Monday

January 23, 2017
**Calculus**

An error in the measurement of the radius of a circle results in an error in the computation of its area. Find and interpret the sensitivity of area (a) of a circle to the measurement of radius, r, when the radius r=2 meters.

*Saturday, October 22, 2016 by jan*

**Calculus**

Can you please help me find the x and y intercepts of this equation. How do I solve this? y= x^2 √9-x^2

*Saturday, October 22, 2016 by Stephanie*

**CALCULUS**

if F(x) = f(xf(xf(x))),where f(1) = 4, f(4) = 6, f '(1) = 4, f '(4) = 5,and f '(6) = 6,find F '(1).

*Saturday, October 22, 2016 by Gagan*

**calculus**

Union membership as a percentage of the labor force can be modeled by M(x) = 0.0003x3 − 0.066x2 + 4.64x − 81, where x is the number of years after 1900,and M is membership as a percentage of the labor force. a. Find the rate at which membership is changing in 1960...

*Friday, October 21, 2016 by lis*

**Math (Calculus)**

Determine if each of the following functions is in Big-O, is Big-Omega and is Big-Theta of x: (Could be multiple) a) f(x)=10 b) f(x)=3x+7 C) f(x)=x^2+x+1 d) f(x)=5log(x) e) f(x)=|x| f) f(x)=x/2 I'm in calc 1 and I have no idea what's it even asking me. Help? Thanks in ...

*Friday, October 21, 2016 by Ray*

**Calculus 2**

A spring has a natural length of 25 meters. A force of 12 newtons is required to stretch the spring to a length of 30 meters. How much work is done to stretch the spring from it's natural length to 40 meters? -I forgot to add the 40 meters part to my other question here is...

*Friday, October 21, 2016 by chase*

**calculus 2**

A spring has a natural length of 25 meters. A force of 12 newtons is required to stretch the spring to a length of 30 meters. How much work is done to stretch the spring from it's natural length?

*Friday, October 21, 2016 by chase*

**Calculus**

Let f be a function with second derivative given by f''(x)=sin(2x)-cos(4x). How many points of inflection does the graph of f have on the interval [0,10]? (A)Six (B)Seven (C)Eight (D)Ten (E)Thirteen

*Friday, October 21, 2016 by Mike*

**Calculus**

differentiate the given function, simplify your answer by leaving no negative or rational exponents. final answer should be in factored form where possible. y=(x^2 +2x)^3(x+2)

*Thursday, October 20, 2016 by matt*

**Calculus**

A nut store sells 200 bags of almonds per month at a price of $5 per bag. For every $0.20 decrease in the price, the store sells five more bags per month. Determine the marginal revenue when 120 bags are sold.

*Thursday, October 20, 2016 by Matt*

**Calculus**

f(x, y) = 3ycos x, 0 ≤ x ≤ 2π Finding the locla minima, maxima, and saddle points. Having difficulty as so far I have: Fx = -3ysinx Fy = 3cosx Fxx = -3ycosx Fyy = 0 Fxy = -3sinx I have set both Fx and Fy equal to 0 but am not too sure about the critical points...

*Wednesday, October 19, 2016 by OscarEE*

**Calculus**

A nut store sells 200 bags of almonds per month at a price of $5 per bag. For every $0.20 decrease in the price, the store sells five more bags per month. Determine the marginal revenue when 120 bags are sold.

*Wednesday, October 19, 2016 by matt*

**Calculus**

The demand function for a bottle of hand lotion is p(x)=0.78+0.0003x, where x is the number of bottles sold and p is the price, in dollars. The cost function is c(x)=480-0.32x+0.0005x^2. Find the marginal profit when 700 bottles of hand lotion are sold.

*Wednesday, October 19, 2016 by matt*

**Calculus**

Determine the coordinates of the point on the graph of f(x)=3x^2-7x+4 where the tangent line is parallel to the line 5x+y=3

*Wednesday, October 19, 2016 by matt*

**Calculus**

find the point, (c,f(c)), on f(x)=x^2 in the interval 0≤X≤4, such that f'(c) equals the average rate of change over that interval.

