20,969 Answered Questions for the topic calculus

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

#### 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...
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#### 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...
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#### 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...
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#### 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

#### 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...
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#### 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...
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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...
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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

#### Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the -axis. Curve eqts below

y=cos(x2), x=0, x= (√∏)/2, y=0

Calculus

1d

#### viewed from above, a pool has the shape of the ellipse (eqt below) where x and y are measured in ft. The cross sections perpendicular to the x-axis are squares. Find the total volume of the pool.

x2/900 + y2/400 =1

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 ...
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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)

#### 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...
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#### 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....
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