1 Consider all rectangles with perimeter equa to 20 cm. Let the base of the rectangle be x cm and the height of the rectangle be у ст. a Complete the table with values for x and y. 6. 0.5 0.1 y b Find a model to express the height of the rectangle (y) in terms of its base (x). ci State the domain of the function defined in part b. ii State the range of the function defined in part b.

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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Exercise 5M
1 Consider all rectangles with perimeter equal
to 20 cm. Let the base of the rectangle be
x cm and the height of the rectangle be
y cm.
a Complete the table with values for x and y.
6.
0.5 0.1
5
b Find a model to express the height of the
rectangle (y) in terms of its base (x).
i State the domain of the function
defined in part b.
ii State the range of the function defined
in part b.
d Sketch the function defined in part b.
State the rate of change of y with respect to
x, and interpret it in this context.
e
Transcribed Image Text:Exercise 5M 1 Consider all rectangles with perimeter equal to 20 cm. Let the base of the rectangle be x cm and the height of the rectangle be y cm. a Complete the table with values for x and y. 6. 0.5 0.1 5 b Find a model to express the height of the rectangle (y) in terms of its base (x). i State the domain of the function defined in part b. ii State the range of the function defined in part b. d Sketch the function defined in part b. State the rate of change of y with respect to x, and interpret it in this context. e
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