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
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 \(\begin{bmatrix} a & b \\ c & d \end{bmatrix}\).)

\[ \mathbf{D}(f \circ g)(1, 1) = \]
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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