Need help with some Calculus?

1 ⤊

I'm suppose to find f(x) by using the point (0,4):

f(x) = e^-x + x^2 ; (0,4)

2007-06-25 04:05:10 · 2 answers · asked by Yvy 1 in Science & Mathematics ➔ Mathematics

Is this the ques. related to numerical analysis....
o.w.
in the ques. x=0 , y=4
therefore f(x) = e^-0 + 0^2 = 1

2007-06-25 04:22:35 · answer #1 · answered by niti 2 · 0⤊ 0⤋

Is this f `(x) = e^(-x) + xÂ² ?
Upon integrating:-
f(x) = - e^(-x) + xÂ³/3 + C
4 = - 1 + 1/3 + C
4 = -2/3 + C
C = 14/3
f(x) = - e^(-x) + xÂ² + 14/3

2007-06-28 20:17:52 · answer #2 · answered by Como 7 · 1⤊ 0⤋