# Homework Help: Math: Calculus

## Recent Homework Questions About Calculus

**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*

**Calculus**

The curves r1(t) = 5t, t^2, t^4 & r2(t) =sin t, sin 4t, 3t intersect at the origin. Find their angle of intersection, θ, correct to the nearest degree.

*Monday, September 12, 2016 by Anon*

**Calculus**

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 5 ln t, y = 8sqrt(t), z = t^5 (0,8,1) (x(t),y(t),z(t))=( )

*Monday, September 12, 2016 by Anon*

**Calculus**

Sir i need help in two questions, i am stuck ! 1) Calculate the population within a 7mile radius if the radialpopulation density is 6(3+r^2)^1/3 ? Use decimal notation and aswer should be in million. 2) Find the volume of solid obtained by rotating the region enclosed by y=x^2...

*Monday, September 12, 2016 by Asfand*

**Math**

In Marissa's calculus course, attendance counts for 10% of the grade, quizzes count for 20% of the grade, exams count for 55% of the grade, and the final exam counts for 15% of the grade. Marissa had a 100% average for&#...

*Monday, September 12, 2016 by Anonymous*

**Calculus**

Find the average interval of function 3x^3-12x^2 on the interval [-5,4]? My answer is 114.75 but when i put it on submission , it tell me that its wrong not sure why kindly help and tell me right answer

*Monday, September 12, 2016 by Asfand*

**Calculus**

Hello, I need help with this limit: Lim ((arctanx-x)/x^3) X->0 I can't use L'Hospital Rule or series. I don't get what to do. Can you give an idea?

*Monday, September 12, 2016 by Mary*

**Calculus**

Engr. Ramos is walking at the rate of 5m/sec along the diameter of of a circular courtyard. A light at one end of a diameter perpendicular to his path casts a shadow on the circular wall. How fast the shadow from the man to the center of the courtyard is 1/2 r ,where r is the ...

*Sunday, September 11, 2016 by Natasha*

**Calculus**

The function f relates state variables f:Q↦S according to a power function f(x)=Axp. For each state, give the corresponding equation involving the parameters A and p. (Q,S)=(6,11) implies ____=_____ (Q,S)=(5,19) implies ______=_____

*Sunday, September 11, 2016 by Terrance*

**Calculus 1**

sand is being poured onto the ground forming a conical pile whose height equals 1/4 of the diameter of the base. The sand is falling at a rate of 20cm^3/sec. How fast is the height of the sand pile increasing when it is 3cm high?

*Saturday, September 10, 2016 by ben*

**Calculus 1**

sand is being poured onto the ground forming a conical pile whose height equals 1/4 of the diameter of the base. The sand is falling at a rate of 20cm^3/sec. How fast is the height of the sand pile increasing when it is 3cm high?

*Saturday, September 10, 2016 by Khan*

**Pre-Calculus**

The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 5 minutes? If necessary, round the answer to two decimal places.

*Saturday, September 10, 2016 by Chris*

**Calculus**

The following equation defines y as a function of x. −5xy−3x=−6y

*Friday, September 9, 2016 by Zach*

**Calculus**

An airplane takes off from an airport at sea level and climbs at the constant rate of 5m/s . The outside air temperature T varies with altitude h according to the law T=15-0.0065h where T is measured in degree Celsius and h in meters above sea level . Find the rate of change ...

*Friday, September 9, 2016 by Anonymous*

**Calculus**

How do I solve this problem without integrals or derivatives? Find the distance traveled in 14 seconds by an object that is moving with a velocity of v(t) = 11 + 6cos t feet per second. A. 154.8204 B. 156.1704 C. 159.9436

*Thursday, September 8, 2016 by Anonymous*

**Calculus integrals**

Find the value of the right-endpoint Riemann sum in terms of n f(x)=x^2 [0,2]

*Wednesday, September 7, 2016 by byu*

**Calculus**

I really need help. Create an appropriate table of values for the function f(x)=tan3x/7x and use the reslut to estimate lim as x approaches 0 tan3x/7x

*Wednesday, September 7, 2016 by Mary*

**Calculus**

An electric circuit switches instantaneously from a 5 volt battery to a 18 volt battery 3 seconds after being turned on. Sketch on a sheet of paper a graph the battery voltage against time. Then fill in the formulas below for the function represented by your graph. for t < ...

