Perform the indicated operations.(8k2 + 2k + 4) - (4k2 - 3k - 1) + (4k2 + 6k + 1)

A. 8k2 - 11k + 4
B. 8k2 + 11k + 4
C. 16k2 + 11k + 6
D. 8k2 + 11k + 6


Answer: D

Mathematics

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Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 3 cos t, y = 3 sin t, ? ? t ? 2?

A. x2 + y2 = 1; Clockwise from
(1, 0) to (1, 0), one rotation

B. x2 + y2 = 9; Counterclockwise from
(-3, 0) to (3, 0)

C. x2 + y2 = 9; Counterclockwise from
(3, 0) to (3, 0), one rotation

D. x2 + y2 = 9; Clockwise from (3, 0) to (-3, 0)

Mathematics

Factor the trigonometric expression.cot2 x -  csc2x 

A. (cot x - csc x)2 B. (cot x - csc x)(cot x + csc x) C. (cot2 x - 1)(csc2x  + 1) D. (cot x - 1)(cot x + csc2x)

Mathematics

Fill in the blank with one of the words or phrases listed below.A fraction whose numerator or denominator or both numerator and denominator contain fractions is called a(n) .

A. improper fraction B. complex fraction C. mixed number D. proper fraction

Mathematics

Solve the equation.x -  =  - 

A.
B.
C.
D.

Mathematics