Monday

January 23, 2017
**Calculus application of sin function**

a horizontal position of the pendulum of a grandfather clock can be modelled by h(t)=Acos(2(pi)t/T), where A is amplitude of the pendulum in meters, t is time in seconds, and T is the period of the pendulum, in seconds. If the pendulum has a velocity of v(t)=sin Pi(t) find: A...

*Friday, November 25, 2016 by Matt*

**calculus**

Find the area of the region cut from the first quadrant by the curve r=2(2-sin2Éµ)Â½;

*Friday, November 25, 2016 by Saud*

**Calculus**

Find the local maximum and minimum values of the following curve within the given domain. y=SECx-TANx 0 â‰¤ x â‰¤ 2Ï€

*Thursday, November 24, 2016 by matt*

**Calculus - Optimization**

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 38 feet?

*Thursday, November 24, 2016 by Kid*

**Calculus applications**

A steel factory wishes to make a cylindrical container, of thin metal, to hold 100cmÂ³, using the least possible area of metal. If the outside surface is S cmÂ² and the radius is r cm, show that S = 2Ï€rÂ² + 200r-1 and hence find the ...

*Thursday, November 24, 2016 by Thomas*

**help me calculus**

Convert the rectangular equation to an equation in (a) cylindrical coordinates and (b) spherical coordinates. 4(x^2 + y^2) = z^2

*Thursday, November 24, 2016 by .*

**Calculus**

determine all asymtote(s) of f(x)= 1/(x(x-1)^2) using limits

*Wednesday, November 23, 2016 by matt*

**Calculus**

find the point(s) of inflection on the function f(x)= 10x + 10/x

*Wednesday, November 23, 2016 by matt*

**Calculus**

Find the biggest value of c that satisfy the Mean Value Theorem for integrals for f(x)= 1/(x+1)^6 on the interval [0,7]

*Wednesday, November 23, 2016 by Anon*

**Calculus**

Find the average value of the function defined by f(x)= x^2 sin 3 x^3 on the interval [0, 3rd Root (pi)]

*Wednesday, November 23, 2016 by Abby*

**Calculus**

An object at the origin at time t= 0 has velocity measured in meters per second, v(t) = t/30 if 0 <= t <= 90 = 3 if 90 < t <= 108 = 9-(t/30) if 180 < t When, if ever, does the object return to the origin? t=

*Wednesday, November 23, 2016 by Anonymous*

**Calculus**

Use Stokes' Theorem to evaluate C F Â· dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = yzi + 9xzj + exyk, C is the circle x2 + y2 = 1, z = 3.

*Wednesday, November 23, 2016 by Anon*

**Calculus**

A particle moves along line segments from the origin to the points (3, 0, 0), (3, 3, 1), (0, 3, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i + 2xyj + 3y2k. Find the work done.

*Wednesday, November 23, 2016 by Anon*

**pre calculus**

can you please explain what steps you take to find ||u||2 when u: <-1,7> v: <6,4>?

*Wednesday, November 23, 2016 by Anonymous*

**pre calculus**

Can you explain how to find (u â€¢ v)(u + v) when u <-1, 7> and v <4, -3>

*Wednesday, November 23, 2016 by Anonymous*

**Calculus**

Find all values of c that satisfy the Mean Value Theorem for integrals for f(x)= x^{2} on the interval [-3, 3]

*Wednesday, November 23, 2016 by Anonymous*

**Calculus**

If f(x) = integrate t^2 from x to x^2, then f'(x)= f'(-1)= Please help! I have no idea how to approach this.

*Wednesday, November 23, 2016 by Anonymous*

**Calculus - fundamental theorems**

d/dx integral e^t^2 dt from 1 to x^3 Please help. I think I'm supposed to use substitution for the x^3 and then apply the chain rule but I'm not sure how to do that.

