1. y = 3x2 - 5x when x = 3 dx when x= 2 b. dt a. 32 dt dy dt

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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What's more Number 1 & 2 and letter B
What's More
ACTIVITY: Directions. Find the required values of and assuming that
x and y are both differentiable functions of t.
Equation
1. y = 3x2 – 5x
Find
Given
dy
dx
when x = 3
= 32
dt
a.
dt
dx
when x = 2
dt
dy
= 4
dt
dx
2. xy = 4
when x= 8
= 10
dt
a.
dy
dx
when x = 1
dt
dt
B. Read and answer the problem carefully.
1. A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per
minute. How fast is the radius of the balloon increasing at the instant the radius is
(a) 30 centimeters and (b) 60 centimeters?
What I Can Do
In problems involving related rates, we are interested at determining how
fast one of the quantities is changing when the other quantity is also changing. We
are working on two quantities which are related to each other. Considering your
relationship to our God as one quantity, your path towards success as the other
quantity and the speed of change as getting closer to any of the two quantities, how
will you describe the status of these two quantities in your life?
46
Transcribed Image Text:What's More ACTIVITY: Directions. Find the required values of and assuming that x and y are both differentiable functions of t. Equation 1. y = 3x2 – 5x Find Given dy dx when x = 3 = 32 dt a. dt dx when x = 2 dt dy = 4 dt dx 2. xy = 4 when x= 8 = 10 dt a. dy dx when x = 1 dt dt B. Read and answer the problem carefully. 1. A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is (a) 30 centimeters and (b) 60 centimeters? What I Can Do In problems involving related rates, we are interested at determining how fast one of the quantities is changing when the other quantity is also changing. We are working on two quantities which are related to each other. Considering your relationship to our God as one quantity, your path towards success as the other quantity and the speed of change as getting closer to any of the two quantities, how will you describe the status of these two quantities in your life? 46
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