*Tuesday, September 6, 2016 by Jordan*

**Calculus**

a) Find parametric equations for the line through (4, 1, 4) that is perpendicular to the plane x − y + 2z = 7. (Use the parameter t.) b) In what points does this line intersect the coordinate planes? xy-plane? yz-plane? xz-plane?

*Monday, September 5, 2016 by Anon*

**Calculus**

Consider the following planes. 5x − 4y + z = 1, 4x + y − 5z = 5 a) Find parametric equations for the line of intersection of the planes. b) Find the angle between the planes

*Monday, September 5, 2016 by Anon*

**Calculus**

Find (a cross b)dot product a? & Find the cross product(a × b) dot product b? a = 1, 1, −1 b = 4, 8, 10

*Monday, September 5, 2016 by Anon*

**Calculus**

I can not seem to get this right Find an equation of a sphere if one of its diameters has endpoints (5, 5, 5) and (7, 7, 7).

*Monday, September 5, 2016 by Anon*

**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).

*Monday, September 5, 2016 by Sarah*

**math**

Y=Ax^2+Bx has agradient of 7 at the point (6,8) ,find the constant numbers of A and B ? *calculus*

*Monday, September 5, 2016 by A.rahman*

**Differential Calculus**

A water trough is 10 m long and a cross section has the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. If trough is being filled with water at the rate of 0.2 m^3/min how fast is the water level rising when the ...

*Monday, September 5, 2016 by GRAY*

**Calculus**

Write the equation of the sphere in standard form. x2 + y2 + z2 + 4x − 2y − 2z = 19

*Sunday, September 4, 2016 by ANON*

**calculus**

Determine the points in the interval (0, 2π) at which the graph of the function below has a horizontal tangent line. f(x) = 10 cos x + 5 sin 2x There should be three

*Sunday, September 4, 2016 by Sarah*

**calculus**

The graphs of f and g are shown. Let h(x) = f(g(x)) and s(x) = g(f(x)). f(-1)= 4 f'(x)=1 g(-1)=5 g'(-1)=-1/2 f(8)= 6 f'(x)= 2 g(x)= 2 g'(x)=-1/2 (a) Find h'(−1). (b) Find s'(8).

*Sunday, September 4, 2016 by Sarah*

**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).

*Sunday, September 4, 2016 by Sarah*

**calculus**

Find the vertical tangents of f(x)=10 cos x + 5 sin 2x

*Sunday, September 4, 2016 by Sarah*

**Calculus**

Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(0, 1, 3), B(-2, 4, 5), C(1, 4, -3), ∠CAB = ° ∠ABC = ° ∠BCA = °

*Sunday, September 4, 2016 by ANON*

**Calculus**

State the domain and range of the function f(x) = 2sin(sqrt(3x-1)) + 3 Why is this so difficult?

*Saturday, September 3, 2016 by Linda*

**Calculus**

log base 4 of 8/log base 8 of 16 question is to simplify can you rewrite it this way? 4^x = 8 --------- 8^x = 16

*Saturday, September 3, 2016 by Linda*

**Calculus**

e^(1+2lnx) ----------- x^2 simplify

*Saturday, September 3, 2016 by Linda*

**Calculus**

If g(X) = 2+ln(x-5), find the inverse function, (g^(-1))(x) Solution: y = 2+ ln(x-5) e^y = 2 + x - 5 x = e^y + 3 y = e^x + 3 g^(-1) = y = e^x + 3 Is that right? I'm following an example - but don't really get it - how do I determine the domain and range - I know they flip when...

*Saturday, September 3, 2016 by Linda*

**Calculus**

Find the zero(es) of f(x) = (e^(7-2x)) - 1

*Saturday, September 3, 2016 by Linda*

**math/Calculus**

If h(x) = csc(x), find the inverse h^(-1)(x). express answer in terms of sin^(-1), cos^(-1) or tan^(-1) Don't know where to start -

*Saturday, September 3, 2016 by Linda*

**Calculus**

Hi, please I need help with this demonstration: If “f” , “g” :[ 0,1]→R are continuous functions, they are differentiable in (0,1), f(0)=0, g(0)=2 and │f ‘ (x)│≤1 ,│g ‘ (x)│≤1 for the interval (0,1). Prove that f(x) < g(x...

