Pre-Class Assignment 6.21. Find the area of the following shapes. Leave your answers in terms of t and x when applicable.a.b.4in(4x+2)in1infx in

Answered: Find the area of the following shapes.…

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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Pre-Class Assignment 6.2
1. Find the area of the following shapes. Leave your answers in terms of t and x when applicable.
a.
b.
4in
(4x+2)in
1inf
x in

Expert Solution

Step 1

(a) The radius of complete circle is $R = 4$ inch

Area of complete circle $= π {(R)}^{2} = π {(4)}^{2} = 16 π$ inch²

Radius of the inner circle is $r = 1$ inch

Area of inner circle $= π {(r)}^{2} = π {(1)}^{2} = π$ inch²

So, the area of shaded region is $16 π - π = 15 π$ inch²

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Find the area of the following shapes. Leave your answers in terms of n and x when applicable. a. b. (4x +2)in x in 4in linf