Use the integral test to determine whether the series converges.

A. converges
B. diverges


Answer: B

Mathematics

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Write an equation for a function that has a graph with the given characteristics.The shape of y = x2, but upside-down and vertically stretched by a factor of 8.

A. f(x) = 8(x - 8)x2 B. f(x) = -8x2 C. f(x) = 8x2 D. f(x) = (x - 8)2

Mathematics

Solve.36 = 7x - 6

A. 6 B. 39 C. 35 D. 11

Mathematics

Find all of the real zeros of the function. Give exact values whenever possible. Identify each zero as rational or irrational.f(x) = x3 - 7x2 + 10x + 6

A. 3 (rational), -2 +  (irrational), and -2 -  (irrational)
B. 3 (rational), 2 +  (irrational), and 2 -  (irrational)
C. 3 (rational),  (irrational), and - (irrational)
D. 3 (rational), 1 +  (irrational), and 1 -  (irrational)

Mathematics

Solve triangle ABC. If necessary, round the answer to the nearest tenth. 

A. C = 103°, a = 16 m, b = 9 m B. C = 103°, a = 44.4 m, b = 25.1 m C. C = 103°, a = 9 m, b = 16 m D. C = 97°, a = 8.8 m, b = 15.7 m

Mathematics