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: A
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Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 3xi + 2xj + 7zk; C: the cap cut from the upper hemisphere x2 + y2 + z2 = 16 
by the cylinder 
A. 3? B. 2? C. 4? D. 8?
What property of whole-number multiplication justifies the equality?(2 ? 6) ? 7 = 2 ? (6 ? 7)
A. Multiplicative-identity property B. Commutative property C. Distributive property D. Associative property
Solve the problem.A farmer has 600 yards of fencing to enclose a rectangular garden. Express the area A of the rectangle as a function of the width x of the rectangle. What is the domain of A?
A. A(x) = -x2 + 300x; {x|0 < x < 300} B. A(x) = x2 + 300x; {x|0 < x < 300} C. A(x) = -x2 + 600x; {x|0 < x < 600} D. A(x) = -x2 + 300x; {x|0 < x < 600}
Determine whether the equation has no solution, one solution, or infinitely many solutions.4x = 4x - 8
A. No solutions B. Infinitely many solutions C. One solution