Question 1 [15 marks] (a) Let f(x)=exln(x21). Find f(2). (3 marks) (b) Suppose that 2y3xy+10x+x3=20. Find an explicit equation for y and then evaluate y at (x,y)=(2,3). (6 marks) (c) Consider the function g(x)=x2ex2x. The second-order Taylor polynomial about x=1 is given by g(x)A+B(x1)+C(x1)2 for constants A,B, and C. Find the values of these constants. (6 marks) Question 1 [15 marks] (a) Let f(x)=exln(x21). Find f(2). (3 marks) (b) Suppose that 2y3xy+10x+x3=20. Find an explicit equation for y and then evaluate y at (x,y)=(2,3). (6 marks) (c) Consider the function g(x)=x2ex2x. The second-order Taylor polynomial about x=1 is given by g(x)A+B(x1)+C(x1)2 for constants A,B, and C. Find the values of these constants. (6 marks)