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
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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)
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, ?)
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)
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