Please answer all questions and provide a brief explanation of the solution.

Question 1 7.2 pts If f(z ) = el tan- (2) , then f' (1) = Question 2 7.2 pts If a particle moves along a line according to the function s(u) = w - But , then the 02 01 Question 3 7.2 pts Find * given sin z - cosy - 2 = 0 - cot y O -cac y cos z Question 4 7.2 pts The function f(z) = 24 - 4x2 has O two relative minims and one relative two relative minims and no relative m Question 5 7.2 pts The number of inflection points of the curve f(z) = z* - 4x] is 01 02 Question 7.2 pts O - sin (2) O cos (2) O sin (z) - cos (z) Question 7 7.1 pts If f(z) = = is continuous at z = -3, then f(-3) = 03 Question 8 7.1 pts 0 -1 00 0 1 Question 9 7.1 pts Consider the function f(x) = (x - z)" for all real numbers x. The num points for the graph of f is 04 02 03 Question 10 7.1 pts The derivative of ele") is O elater ) Question 11 7.1 pts The equation of the tangent line to the curve y = = ; at the point (1, 7) is Dy-312 = -24 Oy - 72=0 Oy - 252 = -18 Oy+ 25z = 32 Question 12 7.1 pts The figure below show raph off? graph of the derivative of f 1. At the points where a = -3 and z = 2 there are horizontal tangents. I1. At the point where a = 1 there is a relative minimum point. I. At the point where z = -3 there is an inflection point. ill orly O ll and HI only Oil only Question 13 7.1 pts if f(z) - v4sin (z) + 2. then S'(0) = 01 O0 ON Question 14 7.1 pts fg(z) = 4 . then s' (2) = 01