11. Suppose water is flowing into a tank where the base of the tank is a octagon with side length x, apothem a, and height H. The volume of water as a function of height is V = 4axh, where x is the side length of the tank, a is the apothem and h is the height of the water in the tank. a) Find the domain of the volume of the water as a function of the height of the water. Domain = [ 1 " b) Find the range of the volume of the water as a function of the height of the water. [0, 4axh] [4axh, 4axH] [0, 4axH] c) Is this function of the height of the water a one-to-one function? Yes, this is a one-to-one function. No, this is not a one-to-one function.
11. Suppose water is flowing into a tank where the base of the tank is a octagon with side length x, apothem a, and height H. The volume of water as a function of height is V = 4axh, where x is the side length of the tank, a is the apothem and h is the height of the water in the tank. a) Find the domain of the volume of the water as a function of the height of the water. Domain = [ 1 " b) Find the range of the volume of the water as a function of the height of the water. [0, 4axh] [4axh, 4axH] [0, 4axH] c) Is this function of the height of the water a one-to-one function? Yes, this is a one-to-one function. No, this is not a one-to-one function.
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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Question
![11. Suppose water is flowing into a tank where the base of the tank is a octagon with
side length x, apothem a, and height H. The volume of water as a function of height is V =
4axh, where x is the side length of the tank, a is the apothem and h is the height of the
water in the tank.
a) Find the domain of the volume of the water as a function of the height of the water.
1
Domain= [
b) Find the range of the volume of the water as a function of the height of the water.
O [0, 4axh]
[4axh, 4axH]
[0, 4axH]
c) Is this function of the height of the water a one-to-one function?
Yes, this is a one-to-one function.
O No, this not a one-to-one function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bfda259-7429-4717-b69c-7067c249bba0%2F7d97884d-f75e-47d5-9ef9-22cad86a2d7c%2F9k503_processed.png&w=3840&q=75)
Transcribed Image Text:11. Suppose water is flowing into a tank where the base of the tank is a octagon with
side length x, apothem a, and height H. The volume of water as a function of height is V =
4axh, where x is the side length of the tank, a is the apothem and h is the height of the
water in the tank.
a) Find the domain of the volume of the water as a function of the height of the water.
1
Domain= [
b) Find the range of the volume of the water as a function of the height of the water.
O [0, 4axh]
[4axh, 4axH]
[0, 4axH]
c) Is this function of the height of the water a one-to-one function?
Yes, this is a one-to-one function.
O No, this not a one-to-one function.
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