20,969 Answered Questions for the topic calculus

Calculus Math

54m

Find the area enclosed by one leaf of the rose r=5sin(5θ)

Calculus

8h

Use Newton's method with initial approximation x1 = 0 to find x2, x3, x4 to approximate the solution of x^3 - 3x = 1.

Give your answers to 6 decimal places. Be sure to clearly state what function, derivative, and formula you are using.
Calculus

10h

Estimate the area under the graph

Estimate the area under the graph of the function f(x)=√x+5 from x=−2x=−2 to x=3x=3 using a Riemann sum with  n=10n=10 subintervals and midpoints.
Calculus

13h

System of equations

Can someone help me with solving this system of equations:ln(y)-y/(2*x)=0(x/y)-x^(1/2)=0

18h

In the year 2008 Apple sold 11 million iPhones. Over the next few years, annual sales increased by an average of 55%

In the year 2008 Apple sold 11 million iPhones. Over the next few years, annual sales increased by an average of 55%, which we will model using a geometric sequence with r = 1.55Use the geometric... more

18h

Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second day, 4 cents on the third day and so on.

Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second day, 4 cents on the third day and so on.Hint: use an= a1 (r)^n-1 and Sn= a1 (1-r^n) / 1 - rA. If the... more

21h

Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second day, 4 cents on the third day and so on.

Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second day, 4 cents on the third day and so on.Hint: use an= a1 (r)^n-1 and Sn= a1 (1-r^n) / 1 - rA. If the... more

23h

In the year 2008 Apple sold 11 million iPhones. Over the next few years, annual sales increased by an average of 55%, which we will model using a geometric sequence with r = 1.55

In the year 2008 Apple sold 11 million iPhones. Over the next few years, annual sales increased by an average of 55%, which we will model using a geometric sequence with r = 1.55Use the geometric... more

23h

A ball is dropped from a height of 20 feet. Each time the ball bounces it returns to 7/9

A ball is dropped from a height of 20 feet. Each time the ball bounces it returns to 7/9 of the height it fell from. Let an represent the maximum height of the ball on the nth bounce.A). an = 20... more

1d

A ball is dropped from a height of 20 feet. Each time the ball bounces it returns to 7/9 of the height

A ball is dropped from a height of 20 feet. Each time the ball bounces it returns to 7/9 of the height it fell from. Let an represent the maximum height of the ball on the nth bounce.A) Find a... more
Calculus

1d

calculus question

 Consider the function f(x)=6/x^2−4/x^5. Let F(x) be the antiderivative of f(x) with F(1)=0.Then F(x)= 
Calculus Math

1d

This problem is hard, any help?

If h(x) is a differentiable function with critical numbers x = 2, 4, and 5. If h"(1) = 0, h"(2) > 0, h"(3) > 0, h"(4) < 0, and h"(5) = 0, which of the integers 1, 2, 3, 4, and 5 must be... more
Calculus

1d

calculus question

 Consider the function f(x)=9/x^2−9/x^5. Let F(x) be the antiderivative of f(x) with F(1)=0.Then F(3)=
Calculus

1d

calculus question

 Find the function with derivative f′(x)=e^5x that passes through the point P=(0,6/5).f(x)=
Calculus

1d

Calculus Position Problem

A particle is moving with the given data. Find the position of the particle, s(t).v(t) = 7 cos(t) + 2 sin(t),    s(0) = 8Thank you in advance!
Calculus

1d

Finding the limit as x approaches infinity given graph

Hi,The question reads:The differential equation dy/dx = k(M-y)y shown has a particular solution with the initial condition f(2) = 2. Let y = h(x) be a particular solution to the given differential ... more
Calculus Math Precalculus

1d

Limit of a Two-Variable Function Using Epsilon-Delta Definition

Using the Epsilon-Delta to limits, prove thatlim [ 4x + (2*(y^2)) ] = 6(x,y)-->(1,1)

1d

At the local bunny-hop, Mr. Meyering jumps 10 inches on his first jump and then 5 inches with his second jump.

At the local bunny-hop, Mr. Meyering jumps 10 inches on his first jump and then 5 inches with his second jump. If the distances form a geometric sequence, what is the total distance Mr. Meyering... more

1d

A tire swing attached to a tree branch swings with an arc length of 30 feet on its first swing. On each swing following the first,

A tire swing attached to a tree branch swings with an arc length of 30 feet on its first swing. On each swing following the first, the tire's arc length is 6/7of the length of the previous swing.... more

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