consider the curve given by y^2 = 2+xy (a) show that dy/dx= y/(2y-x) (b) Find all points (x,y) on the curve where the line tangent to the curve has slope 1/2. (c) Show that there are now points (x,y) on the curve where the line tangent to the curve is horizontal. (d) Let x and...
*Wednesday, October 2, 2013 at 9:36pm*

**BC Calculus**

Find a general formula for F''(x) if F(x) = xf(x) and f and f' are differentiable at x.
*Wednesday, October 2, 2013 at 9:22pm*

**Calculus, check my answers, please! 3**

Did I get these practice questions right? 1. Suppose that f is an even function whose domain is the set of all real numbers. Then which of the following can we claim to be true? ***The function f has an inverse f –1 that is even. The function f has an inverse f –1, ...
*Wednesday, October 2, 2013 at 12:28pm*

**Calculus, check my answer, please! 2**

Consider the following functions: f(x)=sin(x^4-x^2) h(x)=(|x|-3)^3 g(x)=1n(|x|)+3 s(x)=sin^3(x) Which of the following is true? h and g are even, f and s are odd. f is even, h and s are odd. h and s are even, f is odd. ***f and h are even, s is odd. f, h, and s are odd.
*Wednesday, October 2, 2013 at 12:26pm*

**Calculus, check my answer, please! 1**

Did I get this practice question right? 1. Consider the following functions: f(x)=cos(x^3-x) h(x)=|x-3|^3 g(x)=1n(|x|+3) s(x)=sin^3(x) Which of the following is true? (Points : 1) f is even, h and s are odd. ***f and g are even, s is odd. h and s are odd, g is even. s is odd, ...
*Wednesday, October 2, 2013 at 12:25pm*

**calculus**

Find the derivative... 1) f(u)= 1/ (2u^2-1)^2
*Wednesday, October 2, 2013 at 11:10am*

**Pre-Calculus**

A ball is thrown up at the edge of a 364 foot cliff. The ball is thrown up with an initial velocity of 72 feet per second. Its height measured in feet is given in terms of time t, measured in seconds by the equation h=−16t2+72t+364. How high will the ball go? To get how ...
*Monday, September 30, 2013 at 11:15pm*

**Pre-Calculus**

A local photocopying store advertises as follows. " We charge 14 cents per copy for 150 copies or less, 6 cents per copy for each copy over 150 but less than 230, and 3 cents per copy for each copy 230 and above. " Let x be the number of copies ordered and C(x) be ...
*Monday, September 30, 2013 at 10:45pm*

**Calculus**

Can some one please explain this problem to me? Find lim x->0 (sin5x/sin7x)
*Monday, September 30, 2013 at 6:53pm*

**Pre-Calculus**

A local photocopying store advertises as follows. " We charge 14 cents per copy for 150 copies or less,6 cents per copy for each copy over 150 but less than 230, and 3 cents per copy for each copy 230 and above. " Let x be the number of copies ordered and C(x) be the...
*Monday, September 30, 2013 at 2:30am*

**Pre Calculus**

He needs two adjacent rectangular enclosures - he has 300 feet of fencing. a. find a function that models the total area of enclosures with respect to the width of the enclosures. b. write your function in vertex form using the vertex formula. c. what is the largest area that ...
*Sunday, September 29, 2013 at 2:40pm*

**Calculus**

A function of three variables is given by, f (x,y,t) = x3y2sin t + 4x2t + 5yt2 + 4xycos t Find ft (3.44,0.58,8.1) giving your answer to 3 decimal places. anybody please help me... thanks a million... got stuck with this qns..
*Sunday, September 29, 2013 at 7:29am*

**Pre-Calculus**

A machine worth $ 11000 new and having a scrap value of $ 10995.6 is to be depreciated over a 4.4 -year life. Find the function that describes straight line depreciation for this situation. At what time will the machine be worth $ 10997.8 according to this model? So I know ...
*Saturday, September 28, 2013 at 2:48pm*

**Pre-Calculus**

If a manufacturer has fixed costs of $ 300 , a cost per item for production of $ 60 , and expects to sell at least 100 items, how should he set the selling price to guarantee breaking even? I set up the cost function by writing 300 + 60x, but I don't know what to do next...
*Saturday, September 28, 2013 at 1:38pm*

