Note: Please see below for the question details. I need help with all three questions please.

1.A13-foot ladder is leaning against a wall. If we pull the ladder away from the wall at a rate of6ft/s, how fast is the top of the ladder moving down the wall when the bottom of the ladder is12ft from the wall? (Enter an exact answer.) The ladder is moving down the wall at a rate offeet per second.

2.A rocket is launched so that it rises vertically. A camera is positioned17000ft from the launch pad. When the rocket is6000ft above the launch pad, its velocity is700ft/s. Find the necessary rate of change of the camera's angle as a function of time so that it stays focused on the rocket. Leave your answer as an exact number.

3.The absolute maximum of _________ at x=_________ and the absolute minimum of _______ at x=_________? (Note: Please use the picture below for question #3.

Find the absolute maximum and absolute minimum of the function f(x) = 2x 3 2x 2 5 3 - 3 over the interval [0, 3]. Enter an exact answer. If there is more than one value of x in the interval at which the maximum or minimum occurs, you should use a comma to separate them