Question 12 A hedgehog named Tesseract is sitting at the northwest corner of a rectangular pool, 300 feet wide and 80 feet long. Tess can run at 6 feet per second and swim at about 4 feet per second. Relative to Tess' starting point, where should she dive into the pool to minimize her time traveling from her starting point to the strawberry at the southeast corner of the pool? TESS 300 feet IFILIL /!li grass Start water 80 feet Finish YUM! You'll need to a) Define a variable, and tell me what it represents with the proper units. b) Write an objective function and include it in your answer. (Above the text entry box, you can choose insert. equation to show your equation) c) Find the value of the variable that minimizes the objective function and d) Say how you know this is a minimum value of the objective function and not a maximum or something else. e) Answer the question in a complete sentence.

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 12
A hedgehog named Tesseract is sitting at the northwest corner of a rectangular pool, 300 feet wide and 80 feet long. Tess can run at 6 feet per second and swim at
about 4 feet per second. Relative to Tess' starting point, where should she dive into the pool to minimize her time traveling from her starting point to the strawberry
at the southeast corner of the pool?
TESS
300 feet
IFILIL /!li grass
Start
water
80
feet
Finish
YUM!
You'll need to
a) Define a variable, and tell me what it represents with the proper units.
b) Write an objective function and include it in your answer. (Above the text entry box, you can choose insert. equation to show your equation)
c) Find the value of the variable that minimizes the objective function and
d) Say how you know this is a minimum value of the objective function and not a maximum or something else.
e) Answer the question in a complete sentence.
Transcribed Image Text:Question 12 A hedgehog named Tesseract is sitting at the northwest corner of a rectangular pool, 300 feet wide and 80 feet long. Tess can run at 6 feet per second and swim at about 4 feet per second. Relative to Tess' starting point, where should she dive into the pool to minimize her time traveling from her starting point to the strawberry at the southeast corner of the pool? TESS 300 feet IFILIL /!li grass Start water 80 feet Finish YUM! You'll need to a) Define a variable, and tell me what it represents with the proper units. b) Write an objective function and include it in your answer. (Above the text entry box, you can choose insert. equation to show your equation) c) Find the value of the variable that minimizes the objective function and d) Say how you know this is a minimum value of the objective function and not a maximum or something else. e) Answer the question in a complete sentence.
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