*Wednesday, October 19, 2016 by matt*

**Calculus**

Determine the equation of the tangent to f(x)= (1/x)+x at the point (1,2)

*Wednesday, October 19, 2016 by matt*

**calculus**

lim f(x)=? x->3- f(x); -3.7, -3.97, -3.997, -3.9997, ?

*Wednesday, October 19, 2016 by lis*

**calculus**

Locate the discontinuities of the function y=(5)/(3+e^(1/x))

*Wednesday, October 19, 2016 by marisa mecham*

**Calculus**

The function f is continuous on the open interval (-π, π). If f(x)=cos(x)-1/xsin(x) for x≠0, what is the value of f(0)?

*Wednesday, October 19, 2016 by Mike*

**Calculus**

A water trough is 5 m long and has a cross-section in the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 70 cm wide at the top, and has height 40 cm. If the trough is being filled with water at the rate of 0.2 m3/min how fast is the water level rising when ...

*Tuesday, October 18, 2016 by Audrey*

**Calculus integrals**

(e^(3x)-2e^(2x)+(5e^x))/(e^x+1) how do I do this what is the techniques??

*Tuesday, October 18, 2016 by byu*

**Calculus**

A right circular cone has a volume of cubic inches. What shape should it be in order to have the smallest lateral surface area? Find the result of the volume is V cubic inches.

*Tuesday, October 18, 2016 by Ms_Da*

**Calculus**

A right circular cone has a volume of 100 cubic inches. What shape should it be in order to have the smallest lateral surface area? Find the results of the volume is V cubic inches.

*Tuesday, October 18, 2016 by Ms_Da*

**Calculus**

Let f be a differentiable function defined on the closed interval [a,b] and let c be a point in the open interval (a,b) such that I.f'(c)=0 II.f'(x)>0 when a≤x<c III.f'(x)<0 when c<x<≤b Which of the following statements must be true? (A)f...

*Monday, October 17, 2016 by Mike*

**Calculus**

If the functions f and g are defined for all real numbers and f is an antiderative of g, which of the following statements is NOT necessarily true? (A)If g(x)>0 for all x, then f is increasing (B)If g(a)=0, then f(x) has a horizontal tangent at x=a (C)If f(x)=0 for all x, ...

*Monday, October 17, 2016 by Mike*

**calculus**

A running circuit is to be constructed in the shape of a rectangle with two semicircles attached at the east and west ends of the path (see figure). A picnic area will be set in the center of the circuit. If we want the total length of the circuit to be 2000 m (2km ), what ...

*Monday, October 17, 2016 by Jo*

**calculus**

A printed page is to have 1 in. margin on all sides. The page should contain 80 sq. in. of type. What dimensions of the page will minimize the area of the page while still meeting the other requirements?

*Monday, October 17, 2016 by Jo*

**Calculus**

Suppose f(x) and g(x) are functions of x differentiable at x = 4. Given that f(4) = 3, f'(4) = -2, g(4) = 6, g'(4) = -5, find the value of each of the following. a. Derivative of f(x) * g(x) My answer: -27 b. Derivative of (f(x))/(g(x)) My answer: 1/12 c. Derivative of...

*Sunday, October 16, 2016 by Anonymous*

**calculus**

5.In a certain state the maximum speed permitted on freeways is 65 km/h and the minimum speed is 40 km/h. The fine for violating these limits is Rs.15 for every kilometer per hour above the maximum speed or below the minimum speed. Express the amount of the fine as a function ...

*Sunday, October 16, 2016 by Anonymous*

**calculus**

For each of the following limits, determine the indicated limit if it exists. lim f(x)=? x approaches 4 from the left f(x)= -3.9997

*Sunday, October 16, 2016 by tor*

**Calculus**

Suppose f(x) and g(x) are functions of x differentiable at x = 4. Given that f(4) = 3, f'(4) = -2, g(4) = 6, g'(4) = -4, find the value of each of the following. a. Derivative of f(x) * g(x) My answer: -27 b. Derivative of (f(x))/(g(x)) My answer: 1/12 c. Derivative of...

