Suppose f, f, g, and g' have the following values: 1 8 10 3 -1 -2 -253-252-246-248-262 14 f(x) f'(x) g(x) g'(x) 64 2 2 -7 56 4 7 6 5 -8 -6 The equation of the tangent line is: -15 23 At the half-time show for a Milwaukee College football game, a balloon will travel along a path with equation x³ + y³ = f(x)g(x) and will be released at the point where a = 2. To ensure the safety of the crowd, Sophia needs the equation of the line tangent to the graph of 2³+ y³ = f(x)g(x) at x = 2 For this question, if you choose to use decimals, be sure that you round your numbers to at least 4 decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Suppose f, f', g, and g' have the following values:
1
2
3
4
f(x)
8
2
1
-8
f'(x)
g(x)
10
-7
- 2
6
-6
– 253 - 252
- 246 - 248
- 262
-
64
56
14
- 15
23
(2),6
At the half-time show for a Milwaukee College football game, a balloon will travel along a path with
equation z + y = f(x)g(x) and will be released at the point where x = 2. To ensure the safety of
the crowd, Sophia needs the equation of the line tangent to the graph of 2° + y° = f(x)g(x) at x = 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 2 3 4 f(x) 8 2 1 -8 f'(x) g(x) 10 -7 - 2 6 -6 – 253 - 252 - 246 - 248 - 262 - 64 56 14 - 15 23 (2),6 At the half-time show for a Milwaukee College football game, a balloon will travel along a path with equation z + y = f(x)g(x) and will be released at the point where x = 2. To ensure the safety of the crowd, Sophia needs the equation of the line tangent to the graph of 2° + y° = f(x)g(x) at x = 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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