**Calculus & Vectors**

Sketch the sets of complex numbers that would satisfy the following equations. a)z=2 b)|z|=2 c)(5,4) d)(sqrt2, -sqrt2) Also, please explain how to do it. Thanks.
*Saturday, September 28, 2013 at 9:58am*

**Calculus Please Help??**

Evaluate the integral (3x^2-16x-19)/(x^3-4x^2-3x+18)
*Friday, September 27, 2013 at 8:11pm*

**Calculus**

Consider the indefinite integral (6x^3+3x^2-19x-10)/(x^2-4)dx Then the integrand decomposes in the form ax + b + (c/(x-2)) + (d/(x+2) I found b and c to equal 3 and d to equal 2, but I'm having trouble finding A and finding the final integration by integrating term by term.
*Friday, September 27, 2013 at 6:11pm*

**Calculus**

lim x -> infinity for (sin^2x)/(x^2-1)
*Friday, September 27, 2013 at 11:34am*

**Calculus (first year uni)**

Hello lim x->pi^- for cot(x) [In words,this is the limit of x as it approaches pi from the negative direction for the function cot(x). I am very confused as to how this occurs and turns out to be negative infinity. Thanks.]
*Friday, September 27, 2013 at 11:32am*

**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)=3+e^4−x
*Friday, September 27, 2013 at 10:27am*

**Calculus and vectors**

A vector can be used to represent the path of a drill tip used to bore a deep mine shaft in Sudbury one quarter of the way to the centre of the Earth. Represent the vector using a directed line segment and Cartesian co-ordinates and describe which representation may be more ...
*Friday, September 27, 2013 at 7:24am*

**calculus and vectors**

A traffic sign is hanging from two wires. If the weight of the sign is 35 N, what are the tensions in the two wires as shown below? (# in degrees) --------------------- \ 56 45/ \ / \ / \ /
*Thursday, September 26, 2013 at 11:19pm*

**Calculus**

Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. If Rolle's Theorem can be applied, find all values of c in the open interval (a,b) such that f'(x)=0. f(x) = x^(2/3) - 1 [-8,8] I plugged in both values and found out that they both...
*Thursday, September 26, 2013 at 9:01pm*

**Calculus**

Snow is falling vertically at a constant rate of 8.0 m/s. At what angle from the vertical do the snowflakes appear to be falling as viewed by the driver of a car traveling on a straight, level road with a speed of 50k.h?
*Thursday, September 26, 2013 at 5:26pm*

**Calculus**

The position vector for a proton is initially r(with vector sign above it) =5.0i(with top)- 6.0j(with top) + 2.0k(with top) and then later is r vector = -2.0i(with top)+6.0j(with top)+ 2.0k (with top), all in meters. What is the proton's displacement vector, and to what ...
*Thursday, September 26, 2013 at 5:23pm*

**Calculus**

Use integration by parts to evaluate the integral xsqrt(2x+6)dx.
*Thursday, September 26, 2013 at 12:45pm*

**Calculus**

Evaluate the Integral (x^5sqrt(10+x^6))dx by making a u-substitution.
*Thursday, September 26, 2013 at 12:41pm*

**Calculus**

Int tanx sec^2x dx can be taken as (by putting it in form of Int xdx) Int secx.secx tanx dx=(sec^2x)/2 Int tanx.sec^2x dx=(tan^2)/2. Which one is correct and why is the difference?
*Thursday, September 26, 2013 at 7:51am*

**calculus**

Find all vales for a so that f(x) { x+1...x<=a { x^2...x>a is continuous
*Wednesday, September 25, 2013 at 8:45pm*

**calculus**

Suppose you know that a population,P, of termites is growing continuously in an exponential manner. (Use the formant P=P0e^kt) If the pest control service estimates that the number of termites will double in 6 months... A) Determine the monthly continuous population growth ...
*Wednesday, September 25, 2013 at 12:05am*

