{1 point) :1) Find a second degree polynomial x) (of the form 0.12 + In: + e) such that f(0) = 1,f'({}) = 2, and f"(0) = 1. fix) = _ b) Find a seoond degree polynomial 9(3) such that 9(0) = 5, g'(0) = 4, and g"(0) = 5. 9(3) 2 : :=: [1 point) Suppose y 2 x) is differentiable at the point a: = a. o) If g) 2 6, can you say anything about Emma\" f{:[:}? If so, enter the value below. If not, enter "unknown". Jim-mac x) = _ === b) If Blob\"!I x} 2 6, can you say anything about at)? If so, enter the value below. If not, enter "unknown". a) = a: {1 point} Suppose f is a differentiable function with ) = 4 and f' (0) = 2. Compute the following: a} 9'01) Where 9(3) = Im) 9'03) = b) h'(0) where 31(3) : 43(252 + l)_f(;e) me} = c} 39(0) where Mat) = [I+:;m] Mo) = EEE (1 point) For what interval is 1 g( x) = x2 + 6 concave down? Concave down on the interval:(1 point) a) Differentiate f (t) = et by first writing it as f (t) = f' ( t ) = b) Differentiate f(t) = est by first writing it as f (t) = et . et. f' ( t ) = c) Differentiate f(t) = est by first writing it as f (t) = et . e2t. f' ( t ) = d) If f(t) = ent for some whole number n, what do you think f' (t) will be? f' ( t ) = e) Based on your answer to part d), if f(t) = et, what is f' (t)? f' (t ) =(1 point) Let f and g be functions such that f (5) = 15, f' (5) = 13, g(5) = -16, and g'(5) = -11. Leth(x) = f(x)g(x). What is h(5)? What is h'(5)?b) h(t) = t+9+ 5 In(6)et + 414 h'(t)f) n(s) 48(V/3)* = e#(8s2) n (s) =