The graph of a function f on the interval [0, 8] is shown in the figure. Compute the Riemann sum for f on [0, 8] using four subintervals of equal length and choosing the evaluation points to be (a) the left endpoints, (b) the right endpoints, and (c) the midpoints of the subintervals.


a. 18
b. 10
c. 10

Mathematics

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Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = xyi + y2j - 2yzk ; D: the solid wedge cut from the first quadrant by the plane  and the parabolic cylinder x = 9 - 4y2

A.
B.
C.
D.

Mathematics

For a certain group of animals, the running speed , in feet per second, is a linear function of the length , in inches.The relationship is  

.
?
If one animal is 5 inches longer than another, how much faster does it run?  
?

A. 10.65 feet per second
B. 10.2  feet per second
C. 2.08  feet per second
D. 2.04   feet per second

Mathematics

Decide if the answer is reasonable or unreasonable by rounding the numbers and estimating the answer. If the answer is not reasonable, find the correct answer.801.3 ÷ 22.3 = 35.93

A. Unreasonable, should be 0.3593 B. Reasonable C. Unreasonable, should be 359.3 D. Unreasonable, should be 3.593

Mathematics

Multiply. Change any mixed number to an improper fraction before multiplying.2 × 5

A. 7
B. 11
C. 10
D. 11

Mathematics