Question $3(10$ points$)$

Part A$)$ Solve the following initial value problem by finding $f(x)$ which satisfies both of the equations:

$f^{\text{'}}(x)=3x^2+4x+2$

$f(0)=5$

Part B$)$ Calculate $f(4)$ using the function $f(x)$ you found in Part A$.$

Ent the decimal form of $f(4)$ in the box below, using $3$ decimal places.

Your Answer:

Answer