*Saturday, September 3, 2016 by Jane*

**Calculus**

Integral of (3^x)(e^x)dx

*Thursday, September 1, 2016 by Alexa*

**Calculus**

Evaluate using tabular method: integral e^(2x)cos3xdx

*Thursday, September 1, 2016 by Alice*

**calculus**

find lim 1-2x / 1+6x x -> infinity find lim [ x / ((3+x)^2) -5] x -> infinity

*Wednesday, August 31, 2016 by ellora*

**Pre-calculus**

Find the equation of the locus of the point which moves so that its distance from the point (2,0) is 2/3 its distance from the line y=5.

*Wednesday, August 31, 2016 by Ace*

**Pre-Calculus**

Define the inverse secant function by restricting the domain of the secant function to the intervals (0, pi/2) and (pi/2, pi), and sketch the inverse function’s graph.

*Tuesday, August 30, 2016 by Sade*

**Pre-Calculus**

Which of the following statements best describes the domain of the functions sine and arcsin? A)Sine domain is all real numbers; Arcsin domain is all real numbers. B)Sine domain is restricted; Arcsin domain is all real numbers. C)Sine domain is all real numbers; Arcsin domain ...

*Tuesday, August 30, 2016 by Iris*

**Calculus**

a cone has an altitude of 12 cm and a base radius which increases at the rate of 3 cm per minute. When the radius is 6 cm,how fast is the vertex angle increasing?

*Tuesday, August 30, 2016 by Natasha*

**calculus**

find the area of the parallelogram that has vectors as adjacent sides u = -2i +j +5k v = 4i -3j -3k

*Tuesday, August 30, 2016 by jameson*

**calculus**

find the triple scalar product u . (v * w) for the vectors u= (5, 9, -6) v= (5, 8, -1) w= (-2, 8, 3)

*Tuesday, August 30, 2016 by jameson*

**Pre-Calculus**

Carmen rides her bicycle at a constant rate to the market. When she rides her bicycle back home along the same route, she bikes at three-quarters the rate she biked to the market. At any given time, t, the distance biked can be calculated using the formula d = rt, where d ...

*Monday, August 29, 2016 by P*

**Calculus**

A statue 5m high is standing on a base 8m high. Is an observer's eye is 2.5 m above the ground, how far should he stand from the base of the statue in order that the angle between his lines of sight to the top and bottom of the statue be a maximum.

*Monday, August 29, 2016 by Natasha*

**Calculus**

If θ is an acute angle and tan(θ)=5/12, then sin(θ)=??

*Sunday, August 28, 2016 by Kevin*

**Calculus**

Hello my problem is the next one: g is a function between the interval (a,b)and "p" is a fixed point in (a,b) that`s mean that g(p)=p. If g can be derivated in that interval and /g(x)/<1 to all the interval. Demonstrate using the Mean value theorem that there is ONLY one ...

*Sunday, August 28, 2016 by Arthur*

**calculus**

find the inverse of the matrix. [ 16 1 ] 1 16

*Friday, August 26, 2016 by jessica*

**calculus**

Find the product [ 3 8 ] [ 4 5 ] 6 3 4 4

*Friday, August 26, 2016 by jessica*

**calculus**

Find A - B A = [ 3 7 8 ] 7 9 3 7 9 9 B = [ 2 2 6 ] 6 7 8 5 8 6

*Friday, August 26, 2016 by jessica*

**Pre-calculus**

Plss... help me.. what is the equation of parabola with vertex on the line y=x, axis parallel to Ox, and passing through (6,-2) and (3,4)? thanks!

*Thursday, August 25, 2016 by Ace*

**Calculus**

A spherical balloon is inflated at the rate of 5 cubic feet/minute. What is the volume of the balloon if when the radius is increasing at the rate of 3 feet/minute?

*Thursday, August 25, 2016 by Molly*

**calculus**

Find all first and second partial derivatives of z with respect to x and y if x^2+4y^2+16z^2−64=0.

