Problem. A child is bouncing up and down in a swimming pool. She jumps up out of the water, and then sinks back down into the water. The height of her nose above the water r seconds after she started playing is given by h(r) = 2 sin(2ax) +1. Use Desmos to sketch the graph of h from r = 0 to r = 1. Your graph should clearly show the coordinates of the maxima, minima and points where the graph crosses its midline. 2 0.25 0.5 0.75 -1 On your graph, highlight the portion of the graph that correspond to the child's nose being underwater. You may do this with a pen/pencil of a different color or by making small x's along the relevant portion of the graph. Use Desmos to calculate the amount of time that the child spent underwater from z = 0 to r =1. Round to two decimals places and include units in your answer. Set up an equation that can be used to find the x-intercepts of h. Solve your equation to find the exact values of the r-intercepts shown in the graph in #1. Your answers should be fractions, not decimals. Include units in your answers. 1.