Provide an appropriate response.If f(a) = 3 and f(x) is increasing on the interval [a, b], then which method of estimating the area under the graph of f(x) and above the x-axis will yield the highest value? Assume that n = 10 in all cases.

A. Using midpoints
B. Using left endpoints
C. Cannot be determined
D. Using right endpoints


Answer: D

Mathematics

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Answer the question.Which of the following would not be a reasonable answer in an applied problem that requires finding the number of cars parked in a parking lot?(i) -12  (ii) 64  (iii) 46  (iv) 5

Fill in the blank(s) with the appropriate word(s).

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Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = -9xz2i + 2yj + 3z3k; D: the solid wedge cut from the first quadrant by the plane  and the elliptic cylinder x2 + 9y2 = 16

A.
B.
C.
D.

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Write an equation to describe the variation. Use k for the constant of proportionality.x varies jointly as the square of y and the square of z.

A. xy2z2 = k B. x = ky2z2 C. x = k + y2 + z2 D. x + y2 + z2 = k

Mathematics

Factor completely. If the polynomial is prime, state so.25x2 - 49

A. (5x + 7)(5x - 7) B. prime C. (5x + 7)2 D. (5x - 7)2

Mathematics