Noelle stands at the edge of a cliff and drops a rock. the height of the rock, in meters, is given by the function f(x)=−4.9x2+17 , where x is the number of seconds after noelle releases her rock. cesar, who is standing nearby on the ground, throws a rock straight up in the air. the height of cesar’s rock, in meters, is given by the function g(x)=−4.9x2+13x , where x is the number of seconds after he releases his rock. there is a moment when the rocks are at the same height. what is this height?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Find cot x if sin x cot x csc x = √2

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x+1|+1? shift 1 unit left and 1 unit down shift 1 unit left and 1 unit up shift 1 unit night and 1 unit down shift 1 unit nght and 1 unit up