You will be graded on your written work as well as your answer. You and Austin start at the same place when a O hours, you run North at 3 dinosaur attacks! At t = miles/hour while Austin runs West at 9 miles/hour. At the bottom you will answer, "how fast is the distance between us changing at t = 0.5 hours?" In your written work: a) Draw a picture and clearly label the variables. b) What relationship should you use to help you? (some equation from geometry, using your picture and your variables.) Write the relationship using the variables from your picture. c) Use implicit differentiation to take the derivative your relationship. You do not need to solve or simplify. of d) How fast is the distance between us changing at t = 0.5 hours? miles/hour

You will be graded on your written work as well as your answer. You and Austin start at the same place when a O hours, you run North at 3 dinosaur attacks! At t = miles/hour while Austin runs West at 9 miles/hour. At the bottom you will answer, "how fast is the distance between us changing at t = 0.5 hours?" In your written work: a) Draw a picture and clearly label the variables. b) What relationship should you use to help you? (some equation from geometry, using your picture and your variables.) Write the relationship using the variables from your picture. c) Use implicit differentiation to take the derivative your relationship. You do not need to solve or simplify. of d) How fast is the distance between us changing at t = 0.5 hours? miles/hour

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

You will be graded on your written work as well as
your answer.
You and Austin start at the same place when a
dinosaur attacks! At t = 0 hours, you run North at 3
miles/hour while Austin runs West at 9 miles/hour.
At the bottom you will answer, "how fast is the
distance between us changing at t =
0.5 hours?"
In your written work:
a) Draw a picture and clearly label the variables.
b) What relationship should you use to help you?
(some equation from geometry, using your picture
and your variables.) Write the relationship using the
variables from your picture.
c) Use implicit differentiation to take the derivative
of your relationship. You do not need to solve or
simplify.
d) How fast is the distance between us changing at
t
0.5 hours?
miles/hour

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