*Wednesday, November 23, 2016 by Adam*

**Calculus - Fundamental Thm of Calc**

Suppose F(t) is an antiderivative of t^{3}. Then F'(t)= t^3. According to the Second Fundamental Theorem of Calculus, x âˆ« (t^3)dt = ??? 1 Answer using the function F

*Wednesday, November 23, 2016 by James*

**calculus**

how do you work out what ||u||2 is when you are given u:<-1,7> and v:<6,4>

*Wednesday, November 23, 2016 by Anonymous*

**pre calculus**

Given: u <-1, 7> and v <4, -3> Find: (u â€¢ v)(u + v) ________________________________________ <25, 100> <-25, 100> <-75, -100> <75, -100>

*Wednesday, November 23, 2016 by Anonymous*

**pre calculus**

Use the following vectors to answer the question. u: <-1,7> v: <6,4> What is the projection of u onto v?

*Wednesday, November 23, 2016 by Anonymous*

**pre calculus**

Use the following vectors to answer the question. u: <-1,7> v: <6,4> What is ||v||2?

*Wednesday, November 23, 2016 by Anonymous*

**pre calculus**

Use the following vectors to answer the question. u: <-1,7> v: <6,4> What is ||u||2?

*Wednesday, November 23, 2016 by Anonymous*

**Calculus**

The radius of a conical tank is 2.7 meters and the height of the tank is 4.3 meters. Water is flowing into the tank at a constant rate of 59.5 m3/minute. At the instant the the depth of the water is 0.6 meters, answer the following: (A) At what rate is the depth of the water ...

*Wednesday, November 23, 2016 by Anon*

**calculus**

Find the domain of the vector-valued function. r(t) = sin ti + 4 costj + tk plz help me working

*Wednesday, November 23, 2016 by ....*

**Calculus**

The number of people expected to have a disease in t years is given by y(t)=Aâ€¢3^(t/4) i) if now year(2016) the number of people having disease is 1000, find the value of A? ii) how many people expected to have the disease in five years? iii) when are 100,000 ...

*Wednesday, November 23, 2016 by Shah*

**Differential calculus**

Sketch the graph of the curve y=(x-2)(x+1)(x+3)

*Wednesday, November 23, 2016 by Mohammed*

**calculus help**

Find an equation in cylindrical coordinates for the rectangular equation. y^2 = x

*Tuesday, November 22, 2016 by ....*

**Calculus**

Evaluate âˆ«tan(3x)dx

*Tuesday, November 22, 2016 by kate*

**Calculus**

Evaluate âˆ«âˆš(x^3+1)dx

*Tuesday, November 22, 2016 by kate*

**Calculus**

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim (tan(7x))^x x~>0

*Monday, November 21, 2016 by Po*

**calculus**

suppose that c(x)=3x^3 - 12x^2 +9000x is the cost of manufacturing x items. find a production level that will minimize the average cost of making x items

*Monday, November 21, 2016 by bob*

**calculus**

For which of the following mixtures will Ag2SO4(s) precipitate? 150.0 mL of 0.10 M Na2SO4(aq) and 5.0 mL of 0.20 M AgNO3(aq) 150.0 mL of 0.10 M Na2SO4(aq) and 5.0 mL of 0.30 M AgNO3(aq) 150.0 mL of 0.10 M Na2SO4(aq) and 5.0 mL of 0.40 M AgNO3(aq) 150.0 mL of 0.10 M Na2SO4(aq) ...

*Sunday, November 20, 2016 by chris12*

**Calculus**

A small island is 2 km off shore in a large lake. A woman on the island can row her boat 10 km/h and can run at a speed of 20 km/h. If she rows to the closest point of the straight shore, she will land 6 km from a village on the shore. How far from the village should she land ...

*Sunday, November 20, 2016 by Anonymous*

**Calculus**

A factory is located on one bank of a straight river that is 2000 m wide. On the opposite bank but 4500 m downstream is a power station from which the factory draws its electricity. Assume that it costs $3 per meter to lay an underwater cable and $1 per meter to lay an above ...

*Sunday, November 20, 2016 by Anonymous*

**calculus antiderivation**

A car traveling 60 mi/h along a straight road decelerates at a constant rate of 11 ft/s2. (a) How long will it take until the speed is 45 mi/h? (b) How far will the car travel before coming to a stop?

