Use the binomial theorem to find the coefficient of x^ay^b in the expansion of (5x^2 + 2y^3)^6, where a) a = 6, b = 9. b) a = 2, b = 15.c) a = 3, b = 12. d) a = 12, b = 0.e) a = 8, b = 9.

Crickets can jump with a vertical velocity of up to 14 ft/s. which equation models the height of such a jump, in feet, after t seconds? h(t) = –16t2 + v0t + h0 h(t) = –16t2 + v0t + 14 h(t) = –16t2 + 14t h(t) = –16t2 + 14t + 14 what is the maximum height the cricket reaches? round to the nearest thousandth. h = feet