BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 2, Problem 17RCC

(a)

To determine

To find:An antiderivative of f .

Expert Solution

Answer to Problem 17RCC

An antiderivative of f(x) is F .

Explanation of Solution

Calculation:

Let’s f(x) be a function.

  F'=f

If the function F exists, F is known as antiderivative of f(x) .

Therefore, an antiderivative of f(x) is F .

(b)

To determine

To find:The antiderivative of velocity and acceleration function.

Expert Solution

Answer to Problem 17RCC

The antiderivative of velocityfunction is the position function f(t) and the antiderivative of acceleration function is the position function v(t) .

Explanation of Solution

Calculation:

Using for velocity v(t)=f'(t) .

The antiderivative of a velocity function is the position function f(t) .

Using for acceleration a(t)=v'(t) .

The antiderivative of a acceleration function is the position function v(t) .

Therefore, the antiderivative of velocityfunction is the position function f(t) and the antiderivative of acceleration function is the position function v(t) .

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