(3) Solve the equations for x and correct the answer to four decimal places.(a) 52-1 = 3x+1(b) 4 sin (2x) = cos(x) on [0, 2π]

Given Equations are as follows As we know that

Answered: (3) Solve the equations for x and…

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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Related questions

Question

(3) Solve the equations for x and correct the answer to four decimal places.
(a) 52-1 = 3x+1
(b) 4 sin (2x) = cos(x) on [0, 2π]

Expert Solution

Step 1: Given Equations

Given Equations are as follows

$left parenthesis space a space right parenthesis space 5 to the power of left parenthesis space 2 x space minus space 1 space right parenthesis end exponent space equals space 3 to the power of left parenthesis space x space plus space 1 space right parenthesis end exponent left parenthesis space b space right parenthesis space 4 sin left parenthesis space 2 x space right parenthesis space equals space cos left parenthesis space x space right parenthesis space$

As we know that

$sin left parenthesis space 2 x space right parenthesis space equals space 2 sin left parenthesis space x space right parenthesis cos left parenthesis space x space right parenthesis$