18.f(x) = coin on [-2, 2] 19.f)x+ 2)/ 1/3 20,f(x) = 12 x-2 21. Optimization A right triangle has legs of length h and r, and a hypotenuse of length 4 (see figure), It is revolved the leg of length h to sweep out a right circular cone. What values of h and r maximize the volume of the cone? (Volume of a cone r/3.) 22. Rectangles beneath a curve A rectangle is constructed with one side on the positive x-axis, one side on the positive y-axis, and the vertex opposite the origin on the curve y = cos x, for 0 < x < ㎡2. Approximate the dimensions of the rectangle that maximize the area of the rectangle. What is the area? m printable area A rectangular page in a textbook (with width x and length y) has an area of 98 in,.2,top and bottom margins set at 1 in., and left and right margins set at 1 in. The printable area of the page is the rectangle that lies within the margins. What are the dimensions of the page that maximize the printable area? 4 Nrarrst pgint What point on the graph ofx)x2 is closest to the origin? (Hint: You can minimize the
18.f(x) = coin on [-2, 2] 19.f)x+ 2)/ 1/3 20,f(x) = 12 x-2 21. Optimization A right triangle has legs of length h and r, and a hypotenuse of length 4 (see figure), It is revolved the leg of length h to sweep out a right circular cone. What values of h and r maximize the volume of the cone? (Volume of a cone r/3.) 22. Rectangles beneath a curve A rectangle is constructed with one side on the positive x-axis, one side on the positive y-axis, and the vertex opposite the origin on the curve y = cos x, for 0 < x < ㎡2. Approximate the dimensions of the rectangle that maximize the area of the rectangle. What is the area? m printable area A rectangular page in a textbook (with width x and length y) has an area of 98 in,.2,top and bottom margins set at 1 in., and left and right margins set at 1 in. The printable area of the page is the rectangle that lies within the margins. What are the dimensions of the page that maximize the printable area? 4 Nrarrst pgint What point on the graph ofx)x2 is closest to the origin? (Hint: You can minimize the
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Question
Question # 21
![18.f(x) = coin on [-2, 2]
19.f)x+ 2)/
1/3
20,f(x) =
12
x-2
21. Optimization A right triangle has legs of length h and r, and a hypotenuse of length 4 (see figure), It is revolved
the leg of length h to sweep out a right circular cone. What values of h and r maximize the volume of the cone?
(Volume of a cone r/3.)
22. Rectangles beneath a curve A rectangle is constructed with one side on the positive x-axis, one side on the
positive y-axis, and the vertex opposite the origin on the curve y = cos x, for 0 < x < ㎡2. Approximate the
dimensions of the rectangle that maximize the area of the rectangle. What is the area?
m printable area A rectangular page in a textbook (with width x and length y) has an area of 98 in,.2,top
and bottom margins set at 1 in., and left and right margins set at 1 in. The printable area of the page is the rectangle
that lies within the margins. What are the dimensions of the page that maximize the printable area?
4 Nrarrst pgint What point on the graph ofx)x2 is closest to the origin? (Hint: You can minimize the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73cd7e1d-9f12-4ab6-bfe5-8c5d0546237c%2F623dd116-c062-4cb8-95a7-0504ae381443%2Fx6no3dl.jpeg&w=3840&q=75)
Transcribed Image Text:18.f(x) = coin on [-2, 2]
19.f)x+ 2)/
1/3
20,f(x) =
12
x-2
21. Optimization A right triangle has legs of length h and r, and a hypotenuse of length 4 (see figure), It is revolved
the leg of length h to sweep out a right circular cone. What values of h and r maximize the volume of the cone?
(Volume of a cone r/3.)
22. Rectangles beneath a curve A rectangle is constructed with one side on the positive x-axis, one side on the
positive y-axis, and the vertex opposite the origin on the curve y = cos x, for 0 < x < ㎡2. Approximate the
dimensions of the rectangle that maximize the area of the rectangle. What is the area?
m printable area A rectangular page in a textbook (with width x and length y) has an area of 98 in,.2,top
and bottom margins set at 1 in., and left and right margins set at 1 in. The printable area of the page is the rectangle
that lies within the margins. What are the dimensions of the page that maximize the printable area?
4 Nrarrst pgint What point on the graph ofx)x2 is closest to the origin? (Hint: You can minimize the
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