SOLUTION: If x=at^2, y=2at, then d^2y/dx^2 = a) -1/t^2 b) -1/2at^3 c) -1/t^3 d) 1/t

Algebra ->  Rational-functions -> SOLUTION: If x=at^2, y=2at, then d^2y/dx^2 = a) -1/t^2 b) -1/2at^3 c) -1/t^3 d) 1/t      Log On


   

Question 976800: If x=at^2, y=2at, then d^2y/dx^2 =
a) -1/t^2
b) -1/2at^3
c) -1/t^3
d) 1/t
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
dy%2Fdx=%28dy%2Fdt%29%2F%28dx%2Fdt%29
dy%2Fdt=%282at%29'=2a
dx%2Fdt=%28at%5E2%29'=2at
dy%2Fdx=%282a%29%2F%282at%29=1%2Ft
d%28dy%2Fdx%29%2Fdt=%281%2Ft%29'=-1%2Ft%5E2
d%5E2y%2Fdx%5E2+=%28d%28dy%2Fdx%29%2Fdt%29%2F%28dx%2Fdt%29
d%5E2y%2Fdx%5E2+=%28-1%2Ft%5E2%29%2F%282at%29=-1%2F%282at%5E3%29
Answer: b)