Perform the indicated operation and write the answer in the form  where a and b are real numbers.(6 + 3i) - (-8 + i)

A. -14 - 2i
B. 14 + 2i
C. -2 + 4i
D. 14 - 2i


Answer: B

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 = 4 cos t, y = 4 sin t, ? ? t ? 2?

A. x2 + y2 = 1

Clockwise from (1, 0) to (1, 0), one rotation
B. x2 + y2 = 16

Counterclockwise from (4, 0) to (4, 0), one rotation
C. x2 + y2 = 16

Counterclockwise from (-4, 0) to (4, 0)
D. x2 + y2 = 16

Clockwise from (4, 0) to (-4, 0)

Mathematics

Identify the interval where f is increasing or decreasing, as indicated. Express your answer in interval notation.f(x) = (x - 3)2 - 3; decreasing

A. [0, 3] B. (-?, 3] C. [-3, 0] D. [3, ?)

Mathematics

Decide on a suitable restriction on the domain so that the function is one-to-one and the range is not changed.f(x) =  

A. [-3, 3) B. [0, 3] C. [-3, ?) D. (-?, 8)

Mathematics

Find the vertex and axis of symmetry of the graph of the function.f(x) = -4x2 - 2x - 9

A. ; x = 
B. ; x = - 
C. (4, -9); x = 4
D. ; x = -4

Mathematics