*Saturday, October 15, 2016 by Anonymous*

**Calculus**

A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $11 the average attendence has been 27000. When the price dropped to $10, the average attendence rose to 34000. Assume that attendence is linearly related to ticket price. What ticket ...

*Saturday, October 15, 2016 by Mia*

**Calculus**

I need help determining whether the following functions are even, odd, or neither. Please help me. 1. f(x)=4x+5 2. f(x)=x^3-x-2 3. f(x)=x^4-x / x^5-x 4. f(x)= x^3-x / x^5

*Saturday, October 15, 2016 by Stephanie*

**Calculus**

Lim (√(3-x) - √(3+x)) /x x->0

*Saturday, October 15, 2016 by matt*

**Calculus**

Lim √(3-x) - √(3+x) x->0 x

*Saturday, October 15, 2016 by matt*

**Integrals calculus**

7/x^2-8 does it give you 7ln(x^2-8)

*Saturday, October 15, 2016 by Nuhsj*

**calculus**

(Compute all instantaneous rate of change using the limit of the difference quotient) 2) A football's path is represented by the function h(t)=-4.9t^2 +10t+2, where h is its height, in meters, after t seconds. Find the rate of change of the football's height at 1s.

*Saturday, October 15, 2016 by matt*

**Calculus**

Determine the average rate of change of f(x)=1/(x^2 -x) over the interval 2 is less then or equal to x and 3 is greater or equal to x.

*Saturday, October 15, 2016 by matt*

**Pre-calculus**

Evaluate sin16Â° cos29Â° + cos16Â° sin29Â°

*Saturday, October 15, 2016 by Liv*

**Pre-calculus**

Evaluate sin 7pi/12. Using sum, difference, and cofunction identities

*Saturday, October 15, 2016 by Liv*

**Pre-calculus**

Find the acute angle between the lines 2x-3y-6=0 and x+5y-20=0

*Saturday, October 15, 2016 by Liv*

**Pre-calculus**

Derive an identity that transforms sin(α+β+γ) into a sum of products of sines and/or cosines of the individual numbers α, β, γ.

*Saturday, October 15, 2016 by Liv*

**Pre-calculus**

If sin x=-3/5 and sec x>0, find all the other circular function values of x

*Saturday, October 15, 2016 by Liv*

**Calculus**

The percentage of research articles in a prominent journal written by researchers in the United States can be modeled by A(t) = 25 + (36/1 + 0.6(0.7)^−t'), where t is time in years (t = 0 represents 1983). Numerically estimate lim as t→+infinity A(t).

*Thursday, October 13, 2016 by Kahi*

**calculus**

A spherical balloon is being inflated so at the rate of 8cm3/sec. determine the rate at which the radius of the balloon is changing when the radius is 10

*Wednesday, October 12, 2016 by ec*

**Calculus**

A ball is thrown vertically into the air so that its height s after t seconds is given by the equation, s=-1/27(t^2)+4√t. Find its maximum height.

*Tuesday, October 11, 2016 by Glen*

**Calculus**

Find the volume of the solid under the plane 3x + 3y − z = 0 and above the region bounded by y = x and y = x^4

*Tuesday, October 11, 2016 by Anon*

**Calculus**

Find the volume of the given solid. Under the surface z = 7xy and above the triangle with vertices (1, 1), (4, 1), and (1, 2)

*Tuesday, October 11, 2016 by Anon*

**Differential Calculus**

A conical tank with height is 10 and radius is 5 is being filled with water at 4m^3/s. Solve how fast is the water when = 3m

*Tuesday, October 11, 2016 by Jervis*

**Pre-Calculus**

A hemispherical bowl with a 30-centimeter radius contains some water, which is 12 centimeters deep. Find the volume of the water.

*Monday, October 10, 2016 by Danny*

**Calculus I**

y = x^3 - 8x^2 + 6x -2 has a slope of 6 at two points, what are the coordinates? I did the power rule to derive the equation: y'= 3x^2 - 8x + 6 , and then I tried to factor it to find the x intercepts but it doesn't work. But anyway, my point of confusion is where does...

