Evaluate the definite integral using the definition.

A. 18
B. 54
C. 162
D. 324


Answer: C

Mathematics

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Use the definition to find an expression for the instantaneous acceleration of an object moving with rectilinear motion according to the given function. The instantaneous acceleration is defined as the instantaneous rate of change of the velocity with respect to time. v = 2t4 - 4t3 + 8[v is the velocity]

A. 2t3 - 4t2 + 8 B. 8t3 - 12t2 + 8 C. 8t3 - 12t2  D. 2t3 - 4t2 

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Factor by grouping.15x2 + 18x - 20x - 24

A. (3x + 4)(5x - 6) B. (15x + 4)(x - 6) C. (15x - 4)(x + 6) D. (3x - 4)(5x + 6)

Mathematics

Decide if the function is linear.y = 4x + 9

A. Yes B. No

Mathematics

Solve the problem.Find a so that the graph of f(x) = loga x contains the point (10, 14).

A.
B.
C.
D.

Mathematics