A child flies a kite at a height of 50 ft, the wind carrying the kite horizontally away from the child at a rate of 26 ft/sec. How fast must the child let out the string when the kite is 130 it away from the child? - -. The child must let out the string at a rate of it/sec when the kite is 130 ft away from the child. (Simplify your answer.)The original 24 m edge length x of a cube decreases at the rate of 5 m/min. a. When *=6 m, at what rate does the cube's surface area change? b. When x=0 m, at what rate does the cube's volume change?Assume that all variables are implicit functions of time t. Find the indicated rate. 2 dx dy Y 2 + 2y = 20: =3 when x = 4 and y = - 2; find dt dy ( Simplify your answer.) dt