Simplify using the zero-power rule.(2b)0

A. 0
B. b
C. 2
D. 1


Answer: D

Mathematics

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Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.?  y = x2  y = 

A. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = , f(x) is not differentiable at 
B. Since limx?1+ f '(x) =  while limx?1- f '(x) = 2, f(x) is not differentiable at 
C. Since limx?1+ f '(x) =  while limx?1- f '(x) = 1, f(x) is not differentiable at 
D. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 2, f(x) is differentiable at 

Mathematics

Find the flux of the vector field F across the surface S in the indicated direction.F = 5xi + 5yj + z5k; S is portion of the cylinder x2 + y2 = 1 between z = 0 and z = 3; direction is outward

A. 30? B. -30? C. 15 D. 30

Mathematics

(3a - 4b)(4a2 - 2b) =

a. 12a3 + 16ab2 + 6ab - 8ab2 b. 12a3 - 16a2b - 6ab - 8 c. 12a3 - 16a2b - 6ab + 8b2 d. 4a3 - 6ab + 8b2 e. 4a3 + 6ab + 16b2

Mathematics

Sketch the graph and find the area of the region bounded by the graph of the function f and lines , and .

?

?

A. ?

 sq units.

?


B. ?

 sq units.

?


C. ?

 sq units.

?


D. ?

 sq units.

?


Mathematics