Question

Let y= 3 t^5 - 3.

Find D, E, and F so that (d^2 y)/(d t^2) = Dt^E +F

Answer 1

D=60
F=0

Answer 2

Differentiate \[f'(t) = 15t^4 \]

\[f"(t) = 60t^3\]

D = 60, E = 3 and F = 0

Answer 3

what if its (dy)/(dt)|_(t = 2) =

Answer 4

15*2^4

Answer 5

so it would be 240?

Answer 6

Yes

Answer 7

if so how could I find the 2nd deriv? from 240

Answer 8

you can't find the 2nd derivative.... in terms of t before doing anything

Answer 9

so I would have to go back and plug 2 into the 2nd deriv equation?

Answer 10

for t

Answer 11

Yeah

Answer 12

ok thanx