25,270 Answered Questions for the topic calculus

Calculus Math

03/22/24

Need help with this Calculus problem!

5. The integrals defined in line (3) are meaningful numbers for any integrable function f. Treating a given function as if it were a combination of periodic functions opens the door to Fourier... more
Calculus

03/22/24

A particle is moving with acceleration a(t) = 36t + 8 . Its position at time t = 0 is s(0) = 3  and its velocity at time t = 0 is v(0) = 1 . What is its position at time t = 8 ?

A particle is moving with acceleration a(t) = 36t + 8 . Its position at time t = 0 is s(0) = 3  and its velocity at time t = 0 is v(0) = 1 . What is its position at time t = 8 ?
Calculus

03/22/24

In this question, you will find the exact value of the equation using Riemann sums.

In this question, you will find the exact value of ∫50 x2/2 + 2xdx using Riemann sums. simplify ∑ni=1 (i2/2) and ∑ni=1 2i approximate ∫50 x2/2 + 2xdx via theRiemann sum, using the partition of [0,... more
Calculus

03/22/24

Find its height and velocity 10 seconds later

On the surface of the moon, the acceleration of gravity is -5.28 feet per second per second. If an object is thrown upward from an initial height of 1000 feet with a velocity of 20 feet per second,... more
Calculus

03/22/24

Solve the differential equation dy/dx = 5xy^2, subject to the condition that y = 1 when x = 2.

Solve the differential equation dy/dx = 5xy2, subject to the condition that y = 1 when x = 2.
Calculus

03/22/24

Find the smallest integer a such that the Intermediate Value Theorem guarantees that f ( x ) has a zero on the interval [ 0 , a ] .

Find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) has a zero on the interval [0,a].f(x)=−3x3+8x2−4x+4
Calculus

03/22/24

Write the first four nonzero terms and general term of the geometric series

Write the first four nonzero terms and general term of the geometric series that is equal to 1/(1+t^5).
Calculus

03/21/24

Objective [1.8] An investment of $8,100 which earns 11.5% per year is growing continuously How fast will it be growing at year 8?

Objective [1.8]An investment of $8,100 which earns 11.5% per year is growing continuouslyHow fast will it be growing at year 8?
Calculus Math

03/21/24

Suppose we want to integrate

Sometimes we switch coordinates because it makes the integrand easier. Let D� denote the triangular region with vertices at (0,0),(1,0) and (0,1). This region is not round. However, suppose we want... more
Calculus

03/20/24

linear approximation

Find the local linear approximation of the function  at , and use it to approximate  and .(a)  (b)  (c)  For parts (b) and (c), you should enter your answer as a fraction. If you enter a decimal,... more
Calculus

03/20/24

Equate Derivatives to determine the 5th degree Taylor polynomial

Equate Derivatives to determine the 5th degree Taylor polynomial for f(x)=sinx centered at a=2π/3.

03/20/24

Suppose you want to integrate f(x,y) = 8xy over the domain you just found

okay so the previous question was finding the domain ie the polar cords fromintegral sign (b=5, a =0)integral sign (b=sqrt(25-x^2) a= 0) f(x,y) dy dxfound to be 0 <= r <= 5 and 0<= theta... more
Calculus

03/19/24

A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight.

Also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. Let's assume the rocket rises vertically and its speed... more
Calculus

03/19/24

A plane flying horizontally at an altitude of 1 mi and a speed of 510 mi/h passes directly over a radar station.

Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 2 mi away from the station. (Round your answer to the nearest whole number.)
Calculus

03/19/24

The top of a ladder slides down a vertical wall at a rate of 0.375 m/s.

At the moment when the bottom of the ladder is 6 m from the wall, it slides away from the wall at a rate of 0.5 m/s. How long is the ladder?
Calculus

03/19/24

A ladder 10 ft long rests against a vertical wall.

If the bottom of the ladder slides away from the wall at a rate of 1.2 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall?
Calculus

03/19/24

The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/min.

At what rate is the base of the triangle changing when the altitude is 20 cm and the area is 180 cm^2?
Calculus English

03/19/24

OceaN CrediT LoaN CustomeR CarE HelplinE+((+7439367021 +))))call((((+ 9382521654 √Toll Free..

OceaN CrediT LoaN CustomeR CarE HelplinE+((+7439367021 +))))call((((+ 9382521654 √Toll Free..OceaN CrediT LoaN CustomeR CarE HelplinE+((+7439367021 +))))call((((+ 9382521654 √Toll Free..OceaN... more
Calculus Math

03/19/24

Evaluate the Integral. Show All Steps

Evaluate the Integral. Show All Steps. If possible attach a video going through the problem
Calculus Math

03/18/24

Evaluate the Integral. Show All Steps

Evaluate the Integral. Show All Steps. If possible attach a video going through the problem. Simplify by factoring then check by differentiation.
Calculus

03/18/24

AP cal, graphing calculator req.

A particle moves along the x-axis so that the velocity at time t is given by v(t) = t^6-13t^4+12/10t^3+3. At time t = 0, the initial position of the particle is x = 7.(a) Find the acceleration of... more

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