Let g() = e c + f() and h() = e k f(), where f(0) = 3,

Let g(ϰ) = e^cϰ + f(ϰ) and h(ϰ) = e^kϰf(ϰ), where f(0) = 3, f'(0) = 5, and f"(0) = –2.

(a) Find t'(0) and g"(0) in terms of c.

(b) In terms of k, find an equation of the tangent line to the graph of h at the point where ϰ = 0.