# Homework Help: Math: Calculus

## Recent Homework Questions About Calculus

**Pre-calculus**

Evaluate sin16° cos29° + cos16° sin29°

*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 the ...

*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. How ...

*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, 0¡Ü x ¡Ü2¦Ð 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(8pi/5)+4f(9pi/5)+f(2pi) I keep getting a negative answer but I know that the answer ...

*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 child’s hand? (b) What is the maximum height of ...

*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) – 1] / [cot(x) + 1] = [1 – 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) – 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 answer...

*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! Here’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 changing at 10:00...

*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 θ°. (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, use ...

*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*

**Pre-Calculus**

Find two exact values of theta in degrees (0 less than or equal to theta < 360°) if cos theta = -(square root of 2)/2.

*Tuesday, September 27, 2016 by Sade*

**Pre-Calculus**

Use a calculator to approximate two values of theta (0 <= theta < 2pi) if csc theta = 1.03. Round answer to two decimal places.

*Tuesday, September 27, 2016 by Sade*

**Pre-Calculus**

Use a calculator to approximate two values of theta (0 <= theta < 2pi) if csc theta = 1.03. Round answer to two decimal places.

*Tuesday, September 27, 2016 by Sade*

**calculus help plllllz**

if you go with the right substitution ∫[{(1-sin(x))/(1+sin(x))}{(2-sin(x))/(2+sin(x))}] dx plz show me solution

*Monday, September 26, 2016 by rapheal*

**calculus help me pllllllllllz**

Find out what kind of improper integral is given below §dx/{x^4+4}....?,hence evaluate the integral with upper boundary=infinity lower boundary =0 i need help plz show me full work

*Monday, September 26, 2016 by samuel*

**Calculus**

Water is flowing into a hemispherical bowl having a radius of 10cm at constant rate of 3cm^3/min. When the water is x cm deep, The water level rises at a rate of 0.0149 cm/min. What is the value of x?

*Monday, September 26, 2016 by Francois*

**Calculus**

Construct a function f : R 2 ¡æ R such that its saddle points are given by {(n, 2m+1−n)|n ¡ô Z, m ¡ô Z}, where Z is the set of integers.

*Monday, September 26, 2016 by Dave*

**calculus**

plz help show me steps solution evaluate the integral §dx/[(x+1)root(1-x^2)]

*Monday, September 26, 2016 by dam*

**Calculus**

Evaluate the limit using algebraic techniques. limit of (x^2 - 25)/(x^2 - 4x - 5) as x approaches 0. How do I do this?

*Sunday, September 25, 2016 by Anonymous*

**Calculus**

Find the set of points that the following function is continuous at them . f(x)= { (2x+1)/(x+3) if x<0 (√(x+4)-2)/2x^2-3xx if x>0 -1/3 if x=0

*Sunday, September 25, 2016 by Emily*

**Calculus**

Find all the values of a and b in such a way that f is continuous function on its domain. f(x)= { (√x+a)+1 if -a ≤x ≤ 0 2x^2+3 if 0 ≤ x ≤ 1 (x+b)^2+1 if x>1

*Sunday, September 25, 2016 by Emily*

**calculus help**

if y^3=6xy-x^3-1 show that the maximum value of y occurs where x^3=8+2sqrt(14)

*Friday, September 23, 2016 by samson*

**Calculus**

Even after looking up how to do this and reading about it I still don't know how to find the slope of curve or the deritives . Please help solve these problems. 1. Y =x^3 p(-1, -1) 2. Y = x^4 /2 p(-1 , 1/2) 3. Y= 8x^4 -7x^2 +5x + 6 p(-1,2)

*Friday, September 23, 2016 by Stephanie*

**Calculus**

Suppose you know f′(a) = R, a, R > 0. If f is an odd function, what is f(−a)? Explain

*Friday, September 23, 2016 by Mauricio*

**calculus**

a ladder 10m long is leaning against a vertical wall with its other end on the ground. the top end of the ladder is sliding down the wall , when the top end is 6m from the ground it is sliding down at 2m/sec. how fast is the bottom moving away from the wall at this instant?

*Thursday, September 22, 2016 by Paul*

**Calculus**

(kx^2)+m, x<-2 g(x)=e^(ln(2x+3))-2<x<3 kx-m, x>3 Find values of k and m

*Wednesday, September 21, 2016 by Alvin*

**calculus need help**

solve d^2y/dx^2+y=tanx plz help me aldo i was given a link to read on but i cant even acess it just help

*Tuesday, September 20, 2016 by dams*

**maths calculus need help plz**

solve d^2y/dx^2+y=tanx show working plz i don't no it at all

*Tuesday, September 20, 2016 by dams*

**Calculus**

Find a value for k so that the function is continuous. f(x) = {(x^2 + 2x - 15)/(x - 3), x ≠ 3 and 2kx - 4, x = 3 Is k = 2?

*Monday, September 19, 2016 by Anonymous*

**calculus help me asap**

if y^6=tanh^-1(tan^-4(4x^2+y^2)^2)^9 find dy/dx show work....

