Suppose f, f', g, and g' have the following values: 1 2 3 f(x) 4 - 2 - 2 7 4 f'(x) 9 2 5 - 9 (x)6 146 - 2 142 137 144 134 g'(x) - 55 70 - 70 63 At the half-time show for a Hartford College football game, a balloon will travel along a path with equation æ* + y = f(x)g(x) and will be released = 2. To ensure the safety of at the point where x = the crowd, Alicia needs the equation of the line tangent to the graph of æ + y° = f(x)g(x) at = 2. For this question, if you choose to use decimals, be sure that you round your numbers to at least 4 decimal places. The equation of the tangent line is:

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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Suppose f, f', g, and g' have the following values:
1
1
2
3
f(x)
4
- 2
- 2
7
4
f'(x)
9
2
5
- 9
g(x)
146
142
137
144
134
g'(x)
- 2
- 55
70
- 70
63
At the half-time show for a Hartford College football
game, a balloon will travel along a path with
equation æ* + y³ = f(x)g(x) and will be released
= 2. To ensure the safety of
at the point where x =
the crowd, Alicia needs the equation of the line
tangent to the graph of æ + y° = f(x)g(x) at
= 2.
For this question, if you choose to use decimals, be
sure that you round your numbers to at least 4
decimal places.
The equation of the tangent line is:
Transcribed Image Text:Suppose f, f', g, and g' have the following values: 1 1 2 3 f(x) 4 - 2 - 2 7 4 f'(x) 9 2 5 - 9 g(x) 146 142 137 144 134 g'(x) - 2 - 55 70 - 70 63 At the half-time show for a Hartford College football game, a balloon will travel along a path with equation æ* + y³ = f(x)g(x) and will be released = 2. To ensure the safety of at the point where x = the crowd, Alicia needs the equation of the line tangent to the graph of æ + y° = f(x)g(x) at = 2. For this question, if you choose to use decimals, be sure that you round your numbers to at least 4 decimal places. The equation of the tangent line is:
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