Use reduction formulas to evaluate the integral.

A.  sin8 x -  sin10 x + C
B.  cos6 x -  cos8 x + C
C. (sin8 x - sin10 x) + C
D.  sin6 x -  cos10 x + C


Answer: A

Mathematics

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Find the intersection.-2x + 7y = -8, 2y + 2z = 6

A. x = 14t - 58, y = 4t + 6, z = -4t
B. x = 14t + , y = 4t + 3, z = -4t
C. x = 14t - , y = 4t - 3, z = 4t
D. x = 14t + , y = 4t + 3, z = -4

Mathematics

Write, as indicated, the converse, inverse, or contrapositive for the statement.If the sum of the interior angles of a geometric figure is 180 degrees, then the figure is a triangle. (contrapositive)

A. If a geometric figure is not a triangle, then the sum of the interior angles is 180 degrees. B. If the sum of the interior angles of a geometric figure is not 180 degrees, then the figure is not a triangle. C. If a geometric figure is a triangle, then the sum of the interior angles is 180 degrees. D. If a geometric figure is not a triangle, then the sum of the interior angles is not 180 degrees.

Mathematics

Solve the problem.Which of the following investments would not be considered a primary asset class?

A. precious metals B. stock swaps C. cash D. real estate

Mathematics

Find the standard matrix of the linear transformation T. T: ?2 -> ?2 first performs a vertical shear that maps e1 into e1 + 3e2, but leaves the vector e2 unchanged, then reflects the result through the horizontal x1-axis.

A.

B.

C.

D.

Mathematics