Please answer all questions and show work:

11) Lety = f(x) describe the curve produced by O y = 2x - 1 x' + y- - 2y =7 where f(2) = 3. What is the equation of the O y=5-x tangent line at (2, 3)? O y= 3+ 5(x - 2) O y=x- 1 12 Suppose you wanted to determine the Taylor series for O f(x) = x+1 f(x) = x-+ 1. On which function's Taylor series would you base your variable substitution, assuming that you know the O f ( x)=x-+x+1 Taylor series of each? O f (x) = (x+ 1)- O f(I) = 72+1 13) If you approximate the function O 25 (x - 1) for some z bewteen 1 and I f (I) = 21 - near x = 1 with the Taylor O 1 polynomial 25 (X - 1)" for some z bewteen 1 and I 1 P3 (x) = (2 - 1)+ 5(2-12 - 2(x-1)3, O 825 (X - 1)" for some z bewteen 1 and I which of the following is the remainder? O 1 3225 (X - 1)" for some z bewteen 1 and a 14 Which of the following are the radius and O Radius = 1, Interval = [0, 2) interval of convergence of 2 (2 - 1)" Radius = 1, Interval = (0, 2) In(n + 1) O Radius = 1, Interval = [0. 2] O Radius = 1, Interval = (0, 2] 15 Find the radius and interval of convergence of O Radius = 4, Interval = [-7, 1) 30 (2 - 3)" O Radius = 4, Interval = [- 4. 4) n4n Radius = 4, Interval = [-1, 7) Radius = 4, Interval = [-1, 7]