Let f (u, v) = (tan(u – 1) – e", 6u² – 50²) and g (x, y) = (e7x-y),7(x – y)). Calculate f • g. (Write your solution using the form (*,*). Use symbolic notation and fractions where needed.) f•g = Calculate D (f • g) (1, 1). a (Express numbers in exact form. Give your answer as comma separated list of a, b, c, d from .) D (f • g)(1, 1) =
Let f (u, v) = (tan(u – 1) – e", 6u² – 50²) and g (x, y) = (e7x-y),7(x – y)). Calculate f • g. (Write your solution using the form (*,*). Use symbolic notation and fractions where needed.) f•g = Calculate D (f • g) (1, 1). a (Express numbers in exact form. Give your answer as comma separated list of a, b, c, d from .) D (f • g)(1, 1) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Let \( f(u, v) = \left( \tan(u - 1) - e^v, 6u^2 - 5v^2 \right) \) and \( g(x, y) = \left( e^{y(x-y)}, 7(x-y) \right) \). Calculate \( f \circ g \).
(Write your solution using the form \((*, *)\). Use symbolic notation and fractions where needed.)
\[ f \circ g = \]
Calculate \( \mathbf{D}(f \circ g)(1, 1) \).
(Express numbers in exact form. Give your answer as a comma-separated list of \( a, b, c, d \) from \(\begin{bmatrix} a & b \\ c & d \end{bmatrix}\).)
\[ \mathbf{D}(f \circ g)(1, 1) = \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51ff2e68-0bd1-44c4-8696-122fa89f1551%2Ff769e6c9-0cef-41ed-a125-bfd86ca11450%2Ftepr7ri_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( f(u, v) = \left( \tan(u - 1) - e^v, 6u^2 - 5v^2 \right) \) and \( g(x, y) = \left( e^{y(x-y)}, 7(x-y) \right) \). Calculate \( f \circ g \).
(Write your solution using the form \((*, *)\). Use symbolic notation and fractions where needed.)
\[ f \circ g = \]
Calculate \( \mathbf{D}(f \circ g)(1, 1) \).
(Express numbers in exact form. Give your answer as a comma-separated list of \( a, b, c, d \) from \(\begin{bmatrix} a & b \\ c & d \end{bmatrix}\).)
\[ \mathbf{D}(f \circ g)(1, 1) = \]
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