*Wednesday, August 24, 2016 by andre*

**pre calculus honors**

solve the system if possible | x+y+z = 15 | | < 7x+y+z = 75 | | | 3x+y-z=29 a. x=10,y=2,z=3 b. x=–10,y=–2,z=–3 c. x=3,y=10,z=–3 d. x=12,y=9,z=–3 e. no solution; inconsistent system

*Wednesday, August 24, 2016 by evelyn*

**pre calculus honors**

An object moving vertically is at the given heights at the specified times. Find the position equation s = 12 at^2 + v (small o) t + s (small o) for the object. At t = 1 second, s = 161 feet At t = 2 seconds, s = 98 feet At t = 3 seconds, s = 3 feet a. s=−8t^2−t&#...

*Wednesday, August 24, 2016 by evelyn*

**Calculus**

Solve the following equation on the interval [0,2pi) if sin = -0.29?

*Sunday, August 21, 2016 by Ed*

**Calculus**

Solve lim sin2x using any method. ×>0 ----- 5x I am unaware of what my first step is supposed to be, I know that if I plug in 0 to x, I will receive an answer of 0/0, and that makes my answer indeterminate. So what happens after that?

*Sunday, August 21, 2016 by Leslie*

**Calculus**

Equal squares of side length x are removed from each corner of a 20 inch by 30 inch piece of cardboard, and the sides are turned up to form a box with no top. Write the volume V of the box as a function of x.

*Sunday, August 21, 2016 by Brenna*

**Calculus**

A 100 inch piece of wire is cut into two pieces. Each piece of wire is used to make a square wire frame. Let x be the length of one piece of the wire. Determine an algebraic representation A(x) for the total area of the two squares.

*Sunday, August 21, 2016 by Brenna*

**calculus**

Find lim as (x,y) goes to (0,0) of (e^(-x^2-y^2)-1)/(x^2+y^2).

*Saturday, August 20, 2016 by andre*

**Calculus**

At what points c, if any, does lim x --> c f(x) exist? f(x) ={0, x < -1 {x, -1 ≤ x < 0 {1, x=0 {x, 0 < x ≤ 1 {0, x > 1

*Friday, August 19, 2016 by Gala*

**pre calculus work**

given f(x)= 5x+4/5x^2+4x and g(x) = 1/x a. determine the domains of f(x) and g(x) b. simplify f(x) and find any vertical asymptotes c. explain how the two functions differ I have absolutely no idea how to answer this question - can you please help me to figure it out?!

*Friday, August 19, 2016 by erin*

**calculus**

A particle moves so that its position is given by ⟨cos(t),sin(t),cos(6t)⟩. Find the maximum and minimum speeds of the particle.

*Friday, August 19, 2016 by andre*

**Pre Calculus**

Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer. Having lots of trouble with this...

*Thursday, August 18, 2016 by maria*

**Calculus**

If F(x)=f(g(x)-h(x)), where g(3)=5, h(3)=4, g'(3)=3, h'(3)=1 and f'(1)=10, find F'(3). I know how to do derivatives and all, but I rlly can't figure this question out

*Wednesday, August 17, 2016 by Aa*

**Calculus**

What are the zeroes of the polynomial equation, 𝑦 = 𝑥3 + 3𝑥2

*Wednesday, August 17, 2016 by Jessie*

**Calculus**

This question is killing me! :( Find the total area of the regions enclosed by the relations x=y^3-y+1 and x=-y^3-y^2+1. This is easiest if you integrate over y instead of x. Thank you so much in advance!

*Tuesday, August 16, 2016 by Joana*

**Calculus**

Any help will be appreciated! Find the area of the region between x=-3pi/4 and 5pi/4 in the graph enclosed by f(x)=sinx and g(x)=cosx Thank you!

*Tuesday, August 16, 2016 by Joana*

**calculus**

Find an equation of the plane containing the line of intersection of x+y+z=1 and x−y+2z=2, and perpendicular to the x-y plane.

*Tuesday, August 16, 2016 by andre*

**Calculus**

Hi, could you help me with this one please? Evaluate ∫sin(x)cos^2(x)dx by using the substitution u=sinx Ive done this by using u=cosx no problem but can't get this one :( Thank you so much in advance!

*Tuesday, August 16, 2016 by Natalie*

**calculus**

Do the three points (1,2,0), (−2,1,1), and (0,3,−1) form a right triangle? I think they do by using dot product. Do the three points (1,1,1)(1,1,1), (2,3,2)(2,3,2), and (5,0,−1)(5,0,−1) form a right triangle? I think they don't.