*Sunday, November 20, 2016 by hamza*

**Calculus**

Given that x=cos^2t and y=ln(sint) find d^2y/dx^2 at the point t=Ï€/4

*Sunday, November 20, 2016 by Omar*

**Calculus**

Suppose that you are to make a rectangular box with a square base from two different materials. The material for the top and four sides of the box costs $1/ft2$1/ft2; the material for the base costs $2/ft2$2/ft2. Find the dimensions of the box of greatest possible volume if ...

*Saturday, November 19, 2016 by Allie*

**Math (Calculus) (mean value theorem emergency)**

Consider the graph of the function f(x)=x^2-x-12 a) Find the equation of the secant line joining the points (-2,-6) and (4,0). I got the equation of the secant line to be y=x-4 b) Use the Mean Value Theorem to determine a point c in the interval (-2,4) such that the tangent ...

*Saturday, November 19, 2016 by Ray*

**Calculus**

An 18 meter ladder leaning against a building makes a 70 angle with ground. How far up the building does the ladder touch?

*Saturday, November 19, 2016 by Joana*

**Calculus**

Let F(x)=f(x^4) and G(x)=(f(x))^4. You also know that a^3=15, f(a)=2, fâ€²(a)=4, fâ€²(a^4)=12. Find Fâ€²(a) and Gâ€²(a). I don't even know where to begin.

*Saturday, November 19, 2016 by Ana*

**Pre-calculus**

prove the identity sin2x-sin2y/sin2x+sin2y=tan(x-y)/tan(x+y)

*Saturday, November 19, 2016 by liv*

**Pre-calculus**

prove sin(x+y)+sin(x-y)/cos(x+y)+cos(x-y)=tanx

*Saturday, November 19, 2016 by liv*

**Pre-calculus**

If sin2x=7/25, siny=-2/sq root of 13, cot y>0, and -pi/4<x<pi/4, find sin(2y-a)

*Saturday, November 19, 2016 by Liv*

**Calculus**

Consider the function g(x) = sinxcosx. a. Find an equation of the tangent line to the graph of g at (pi/3, sqrt3/4). b. Find the critical number(s) of g on the interval [0, 2pi]. Does the function have a relative minimum, relative maximum, or neither at each critical number. ...

*Friday, November 18, 2016 by Anonymous*

**Calculus**

Use a(t) = -32 ft/sec2 as the acceleration due to gravity. (Neglect air resistance.) A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 68 feet per second. How high will the ball go?

*Friday, November 18, 2016 by Kelly*

**Calculus**

Integral f (x) * g (x) doesn't equal Integral f (x)dx * integral g (x)dx Why?

*Friday, November 18, 2016 by Ian*

**Calculus**

I'm supposed to sketch a graph of two functions that have the same derivative of a graph. The graph having a horizontal line on (0,4)

*Friday, November 18, 2016 by Ian*

**PRE-CALCULUS**

. Sam won $150,000 in the Michigan lottery and decides to invest the money for retirement in 20 years. Find the accumulated value for Samâ€™s retirement for each of his options: (a) a certificate of deposit paying 5.4% compounded yearly (b) a money market ...

*Friday, November 18, 2016 by ROSE*

**PRE-CALCULUS**

Find the accumulated value of a $5000 investment which is invested for 8 years at an interest rate of 12% compounded: (a) annually (b) semi-annually (c) quarterly (d) monthly (e) continuou

*Friday, November 18, 2016 by ROSE*

**Calculus**

Use the second fundamental theorem of calculus to find F'(x) F(x)=The integral from 0 -> x^2 (Sin(x)^2)dx

*Friday, November 18, 2016 by Erika*

**Pre-calculus**

Prove the following identities. 1. 1+cosx/1-cosx = secx + 1/secx -1 2. (tanx + cotx)^2=sec^2x csc^2x 3. cos(x+y) cos(x-y)= cos^2x - sin^2y

*Friday, November 18, 2016 by Liv*

**Calculus**

Why are these false? If a function has derivatives from both the right and left at a point then its differentiable at that point.

