Evaluate the integral.

A. -  + C
B.  + C
C.  + C
D. -  + C


Answer: D

Mathematics

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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = zk , S is the surface of the sphere x2 + y2 + z2 = 16 in the first octant , direction away from the origin

A. 0
B. 16?
C. ?
D. ?

Mathematics

Let the function  be defined by the equation , where x and  are real numbers. Find the domain and range of the function

.
?

A. ?domain: , range: 
B. ?domain: , range: 
C. domain: , range: 
D. ?domain: , range: 
E. ?domain: , range: 

Mathematics

Use the given information to find the exact value of the trigonometric function.sin ? = - ,? lies in quadrant IVFind sin .

A.
B. - 
C. - 
D.

Mathematics

Use the properties of logarithms to find the value of the expression.Let logb A = 3 and logb B = -2. Find logb 2.

A. 2
B. 0.500
C. -2.449
D. 2.449

Mathematics