Factor when possible.x3 - 36x + 5x2 - 180
A. (x + 6)(x - 6)(x + 5)
B. (x - 6)2(x + 5)
C. (x2 - 36)(x + 5)
D. prime
Answer: A
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Find the absolute extreme values of the function on the interval.f(x) = ln (-x), -6 ? x ? -1
A. absolute minimum value is 0 at x = -1; no maximum value B. absolute minimum value is 0 at x = -1; absolute maximum value is ln 6 at x = -6 C. absolute maximum value is 0 at x = -1; absolute minimum value is -ln 6 at x = -6 D. no minimum value; no maximum value
For the triangle, based on the side lengths given, decide whether it is equilateral, isosceles, or scalene.
A. scalene B. isosceles C. equilateral and isosceles
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 = 5 sin t, y = 4 cos t, 0 ? t ? 2?
A. +
= 1
Counterclockwise from (5, 0) to (5, 0), one rotation
B. +
= 1
Counterclockwise from (0, 4) to (0, 4), one rotation
C. +
= 1
Counterclockwise from (0, 5) to (0, 5), one rotation
D. +
= 1
Counterclockwise from (4, 0) to (4, 0), one rotation
Solve the quadratic equation using completing the square.4x2 - 32x = -60
A. {-3, -5} B. {3, 5} C. {4, 3} D. {4, -5}