*Thursday, November 17, 2016 by Molly*

**Calculus**

i need help, im not sure how to get started : 1) A piece of wire 14 m long is cut into two pieces, the length of the first piece being x m. The first piece is bent into a circle, and the other is bent into a rectangle with length twice the width. Give an expression for the ...

*Thursday, November 17, 2016 by Angela*

**calculus**

A positive multiple of 11 is good if it does not contain any even digits in its decimal representation. (a) Find the number of good integers less than 1000. (b) Determine the largest such good integer. (c) Fix b â‰¥ 2 an even integer. Find the number of positive...

*Thursday, November 17, 2016 by help*

**Calculus: Centers of Mass**

Find the centroid of the region in the first quadrant bounded by the x-axis, the parabola y^2 = 2x, and the line x + y = 4. I've graphed the function, and it looks like a triangle with one side curved (the parabola). I'm not quite sure how to go about the rest of the ...

*Thursday, November 17, 2016 by Anonymous*

**Calculus**

Approximate the area under the curve y=2/x from 1 to 2 using ten approximating rectangles of equal widths and right endpoints. Round your answer to the nearest hundredth

*Thursday, November 17, 2016 by Hamad hasan*

**re: Differential Calculus**

Write the equation of lines tangent and normal to the following function at (0, Ï€). To find derivative, use implicit differentiation. x^2cos^2y - siny = 0 Note: I forgot the ^2 for cos on the previous question. Sorry.

*Thursday, November 17, 2016 by Billy Bob*

**Differential Calculus**

Write the equation of lines tangent and normal to the following function at (0, Ï€). To find derivative, use implicit differentiation. x^2cos^y - siny = 0

*Thursday, November 17, 2016 by Billy Bob*

**Integral Calculus**

I am unable to find the formula for this given sequence: {2, -6/4, 24/16, -120/64, 720/256,...} So far, I know it's at least this: a(sub(n)) = ((-1)^(n+1))/(4^(n-1)) Basically, all I'm having trouble with is finding the pattern between the numerators. If anybody can ...

*Thursday, November 17, 2016 by Matt*

**Differential calculus**

Find the equation of the parabola w/ v(3,-4) and with directrix y=0.

*Wednesday, November 16, 2016 by Mohammed*

**Calculus**

Find the values of c guaranteed by the mean value theorem for integrals. f(x)= x^3 [0,3]

*Wednesday, November 16, 2016 by Ian*

**Calculus**

Find the average value of the function over [1,3] and all values of x in the interval for which the function: f(x)= 4(x^2+1)/x^2 equals its average value.

*Wednesday, November 16, 2016 by Erika*

**Calculus**

Find the value of the derivative (if it exists) of f(x) = (x+3)^(4/3) at x=-3. So I got (4*(x+3)^(1/3))/3 for the derivative and 0 for the final answer.

*Wednesday, November 16, 2016 by Anonymous*

**Calculus**

Evaluate the definite integral (low) (high) -Ï€/6 âˆ« Ï€/6 2sec(x)tan(x) dx

*Wednesday, November 16, 2016 by Eric*

**Calculus**

How many critical points does the function f(x) = e^x - x^3 have?

*Wednesday, November 16, 2016 by Anonymous*

**Calculus**

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. f(x) = 4âˆšx [4, 9]

*Tuesday, November 15, 2016 by Eric*

**Calculus**

A rectangular swimming pool is 8 m wide and 20 m long. Its bottom is a sloping plane, the depth increasing from 1 m at the shallow end to 3 m at the deep end. Water is draining out of the pool at a rate of 1 m3/min. How fast is the surface of the water falling when the depth ...

*Tuesday, November 15, 2016 by Po*

**College Calculus**

A radioactive substance has a half-life of 27 years. Find an expression for the amount of the substance at time t if 20 grams were present initially.

