Part I. Solve the following problems: Show all possible solutions. 1. The tangent to the curve is _.(3marks) 2. Find the slope of the line tangent to the curve y=x3 -2x+1 at x=2 (Smarks) 3. Find the slope of the line tangent to the curve y=x3l4 -2x+1 at the point (-1.2). (3marks) 4. Find the slope of x2 +y=8 at the point (-22). (3marks) 5. The normal to the curve is_.(3marks) 6. In differentials of functions, it x change by a small amount dx, then, what will happen to y? (3marks) 7. Convert each pair of polar coordinates to rectangular coordinates. (2, 3M2 ). (3marks) 8. Convert each pair of rectangular coordinates to polar coordinates where r > 0 and 0 g B