Find a linear map 7 that maps [0, 1] × [0, 1] to the parallelogram P in the xy-plane spanned by the vectors (6,5) and (7,4). (Give your answer in the form (*, *). Express numbers in exact form. Use symbolic notation and fractions where needed.) T(u,v) = (6u+7v,5u + 4v) Calculate the double integral of e2x-over P via change of variables. (Express numbers in exact form. Use symbolic notation and fractions where needed.) 2x-^= // (0¹0-1) (²-1) Incorrect

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
Question
Find a linear map 7 that maps [0, 1] × [0, 1] to the parallelogram P in the xy-plane spanned by the vectors (6,5) and (7,4).
(Give your answer in the form (*, *). Express numbers in exact form. Use symbolic notation and fractions where needed.)
T(u, v) = (6u+7v,5u +4v)
Calculate the double integral of e2x-over P via change of variables.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
1/₂ 2²x-A=
Incorrect
10
½ (e¹⁰ − 1)(e² - 1)
70
CA
Transcribed Image Text:Find a linear map 7 that maps [0, 1] × [0, 1] to the parallelogram P in the xy-plane spanned by the vectors (6,5) and (7,4). (Give your answer in the form (*, *). Express numbers in exact form. Use symbolic notation and fractions where needed.) T(u, v) = (6u+7v,5u +4v) Calculate the double integral of e2x-over P via change of variables. (Express numbers in exact form. Use symbolic notation and fractions where needed.) 1/₂ 2²x-A= Incorrect 10 ½ (e¹⁰ − 1)(e² - 1) 70 CA
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