Answered: 2 2 2 3x 2 2 2 - 3x-

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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a. Write an expression for the area of the shaded region. (see attached pic.)
b. Write the expression in factored form.

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Step 1

Concept:

The calculus helps in understanding the changes between values that are related by a function. It is used in different areas such as physics, biology and sociology and so on. The calculus is the language of engineers, scientists and economics.

Step 2

Given:

Step 3

(a)

The area of the shaded figure can be obtained by substracting the area of the four small squares from the area of the large square.

Area of a square is the square of its length

Area of the big square= 3x. 3x

Area of the big square= $9 x^{2}$

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