Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = x2 between x = 3 and x = 7 using the midpoint sum with four rectangles of equal width.

A. 126
B. 105
C. 117
D. 86


Answer: B

Mathematics

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Evaluate the factorial expression., where n = 51 and r = 8

A. 2.567 × 1013 B. 2.567 × 1012 C. 5.134 × 1013 D. 2.567 × 1014

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Find the area of the figure. Use 3.14 for ?. Round your answer to the nearest tenth.

A. 3.1 m2 B. 1.6 m2 C. 0.8 m2 D. Not enough data

Mathematics

Solve the problem.The length of the diagonal of a box is given by D =  where L, W, and H are the length, width, and height of the box. Find the length of the diagonal, D, of a box that is  long,  high, and  wide. Give the exact value.

A. 30 ft
B.  ft
C.  ft
D. 10 ft

Mathematics

Solve the equation by completing the square.z2 + 16z + 43 = 0

A. {8 ± }
B. {-8 ± }
C. {8 + }
D. {-16 + }

Mathematics