3. What is the area of the largest rectangle that ca be inscribed inside the ellipse given by the 22 y? = 1? equation 4

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. What is the area of the largest rectangle that can be inscribed inside the ellipse given by the
equation
4
= 1?
4. For the function f(r) = 2.r³ – 24r? + 17, determine the following
i The interval(s) on which f(x)
ii. the inflection point(s) of f (x).
concave up and concave down;
5. For each of the following functions over the given interval, and given their first and second
derivatives (simplified):
4x2
(a) f(x)3=
3.
72(x4
(3-7
24r
221
()%3D
on the interval (-oo, 00);
(3-22)2.S"(x)
(b) af m
sin (r) + sin (z), on the
Transcribed Image Text:3. What is the area of the largest rectangle that can be inscribed inside the ellipse given by the equation 4 = 1? 4. For the function f(r) = 2.r³ – 24r? + 17, determine the following i The interval(s) on which f(x) ii. the inflection point(s) of f (x). concave up and concave down; 5. For each of the following functions over the given interval, and given their first and second derivatives (simplified): 4x2 (a) f(x)3= 3. 72(x4 (3-7 24r 221 ()%3D on the interval (-oo, 00); (3-22)2.S"(x) (b) af m sin (r) + sin (z), on the
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