*Monday, October 10, 2016 by Angie*

**Calculus**

I want to know how to find the local linearization. So in this problem I'm doing, I'm given the f(x) equation and it says "about x = 0" I'm suppose to approximate value of f(0.3) Are there specific steps I need to take to go about this problem?

*Monday, October 10, 2016 by Joseph*

**calculus**

Find the slope of the tangent line to the curve (sqrt(4x+y))+(sqrt(3xy)) at the point (3,4) The slope of the tangent line to the curve at the given point is ? I got -((1/2)+4sqrt(36))/((1/8)+3sqrt(36))

*Monday, October 10, 2016 by brie78*

**Calculus**

If x=2cos (z) and y= sin (z), then d^2y/dx^2=? What I got -sin (z) / -8cos (z)*sin (z) simplifies to 1/8cos (z) I don't think I'm right...

*Monday, October 10, 2016 by Liam*

**calculus**

Use implicit differentiation to find the derivative of the family of curves sin(xy)+x5+y5=c. dy/dx=? I got (-5x^4-ycos(xy))/(xcos(xy)+5y^4)). what am I doing wrong? Help please

*Monday, October 10, 2016 by ang123*

**Calculus**

an experimental farm has 3600 ft. of fencing to create a rectangular area that will be subdivided into 4 equal subregions, what is the largest total area that can be enclosed?

*Monday, October 10, 2016 by Joanna*

**Calculus I**

You are watching the Chicago marathon from your friend's apartment, 100 feet above the street. A runner passes the building at 11 feet/sec. Let d denote the distance between the base of the building and the runner, and let h denote the distance between you and the runner. ...

*Sunday, October 9, 2016 by Chris*

**Physics**

Hello, I need that someone help me with this excersise. I have to calculate (USING INTEGRATION) the motion ecuation of a particle. The excersise give me the ecuation of the velocity that is v=14t-32 , the initial time t1=3 And the initial position of the particle: X1=25 My ...

*Sunday, October 9, 2016 by Arthur*

**Calculus, Related Rates**

At 12 noon ship A is 60 miles west of point P steaming east at 15 knots and ship B is 36 miles south of P steaming north at 10 knots. If the ships continue their courses and speed. how is the distance between them changes at 2pm? At what time the ships are closest? The answers...

*Sunday, October 9, 2016 by Ngoc*

**Calculus - Approximation**

Use linear approximation, i.e. the tangent line, to approximate cubed root { 1.1 }. The equation of the tangent line to f(x) at x = 1 can be written in the form y = mx+b. Show your work. Do not use a calculator.

*Friday, October 7, 2016 by James*

**Calculus**

find the extremum of f(x,y) subject to the given constraint, and state wether it is a maximum or minimum. 4y^2-29x^2; 3x+y=21

*Friday, October 7, 2016 by Ron*

**Math - Calculus 1**

Approximate using derivatives. (Must show work using derivatives!) Do not use a calculator: (1.1)^4 - (1.1)^2

*Friday, October 7, 2016 by James*

**Calculus - Related Rates**

Suppose that you are watching a spaceship take off. You are 100 meters from the launch pad, and you measure the angle made by the rocket and the ground to be increasing at a rate of (d)(theta)/dt = 0.1 radians per second. What is the velocity of the rocket when theta = pi/4?

*Friday, October 7, 2016 by James*

**Math - Calculus 1**

Approximate the following value using derivatives (without a calculator) (1.1)^4 - (1.1)^2 I only know how to do linear approximation when using square roots. How do I do this type of problem?

*Friday, October 7, 2016 by Jamie*

**calculus**

use Simpson's with n=10 to approx. f(x)= x sin x, 0Â¡Ãœ x Â¡Ãœ2Â¦Ã round to 6 decimal places I know I set up the calculation correctly like this: (pi/15)(f(0)+4f(pi/5)+2f(2pi/5)+...+2f(8...

