Integrate the function.
A. tan-1 2x - + C
B. ln + C
C. + C
D. tan-1 2x +
+ C
Answer: D
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Factor completely. If the polynomial is prime, state so.9 - 4x2
A. prime B. (3 + 2x)2 C. (3 - 2x)2 D. (3 + 2x)(3 - 2x)
State the quadrant in which the point lies.(17, -16)
A. Quadrant IV B. Quadrant II C. Quadrant I D. Quadrant III
Provide an appropriate response.Years ago, people used fountain pens. The ink was very "wet" and so a blotter was used to absorb "wet" ink left on the surface of the paper. Suppose you have a single sheet of graph paper and that you have just used your fountain pen to graph the one-to-one function f. Explain how, if the ink is "wet", you could now obtain the graph of f-1 using only your sheet of graph paper. (Hint: Fold the sheet of graph paper.)
What will be an ideal response?
Solve the following quadratic application using the quadratic formula.A ball is thrown downward with an initial velocity of 35 meters per second from a cliff that is high. The height of the ball is given by the quadratic equation
where h is in meters and t is the time in seconds since the ball was thrown. Find the time that the ball will be
from the ground. Round to the nearest tenth.
A. It would take approximately 2.4 seconds for the ball to be 20 meters from the ground. B. It would take approximately 1.5 seconds for the ball to be 20 meters from the ground. C. It would take approximately 1.4 seconds for the ball to be 20 meters from the ground. D. It would take approximately 1.3 seconds for the ball to be 20 meters from the ground.