Thursday

October 23, 2014

October 23, 2014

Posted by **Anastasia** on Saturday, February 26, 2011 at 10:31pm.

- Calculus-IVP -
**MathMate**, Saturday, February 26, 2011 at 10:47pmInitial value problem.

f"(x)=6x

f'(x)=3x² + C

f(x)=x³ + Cx + D

(each integration introduces one integration constant: C and D)

Given f(0)=1, and f'(0)=0

f(0) = 1 = 0³+C(0)+D => D=1

f'(0) = 0 = 3(0)² + C => C=0

Therefore

f(x)=x³+1

Since the function is a polynomial, its domain is (-∞,∞).

**Answer this Question**

**Related Questions**

Calculus - Find the horizontal asymptote of f(x)=e^x - x lim x->infinity (e^x...

calculus - For what value of the constant c is the function f continuous on the ...

calculus - For what value of the constant c is the function f continuous on the ...

calculus - State which of the conditions are applicable to the graph of y = f(x...

Calculus-Help Please - Find a function f(x), perhaps a piecewise function that ...

MATH - I have been trying to do this problem for a couple of days but i cant ...

calculus - What is the limit of the function as x approaches infinity? 4x^4 - 4^...

Calculus 3 - Determine whether the lines intersect(have a common point) and if ...

calculus - We were asked to solve the problem 1/x < 4. I solved it like so: 1...

calculus - consider the differential equation dy/dx= (y - 1)/ x squared where x ...