*Thursday, October 6, 2016 by Alex*

**Calculus 1**

Rick has 1200 feet of fence that he wants to use to enclose a rectangular garden. Find the maximum area the garden can have.

*Thursday, October 6, 2016 by SAM*

**Pre-Calculus**

Given Tan(A) = 5 in Quadrant III and Sin(B) = ⅔ in Quadrant II, find Cos(A-B).

*Thursday, October 6, 2016 by Iris*

**Pre-Calculus**

Given Sin(A) = ⅗ and Cos(B) = 8/17 in Quadrant I, find Cos(A+B).

*Thursday, October 6, 2016 by Sade*

**Pre-Calculus**

Given Sin(A) = ⅗ and Cos(B) = 8/17 in Quadrant I, find Sin(A+B).

*Thursday, October 6, 2016 by Iris*

**calculus**

find the minimum distance from the point (4,1) to the parabola y^2=4x.

*Thursday, October 6, 2016 by lj*

**calculus**

12. (1 point) The height y (in feet) of a ball thrown by a child is y = − 1 16 x 2 +4x+5 where x is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the childâ€™s hand? (b) What is the ...

*Wednesday, October 5, 2016 by ty*

**Pre-Calculus**

A.Verify the identity. B.Determine if the identity is true for the given value of x. Explain. [cot(x) â€“ 1] / [cot(x) + 1] = [1 â€“ tan(x)] / [1 + tan(x)], x = π/4 I solved A and I believe it's true; however, I need help with B.

*Wednesday, October 5, 2016 by Iris*

**Pre-Calculus**

A.Verify the identity. B.Determine if the identity is true for the given value of x. Explain. Sec(x) / tan(x) = tan(x) / [tan(x) â€“ cos(x)],x = π I already solved A and I believe it's true; however, I need help with B.

*Wednesday, October 5, 2016 by Iris*

**calculus**

Beast Mode Question: I am seating in one of the corners of the room when the time was exactly 12:30PM. I was decided to go to the other corner of the room at 12:35. I go outside of the room when the sun was directly ahead of me. Find the inclination of the sun at 2:00PM with ...

*Tuesday, October 4, 2016 by beast mode question*

**Calculus**

Sketch a rough graph of the yield of a crop as a function of the amount of fertilizer used. I do not know what to do, can someone guide me?

*Monday, October 3, 2016 by Johanna*

**Calculus II**

If f(x) - x cos (x), how many intervals would be needed to approximate with the Trapezoidal Rule with an error of E<.01?

*Monday, October 3, 2016 by Scott*

**Calculus**

find the intervals on which f is increasing and decreasing f(x)=(x-2)/(X^2-x+1)^2 I found the derivative a got a whole mess of things: ((x^2-x+1)^2-2(x^2-x+1)(2x-1)(x-2))/(x^2-x+1)^4 Do I have to use the quadratic formula to solve for the vertices to find where it is ...

*Sunday, October 2, 2016 by Maddy*

**calculus 1**

Find equations of all tangent lines to the graph y=4x3−19x+40 which pass through the point (2,2) (not on the curve).

*Sunday, October 2, 2016 by munir*

**Calculus**

Give an example of a function with a critical point that is neither a maximum nor a minimum. Specify the relevant point(s). This is what I have and this is what I got wrong... A function with a critical point that is neither a maximum nor a minimum would be f(x)=x^2 if F(x) = ...

*Sunday, October 2, 2016 by Mia*

**calculus**

Find the dimensions of the rectangle of maximum area A that can be inscribed in the portion of the parabola y^2=4px intercepted by the line x=a. heres another problem pls help Damon!!! Graph it if possible

*Sunday, October 2, 2016 by zeff*

**calculus**

Match club charges annual membership dues of 100 pesos per member, less 0.50 cantavo for each member over 600 and plus 0.50 centavo for each member less than 600. How many members should give the club most revenue from annual dues? I'm spamming this question, need quick ...

*Sunday, October 2, 2016 by zeff*

**calculus**

Match club charges annual membership dues of 100 pesos per member, less 0.50 cantavo for each member over 600 and plus 0.50 centavo for each member less than 600. How many members should give the club most revenue from annual dues?

