Match the following reasons to complete the proof. Reasons may be used more than once.
Mathematics
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Find the Jacobian for the given transformation.x = 10u cos 8v, y = 10u sin 8v
A. 640v B. 640u C. 800v D. 800u
Mathematics
Solve the problem.An architect needs to design a rectangular room with an area of 77 ft2. What dimensions should he use in order to minimize the perimeter?
A. 19.25 ft × 19.25 ft B. 8.77 ft × 19.25 ft C. 8.77 ft × 8.77 ft D. 15.4 ft × 77 ft
Mathematics
Find the domain of the composite function f?g. Write the domain in interval notation.f(x) = 2x + 12; g(x) = 
A. [-6, ?) B. (-?, -6] ? [0, ?) C. [0, ?) D. (-?, ?)
Mathematics
Multiply or divide and simplify your answer.13 ÷ 3
A. 2
B. 5
C. 4
D. 3
Mathematics