# Calculus

posted by
**Leanna**
.

Let f be the function defined for x >or= to 0 with f(0)=5 and f', the first derivative of f, give by f'(x)=e^(-x/4)sin(x^2).

A) Use the graph of f' to determine whether the graph of f is concave up, concave down, or neither on the interval 1.7<x<1.9. Explain your reasoning

I think since it is concave down because f'(x) is decreasing at this point.

B) On the interval 0<or=x<or=3, find the value of x at which f has an absolute maximum. Justify your answer.

C) Write an equation for the line tangent to the graph at f at x=2.