Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum 
, using the indicated point in the kth subinterval for ck.f(x) = cos x + 3, [0, 2?], midpoint
A. 
B. 
C. 
D. 
Answer: D
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Find the maximum and minimum of the function f over the closed and bounded set S.f(x, y) = (x + y)2; S = {(x, y): 
+ 
? 1}
A. f(
, 
) = f(- 
, - 
) = 6; maximum. f(x, -x) = 0 for - 
? x ? - 
; minimum.
B. f(
, 
) = f(- 
, - 
) = 6; maximum. f(x, -x) = 0 for - 
? x ? 
; minimum.
C. f(
, 
) = 6; maximum. f(- 
, - 
) = 6; minimum.
D. f(
, 
) = 6; maximum. f(- 
, - 
) = -6; minimum.
Decide whether the figure is convex or concave.
A. Convex B. Concave
Solve the problem.The volume of a cube with sides of length s is given by V = s3. Find the volume of the cube.
A. 19,683 x6 yd3 B. 81 x4 yd3 C. 729 x9 yd3 D. 1458 x2 yd3
Simplify by first converting to rational exponents. Assume that all variables represent positive real numbers.
A. 2z
B. z6
C. 
D. z24