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Let f : UCR - R³ and g : R? → R³ be defined by: xy sin x f(x, y) = yez g(x, y) = cos 2y log r Here U is suitable subset so that function and their derivatives are defined. The value of D(f g)(T, T) has the form (x, y) E R2.Compute r +y. Give your answer with up to 3 decimal places, e.g. "4.598" or "6.667".

Let f : UCR - R³ and g : R? → R³ be defined by: xy sin x f(x, y) = yez g(x, y) = cos 2y log r Here U is suitable subset so that function and their derivatives are defined. The value of D(f g)(T, T) has the form (x, y) E R2.Compute r +y. Give your answer with up to 3 decimal places, e.g. "4.598" or "6.667".

Advanced Engineering Mathematics
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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Let f : UCR? → R³ and g : R? → R³ be defined by: xy sin x f(x, y) ye? g(x, y) = cos 2y log x 1 Here U is suitable subset so that function and their derivatives are defined. The value of D(f g)(T, 7) has the form (x, y) E R?. Compute x + y. Give your answer with up to 3 decimal places, e.g. "4.598" or "6.667". Answer:
Transcribed Image Text:Let f : UCR? → R³ and g : R? → R³ be defined by: xy sin x f(x, y) ye? g(x, y) = cos 2y log x 1 Here U is suitable subset so that function and their derivatives are defined. The value of D(f g)(T, 7) has the form (x, y) E R?. Compute x + y. Give your answer with up to 3 decimal places, e.g. "4.598" or "6.667". Answer:
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