*Sunday, October 2, 2016 by zeff*

**maths sir-reiny help calculus**

solve the differential equation (x^2-xy+y^2)dy-xydx=0 plz show me working

*Saturday, October 1, 2016 by samuel*

**Calculus**

Hello! I need help with this problem, its been irritating me for days! Any help would be greatly appreciated! Hereâ€™s the question.. The minute hand on a watch is 8 mm long and the hour hand is 4 mm long. How fast is the distance between the tip of the hands ...

*Friday, September 30, 2016 by Mia*

**calculus help**

y=cosxcosy-sinxsiny/sinxcosy+cosxsiny find dy/dx plz show me working

*Friday, September 30, 2016 by philip*

**Calculus**

What type of discontinuity is this? f(x) = 2x+8,x<4 and x^2,x>4 I think it's a point discontinuity.

*Friday, September 30, 2016 by Anonymous*

**Pre-Calculus**

This question has me stuck. Use the Pythagorean identity sin^2 Θ + cos^2 Θ = 1 to derive the other Pythagorean identities, 1 + tan^2 Θ = sec^2 Θ and 1 + cot^2 Θ = csc^2 Θ. Discuss how to remember these identities and other fundamental identities.

*Thursday, September 29, 2016 by Iris*

**Pre-Calculus**

tan theta = 1/2, what's sec theta?

*Thursday, September 29, 2016 by Jade*

**Pre-Calculus**

csc theta = sqr root of 5, what is cot theta?

*Wednesday, September 28, 2016 by Jade*

**Calculus**

Write the equations of the circle in general form. 1. Points on circle (0,0), (0,8), (6,0) 2. Points on circle (1, -1), (2, -2), (0,-2). I don't know how to solve this given the fact that I don't know what the center or the radius of the circle is.

*Wednesday, September 28, 2016 by Stephanie*

**pre-calculus**

sine theta = 1/3 and cos theta = 2/3, find tan theta

*Wednesday, September 28, 2016 by Meilani*

**pre-calculus**

sin theta = 1/4, find sin (-theta)

*Wednesday, September 28, 2016 by Meilani*

**Pre-Calculus**

csc theta = (sqr root 5) over 15, find sine theta

*Wednesday, September 28, 2016 by Sam*

**Math (calculus 3)**

A football is thrown down the field by a quarterback from a height of 1 foot with an initial velocity of 40 feet per second at angle of pi/6 radians. If a receiver catches the ball downfield at a height of 1 foot above ground; a) How long was the ball in the air? b) What was ...

*Wednesday, September 28, 2016 by Albert*

**AP Calculus**

A particle is moving along a horizontal straight line. The graph of the position function (the distance to the right of a fixed point as a function of time) is shown below. Answer the following questions only on the interval (0,8). 1. When is the particle moving toward the ...

*Wednesday, September 28, 2016 by Korinna*

**Calculus**

Thank you - (Enter your answers using interval notation. If an answer does not exist, enter DNE.) y = 4x + [5/sin x], (−π, π) concave upward (x,y)- concave downward (x,y)-

*Wednesday, September 28, 2016 by Wendy*

**calculus help me**

help find dy/dx if y=cot(x+y) working plz

*Wednesday, September 28, 2016 by remirez*

**Calculus**

1. Use a graph to estimate the limit. Use radians unless degrees are indicated by θÂ°. (Round your answer to four decimal places.) lim θ → 0 θ/tan(7θ) 2. Assuming that limits as x → ∞ have the properties for limits as x → c...

*Wednesday, September 28, 2016 by jen*

**Pre-Calculus**

If csc theta = square root of 5 divided by 15, find sin theta

*Tuesday, September 27, 2016 by Sam*

**Calculus**

Find an equation of the tangent line to the graph of f at the given point. f(x) = x + (4/x), (4,5) I tried using the limit process a lot, but it didn't quite work. If possible, please use the limit process. Thanks a lot to whoever answers this question.

*Tuesday, September 27, 2016 by Tyler*