*Monday, November 14, 2016 by Jaken*

**Differential calculus**

Find the equation of the parabola w/ v(3,-4) and with directrix y=0.

*Monday, November 14, 2016 by Mohammed*

**Math checking answers (Calculus Differentials)**

The radius of a spherical balloon is measured as 8 inches, with a possible error of 0.02inch. a) Use differentials to approximate the possible propagated error in computing the volume of the sphere. b) Use differentials to approximate the possible propagated error in computing...

*Monday, November 14, 2016 by Ray*

**Calculus**

show that ((x âˆ’ 1)/x) <( ln x) < (x âˆ’ 1) for all x>1 Hint: try to apply the Mean Value Theorem to the functions f(x) = lnx and g(x) = xlnx. I'm having trouble applying the mean value theorem

*Monday, November 14, 2016 by Po*

**Calculus - Word Problems**

Suppose a spherical snowball is melting at a constant rate of 0.20in per hour. How fast is the volume changing when the radius is 10in?

*Monday, November 14, 2016 by Danny*

**Calculus - Optimization**

The post office ships a package using large package rates if the sum of the length of the longest side and the girth (distance around the package perpendicular to its length) is greater than 84in and less than or equal to 108in. Suppose you need to ship a package that is 40in ...

*Monday, November 14, 2016 by Danny*

**Calculus**

The post office ships a package using large package rates if the sum of the length of the longest side and the girth (distance around the package perpendicular to its length) is greater than 84in and less than or equal to 108in. Suppose you need to ship a package that is 40in ...

*Monday, November 14, 2016 by Danny*

**Pre-Calculus**

The amount of force required to compress a spring is inversely proportional to the distance that it has been compressed. For one certain spring, it takes 5 pounds of force to compress it from its natural length of 18 inches down to 12 inches. How much force would be required ...

*Monday, November 14, 2016 by Karen*

**Calculus**

A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when its base is 7 feet?

*Sunday, November 13, 2016 by Anonymous*

**Integral Calculus**

For what values of p is this series convergent? (summation from n = 1 to infinity) of ((-1)^(n-1))/(n^(p + 2)) A. p >= -2 B. p =/= -2 C. p > -2 D. for all p E. p > 0 You have to use the Alternating Series Test. I've already tried E, and it was wrong. I have one ...

*Sunday, November 13, 2016 by Joeseph*

**help me calculus**

the parametric equation of a curve are x=cos2Ã˜and y=1+sin2Ã˜ find dy/dx and d^2y/dx^2 at Ã˜=pai/6.find the relationship between x and y sir steve help see my work dx/dÃ˜=-2sin2Ã˜ dy/dÃ˜=2cos2Ã˜...

*Sunday, November 13, 2016 by practising and need help*

**another please help me check~calculus maths**

y=3e^(2x)cos(2x-3) verify that d^2y/dx^2-4dy/dx+8y=0 plz help me i tried all i could but it become too complicated for me here set u=3e^(2x) v=cos(2x-3) du/dx=6e^(2x) i used chain rule dv/dx=-2sin(2x-3) dy/dx=-3e^(2x)sin(2x-3)+cos(2x-3)6e^(2x) d^2y/dx^2 now i did lndy/...

*Sunday, November 13, 2016 by practising and need help*

**Calculus**

Find the derivative. y=e^8x/[e^(8x)+9] y' = The answer I have is 8e^8x/[(e^8x+9)^2] but it marked it incorrect..

*Sunday, November 13, 2016 by Alyssa*

**Calculus**

Use the function f and the given real number a to find (f^-1)'(a) f(x)=(x+9)/(x+3), x>-3, a=2 f(^-1)'(a)= ? Can someone please show me how to solve this problem?

*Sunday, November 13, 2016 by Alyssa*

**Calculus**

Use the function f and the given real number a to find (f^-1)'(a) f(x)=x^3+8x-3 a=6 (f^-1)'(6)= Thank you.

