Consider the following equations.yf(y)49 – y?g(v) = 0y = 4Sketch the region bounded by the graphs of the functions.yy5t31X0.51.01.50.51.01.5yy55-3320.51.01.50.51.01.5Find the area of the region. (Round your answer to three decimal places.)4.213,2.

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Answered: f(y) 49 - у2 g(v) = 0 y = 4 etch the…

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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Find the area enclosed by the line y = x − 3 and the parabola y2 = 2x + 18. SOLUTION By solving the two equations we find that the points of intersection are , −4 and , 6 . We solve the equation of the parabola for x and notice from the figure that the left and right boundary curves are xL = 1 2 y2 − 9 and xR = y + 3. We must integrate between the appropriate y-values, y = −4 and y = 6. Thus A = 6 (xR − xL) dy −4 = 6 (y + 3) − dy −4 = 6 dy −4 = 6 −4 = + 18 + 72 − + 8 − 48 = .
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f(y) 49 - у2 g(v) = 0 y = 4 etch the region bounded by the graphs of the functions. y y 5- 3 2 1 0.5 1.0 1.5 0.5 1.0 1.5 y y 3 1