Determine whether (f(g(x)) = x and whether (g (f(x)) = x.f(x) = x2 + 5 , g(x) =  - 5

A. Yes, no
B. No, yes
C. No, no
D. Yes, yes


Answer: C

Mathematics

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Use the given transformation to evaluate the integral.   Rwhere R is the parallelogram bounded by the lines    

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A. 1440
B. 2880
C.
D.

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Use the given window to sketch a direction field for the equation. Then sketch the solution curve that corresponds to the given initial condition. A detailed direction field is not needed.y'(x) = y(3 - y), y(0) = ; [0, 5] × [0, 4]

What will be an ideal response?

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Divide using long division.

A. -3x2 - 5x - 2
B. -3x2 - 5x - 2 + 
C. x2 - 2 + 
D. -3x2 - 5x - 2 + 

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Using Green's Theorem, find the outward flux of F across the closed curve C.F = (-5x + 2y)i + (6x - 9y)j; C is the region bounded above by y = -5x2 + 250 and below by  in the first quadrant

A. 17,430
B. - 9880
C. 17290
D. - 

Mathematics