**Calculus**

How do I find the critical values? y= 4/x + tan(πx/8) What I did is I simplified it to y= 4x^-1 + tan(πx/8) then I took the derivative y'= -4x^-2 + (π/8)(sec(πx/8))^2 Then I simplied it y'= -4/x^2 + (π/8)(sec(πx/8))^2 then I found a ...
*Tuesday, September 24, 2013 at 9:54pm*

**Calculus**

g(x)= {0 if x<0 {x^2-2x if 0≤x≤2 {2 if x>2 Find all values x=a where the function is discontinuous. Is the answer 0 and 2 or just 2?
*Tuesday, September 24, 2013 at 9:53pm*

**Calculus**

f(x)= |x−8| / x+8 Is the function is not continuous at x= -8,8 or just at -8.
*Tuesday, September 24, 2013 at 10:50am*

**Calculus**

f(x)= ⎨x^2-1 / x+1, for x not = -1 ⎨8, for x=-1 I'm trying to graph and determine the values of x for which the function is continuous. Does the graph looks like a u shape opening up or a line.
*Tuesday, September 24, 2013 at 9:52am*

**Calculus**

6/ln[x] find the derivative... im coming up with -6/x*(ln(x))^2 but it isn't accepting the answer what am i doing wrong?
*Tuesday, September 24, 2013 at 12:45am*

**Calculus**

I hate these Y= (Square root of x) - 2 ________________________ (square root of x) + 2 Calculate dy/dx Please help, thank you
*Monday, September 23, 2013 at 11:51pm*

**Calculus**

Find the Taylor series of f(x) = sin(x) at a = Pi/3.
*Monday, September 23, 2013 at 9:49pm*

**Calculus**

Find the limit. lim x→1 x^4-5x^3+7x^2-6x+3 / x-1
*Sunday, September 22, 2013 at 10:03pm*

**Calculus**

Give an appropriate answer. Let lim x→6 f(x)=81. Find lim x→6 4^√f(x).
*Sunday, September 22, 2013 at 5:14pm*

**Pre-Calculus **

The Period T, in seconds, of a pendulum depends on the distance, L, in meters, between the pivot and the pendulum's centre of mass. If the initial swing angle is relatively small, the period is given by the radical function T=2pi(sqrtL/g) where g represents acceleration ...
*Friday, September 20, 2013 at 9:32pm*

**Calculus**

Question : 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 of nw for any natural number n is modeled by the following function : A...
*Friday, September 20, 2013 at 4:53pm*

**Calculus**

Find the following limit if it exists, or explain why it does not exist: lim as x approaches -infinity of square root of (9x^6-x^2) divided by x^3+5
*Friday, September 20, 2013 at 3:23pm*

**Calculus**

I have done Int(1/ax)dx=1/a*Int(1/x)dx =[(log x)/a] + C. The working in the book is Int(1/ax)dx=1/a*Int(a/ax)dx =[(log ax)/a]+C. Which one is correct and where is the error in my working, if so?
*Friday, September 20, 2013 at 2:41am*

**Calculus (math)**

Using your knowledge of trigonometric identities, ﬁnd the exact value of sin(x+y) knowing that x and y are between 0 and π2, that sin(x)=725 and that sec(y)=1312. Your answer must be a rational number, written in the form of an irreducible fraction p/q (such as 2/3...
*Thursday, September 19, 2013 at 3:52pm*

**calculus**

if y=cosx.sinx find dy/dx
*Thursday, September 19, 2013 at 11:49am*

**Pre-Calculus**

I've tried to simplify this a million different ways, but I can't seem to get the right answer. Please help. ((1/(x+h)^3)-(1/x^3))/8h
*Wednesday, September 18, 2013 at 8:54pm*

**calculus**

If lim(f+g)=1 as x-->a and lim(f-g)=1 as x-->a find lim fg as x-->a
*Wednesday, September 18, 2013 at 6:08pm*

**Calculus**

Find the Indefinite Integral without u substitution of the following a)(8x-3)/(12x^6) b) 2sqrtx(5x-6) c) (4x+3)/xsqrtx d) (5x-6)^2 / sqrt x e) 16x^2 + x - 20 / 4x^2
*Wednesday, September 18, 2013 at 4:32pm*

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