*Sunday, November 13, 2016 by Alyssa*

**Calculus**

The demand equation for a product is p=88,650/(396+3x) where p is the price (in dollars) and x is the number of units (in thousands). Find the average price p on the interval 40 <= x <= 50. (Round your answer to two decimal places.) Please show work because I know the ...

*Sunday, November 13, 2016 by Alyssa*

**need help calculus plz plz-sir steve**

if y=3e^(2x)cos(2x-3) verify that d^2y/dx^2-4dy/dx+8y=0 plz help me i tried all i could but it become too complicated for me here set u=3e^(2x) v=cos(2x-3) du/dx=6e^(2x) i used chain rule dv/dx=-2sin(2x-3) dy/dx=-3e^(2x)sin(2x-3)+cos(2x-3)6e^(2x) d^2y/dx^2 now i did ...

*Sunday, November 13, 2016 by practising and need help*

**Calculus**

Find the point on the parabola y^2=x that is closest to the point (1,7?

*Sunday, November 13, 2016 by Asfand*

**Calculus**

Find the equation of the line through the point (3, 5) that cuts off the least area from the first quadrant? y-A=B(x-C) i know its slope is -3/5 which is B. But what are the values of A and C?

*Sunday, November 13, 2016 by Asfand*

**Calculus**

A ladder a = 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of b = 4 feet/second. Consider the triangle formed by the side of the house, the ladder, and the ground. Find the rate at which the area of the ...

*Saturday, November 12, 2016 by Anonymous*

**Calculus**

Suppose that f(x+h)-f(x) =-4 h x^2 - 1 h x + 4 h^2 x + 3 h^2 -3 h^3. Find: f^1(x)

*Saturday, November 12, 2016 by Amy*

**calculus**

if y is a function of x and x=e^t/(e^t+1) show that dy/dt=x(1-x)dy/dx help me plz

*Friday, November 11, 2016 by fui*

**calculus**

Could somebody help my find the critical points for y=(x-3)(x+2)^(2/3). When I take the derivative of the function I get is x=-2,3. But when I put the original function in wolfram alpha there is minimum at x=0

*Friday, November 11, 2016 by Po*

**Calculus**

The number of people expected to have a disease in t years is given by y(t) = A.3^(t/a) (i) If now (year 2016) the number of people having the disease is 1000, find the value of A. (ii) How many people are expected to have the disease in five years? (iii) When are 100,000 ...

*Friday, November 11, 2016 by Muhammad*

**Calculus**

Two ants, red ant and black ant, creeping along lines in 3-space. At time t, red ant is at point on the line x=3-t , y-2=2t , z-2t=6 and at the same time t, black ant is at the point on the line 2x=t , y-3t=2 , z=2+t a) Find the starting distance between red and black ants ...

*Friday, November 11, 2016 by Muhammad*

**Calculus**

True/false: x^2-3 is concave up on the interval (-1,1) The second derivative of x^2-3 is just 2. How do I determine concavity of a function when I can't set it equal to 0? And then how do I answer this question when it's asking for a specific interval?

*Friday, November 11, 2016 by James*

**Calculus**

I don't understand how to get q for this problem? The next steps for the problem, you just need to plug q in, but I'm not sure what to do? Do you set revenues equal to expenses? Problem: Revenue is given by R(q) = 750q and cost is given by C(q) = 6000 + 5q2. 1) At what...

*Thursday, November 10, 2016 by Mona*

**Pre-Calculus**

14cos+7=O

*Thursday, November 10, 2016 by jay*

**pre-calculus**

create a p(x) with the following conditions: A) Vertical asymptotes at x=5 and x=-2 B) A double root x=-3 C) A horizontal asymptote at y=3

*Thursday, November 10, 2016 by Cy'Anne*

**Calculus**

If the volume of a cube is increasing at 24 in^3/min and each edge is increasing at 2 in./min, what is the length of each side of the cube? Is this 2 in?

*Thursday, November 10, 2016 by Anonymous*

**CALCULUS**

At noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 4:00 PM?

*Wednesday, November 9, 2016 by Gagan*