Thế åbsolute maximunm value is The absOlute minilmum value is Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 32x2 + 2y2 = 32. Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-axis. Length = Width = (Type exact answers, using radicals as needed.) Find the point on the plane 4x+7y+8z-16=0 closest to the point (-3,3,2). The point is ).(Simplify your answers.)

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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The absolute maximum value is
The åbsolute minimum value is
13. Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in
the ellipse 32x2+2y 32.
Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-axis.
Length =
Width =
(Type exact answers, using radicals as needed.)
4. Find the point on the plane 4x+7y+8z-16 0 closest to the point (-3,3,2).
The point is
(Simplify your answers.)
Use Lagrange multipliers to find the point on the surface 3x + y-3=0 closest to the point (3,2,-4).
The point on the surface 3x + y-3=0 closest to the point (3,2,- 4) is ( 5
(Type exact answers.)
Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 17.
13.56
19.63.
The radius is
The height is
Find the values of l and g with l20 and g20 that maximize the following utility function subject to the given constraint.
Give the value of the utility function at the optimal point.
U=f(l,g) = 6t'g
,1/2 1/2
subject to 4l+6g 18
What are the values of { and g?
913
Transcribed Image Text:The absolute maximum value is The åbsolute minimum value is 13. Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 32x2+2y 32. Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-axis. Length = Width = (Type exact answers, using radicals as needed.) 4. Find the point on the plane 4x+7y+8z-16 0 closest to the point (-3,3,2). The point is (Simplify your answers.) Use Lagrange multipliers to find the point on the surface 3x + y-3=0 closest to the point (3,2,-4). The point on the surface 3x + y-3=0 closest to the point (3,2,- 4) is ( 5 (Type exact answers.) Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 17. 13.56 19.63. The radius is The height is Find the values of l and g with l20 and g20 that maximize the following utility function subject to the given constraint. Give the value of the utility function at the optimal point. U=f(l,g) = 6t'g ,1/2 1/2 subject to 4l+6g 18 What are the values of { and g? 913
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