17. Sketch the ioiicwing curve by cing seconá derivative:1) y= 1+x2) y=-x(x-7)3) y (x+ 2) (x-3)4) y=x(5-x)(ans.: max.(1,0.5); min.(-1,-0.5))(ans.: max.(7,0); min.(2.3,-50.8))(ans.: max.(-2,0); min.(1.3,-18.5))(uns. mux.(3.5,18.5);ra0,0))18. What is the smallest perimeter possible for a rectangle of area 16in.2 ?(ans.: 16)19. Find the area of the largest rectangle with lower base on the x-axis and upper vertices on the parabola y 12-x.(ans.:32)20) A rectangular plot is to be bounded on one side by a straightriver and enclosed on the other three sides by a fence. With 800m. of fence at your disposal. What is the largest area you canenclose ?(ans.:80000)21) Show that the rectangle that has maximum area for a givenperimeter is a square.22) A wire of length L is available for makıng a circie and a square.How should the wire be divided between the two shapes tomaximize the sum of the enclosed areas?(ans.: all bent into a circle)23) A closed container is made from a right circular cylinder ofradius 7 and height h with a hemispherical dome on top. Findthe relationship between r and h that maximizes the volume for agiven surface area s.(ans.:r h3=DV 5z24) An open rectangular box is to be made from a piece of cardboard8 in. wide and 15 in. long by cutting a square from each cornerand bending up the sides Find the dimensions of the box of largestvolume.(ans.: height=5/3; width-14/3; length=35/3)

Answered: Image /qna-images/answer/21bbfe91-88af-4a84-82b0-de1860768886.jpg

Answered: 1) y%= (ans.: max.(1,0.5);…

Math

Calculus

1) y%= (ans.: max.(1,0.5); min.(-1,-0.5)) 1+ x in (2 3-50,8))

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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