For the Questions:

A = 8

B = 5

C = 2

2. (a) Find a power series for the function f : (0,00) + R given by f(x) sin s about the point r = A. Hint: The Taylor series for x H sinx may be helpful. (b) Find the Taylor series for the function f : (0,00) + R given by f(x) = log r about the point x = B. 3. Plot the polar curves ri(0)= (A+B+C) sin 6 and r2(0)=C. Compute the area inside r but not inside 2. 4. Plot the functions y : R + R, Y2 : R + R given by y () = -Ax2 Br + C and y2(x) = de-1 1. Suppose we are given 21 and 22 (with 21