1. The curve with the equation Sin(9:2) + cos(y2) : cry is called the Narukamz' Twist. 10" I I x I i F7 10F 10 5 o 5 1o (a) Find a formula for the Slope of the tangent line to this curve at an arbitrary point (3:, y) on the curve. (b) Find the equation of the tangent line to this curve at the point (0, HT/2). (Write your answer in the form y 2 mil: + b.) 2. Suppose that f is a twice differentiable function (everywhere). The socalled arclength kernel of f is the function h dened by W?) = V 1 + f'(5'3)2 and is used to help compute the length of a curve y = f (:6) (We won't be doing that here.) (a) Suppose that f(2) = 4 and f'(2) = 3 and f\"(2) = 6. Compute h'(2). (b) Compute the formula for h'(:c) when f(m) = sin(:c)