*Monday, September 19, 2016 by marvin*

**Calculus 2**

A culture of bacteria is growing at the rate of 20e^0.8t cells per day, where t is the number of days since the culture was started. Suppose that the culture began with 50 cells. (a) Find a formula for the total number of cells in the culture after t days. (b) If the culture ...

*Sunday, September 18, 2016 by Alexis*

**Calculus III**

Topic: Quadric surfaces. I have two homework problems, and they are quite a doozy for me. So the point is, I am given details of a quadric surface on the Cartesian coordinate system, and thus have to use the data to construct an equation through it. ====================== Find...

*Sunday, September 18, 2016 by Justin*

**calculus and chemistry**

A container of hot liquid is placed in a freezer that is kept at a constant temperature of 10°F. The initial temperature of the liquid is 160°F. After 5 minutes, the liquid's temperature is 60°F. How much longer will it take for its temperature to decrease to 20°F? (Round ...

*Sunday, September 18, 2016 by Sarah*

**calculus**

A container of hot liquid is placed in a freezer that is kept at a constant temperature of 10°F. The initial temperature of the liquid is 160°F. After 5 minutes, the liquid's temperature is 60°F. How much longer will it take for its temperature to decrease to 20°F? (Round ...

*Saturday, September 17, 2016 by Sarah*

**calculus plz help me**

Show that the numerical value of the radius of curvature at the point (x1, y1) on the parabola y^2=4ax is [2(a+x1)^3/2)]/a^1/2. If c is the centre of the curvature at the origin O and S is the point (a, 0), show that OC=2(OS) plz show me working plz

*Friday, September 16, 2016 by marvin*

**calculus need help**

If 3ay^2=x(x-a)^2 with a>0, prove that the radius of curvature at the point (3a, 2a) is 50a/3. Help with working plz

*Friday, September 16, 2016 by marvin*

**Calculus**

If a ≠ 0, then the limit of (x^2 - a^2)/(x^4 - a^4) as x approaches a is: How do I do this type of problem?

*Thursday, September 15, 2016 by Anonymous*

**Calculus AB**

Please help I'm stuck on this problem for the past hour. Define f(x)= { Ln lx-1l }/x A) show that f(c) is continuous at x=2 B)Where on the interval [-2,2] is f discontinuous? Show the work that leads to your conclusion. C) classify the discontinuities in part b) as removable ...

*Thursday, September 15, 2016 by Annie*

**stats**

Jason, a freshman at a local college, just completed 15 credit hours. His grade report is presented below. Course: Calculus, Biology, English, Music, P.E. Credit Hours 5, 4, 3, 2, 1 Grades C, A, D, B, A The local university uses a 4 point grading system, i.e., A = 4, B = 3, C...

*Thursday, September 15, 2016 by Ana*

**Calculus**

Hello I need help with this excersise of derivative of a inverse function. The excersise says: If f(x+2)=x^3+1 and g(x)=f(arctg x), find the derivative of the inverse function of g(x) and then calculate (g^-1 (9))'[the derivative of the inverse function evaluated in 9] . I don...

*Wednesday, September 14, 2016 by Mary*

**Pre-Calculus 11**

Two positive numbers x and 1-x add up to 1. Let the sum of their reciprocals be k. Find the only possible value of k such that x is a rational number. Hint: set up the equation and solve x with k in it. You'll encounter the quadratic formula in your solution.

*Wednesday, September 14, 2016 by Shawn*

**Pre-Calculus/Math**

a slow growing population of animals increases with time (years). the size of the population is given by P(t)=100+0.6t^2-0.004t^3. how fast is the population changing after 10 years?

*Wednesday, September 14, 2016 by Faye*

**Calculus integrals**

Suppose f(x)=∫ (from 0 to x) (t^2-36)/2+cos^2(t) dt. For what value(s) of x does f(x) have a local maximum?

*Tuesday, September 13, 2016 by byu*

**Calculus**

Hello all, I would like some confirmation on a limits question. The limit is as h --> 0, [sqrt [73-5(x+h)] - sqrt (73-5x)]/h I multiplied by the conjugate of the numerator and reduced everything down to this final answer: [(-5)sqrt(73-5x)]/2 Is this correct?

*Tuesday, September 13, 2016 by Tim*

**differential calculus**

A bulldozer costs $120,000 and each year it depreciates 8% of its original value. Find a formula(equation) for the value V of the bulldozer after t years.

*Tuesday, September 13, 2016 by christine*

**Calculus**

Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = 2 i + 6t j + 12t2 k, v(0) = i, r(0) = 2 j − 7 k

*Monday, September 12, 2016 by Anon*

**Calculus**

Find the tangential and normal components of the acceleration vector. r(t) = t i + t2 j + 4t k aT= aN=

*Monday, September 12, 2016 by Anon*

**Calculus**

I am sure this is the last time i am bothering you steve for today! you are very helpful. 1) I have to find the population density i which r is 0.2 apart and distance is 1.2km so there are total 7 values from 0 to 1.2 , i am taking right and left end-point approximations and ...

*Monday, September 12, 2016 by Asfand*