*Sunday, August 14, 2016 by andre*

**calculus**

A force of 10 pounds is applied to a wagon, directed at an angle of 30∘30∘. Find the component of this force pulling the wagon straight up, and the component pulling it horizontally along the ground.

*Sunday, August 14, 2016 by andre*

**Pre-Calculus**

Use a graphing utility to graph the function y = d + a sin (bx - c) for different values of a, b, c, and d. Write a paragraph describing the changes in the graph corresponding to changes in each constant.

*Sunday, August 14, 2016 by Iris*

**Pre-Calculus**

You are given the value of tan Θ. is it possible to find the value of sec Θ without finding the measure of Θ? Explain.

*Friday, August 12, 2016 by Iris*

**Calculus**

The minute and hour hands on the face of a school clock are 8 inches and 6 inches long, respectively. Find the rate of change, in inches per minute, of the distance between the tips of the hands at 9:00.

*Thursday, August 11, 2016 by Matt*

**Calculus**

Find arccos (sqrt2/2). Can this be pi/4 and 7pi/4?

*Thursday, August 11, 2016 by Anonymous*

**Calculus**

Find dy/dx. e^(xy)=sin(x)

*Wednesday, August 10, 2016 by Maggie*

**Calculus 1**

Find the limit. lim x->0 (e^(6/x)+8x)^(x/2)

*Wednesday, August 10, 2016 by Kate*

**Calculus**

Use L'Hoplital's rule to find the limit. Lim x->0 (3-3cos(x))/(sin(4x))

*Wednesday, August 10, 2016 by Sam*

**Calculus**

The velocity of an object is given by the velocity function v(t)=t/42. If the object is at the origin at time t=0, find the position at time t=20.

*Wednesday, August 10, 2016 by Sam*

**calculus**

Find the Maclaurin series of xcos(x^2).

*Sunday, August 7, 2016 by andre*

**Calculus with analytic geometry**

What is the range and domain, x and y intercepts, symmetry and asymptote of this given equation, f(x) = 2x^2 - 8 / x-1

*Sunday, August 7, 2016 by Caren Renz Paredes Condesa*

**Math calculus**

An ice cube is 3 by 3 by 3 inches is melting in such a way that the length of one of its side is decreasing at a rate of half an inch per minute. Find the rate at which its surface area is decreasing at the moment when the volume of the cube is 8 cubic inches

*Sunday, August 7, 2016 by Ashley*

**Calculus - Need help please**

Given the following function, y=tan(pi-3x) 1)determine the interval for the principal cycle. (^ Type your answer in interval notation) 2)Then for the principal cycle, determine the equations of the vertical asymptotes 3)find the coordinates of the center&#...

*Thursday, August 4, 2016 by Mike*

**Brief Calculus**

The demand function for a certain brand of CD is given by p = −0.01x2 − 0.2x + 12 where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. The supply function is given by p = 0.01x^2 + 0.5x + 3 where p is the ...

*Wednesday, August 3, 2016 by Tiffany*

**Brief Calculus**

The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p = −0.01x2 − 0.3x + 10 ...

*Wednesday, August 3, 2016 by Tiffany*

**Calculus1**

find the derivative using fundamental theorem of calculus integral of sin^3tdt from e^x to 0

*Wednesday, August 3, 2016 by Anonymous*

**calculus**

Campbell’s Soup Company requires that is its tomato soup containers have a capacity of 64 in^3 , have the shape of a circular cylinder, and be made of aluminum. Determine the radius and height of the container that requires the least amount of metal.

*Tuesday, August 2, 2016 by maggie*

**calculus**

Suppose that an arrow was fired vertically upward from a crossbow at ground level and that it struck the ground 20 seconds later. If air resistance may be neglected, find the initial velocity of the bolt and the maxim altitude that it reached.

*Tuesday, August 2, 2016 by maggie*

**Calculus**

Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = x^2 − 4x + 1 and y = −x^2 + 4x − 5 for x in [0, 3]

*Monday, August 1, 2016 by Diana*

**Calculus**

What is the maximum area of a rectangle that has sides along the positive x-axis and y-axis and lies below the line 3x+2y=1

*Monday, August 1, 2016 by Aj*

**Calculus**

Does the series converge? diverge? Use the Root test ((1/n)-(1/n^2))^n

*Monday, August 1, 2016 by ANON*