3) Let R be the region in Q1 bounded by the graphs of these equations: y =16-x²,y=-4x+16 Sketch R on a set of coordinate axes. Mark the two "tip" points of R with their coordinates. а) Find the exact Area of R by integrating with respect to the x - axis (vertical rectangles). b) c) Set up – but do not evaluate - the definite integral that would represent the Area of R when integrating with respect to the y- axis (horizontal rectangles).

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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3)
Let R be the region in Q1 bounded by the graphs of these equations:
y =16-x²,y=-4x+16
а)
Sketch R on a set of coordinate axes. Mark the two "tip" points of R with their
coordinates.
b)
Find the exact Area of R by integrating with respect to the x- axis (vertical
rectangles).
Set up
but do not evaluate - the definite integral that would represent the Area
-
of R when integrating with respect to the y - axis (horizontal rectangles).
Transcribed Image Text:3) Let R be the region in Q1 bounded by the graphs of these equations: y =16-x²,y=-4x+16 а) Sketch R on a set of coordinate axes. Mark the two "tip" points of R with their coordinates. b) Find the exact Area of R by integrating with respect to the x- axis (vertical rectangles). Set up but do not evaluate - the definite integral that would represent the Area - of R when integrating with respect to the y - axis (horizontal rectangles).
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