Please help and show work

a. Find an equation for the line perpendicular to the tangent to the curve y = x" - 9x + 2 at the point (3,2). b. What is the smallest slope on the curve? At what point on the curve does the curve have this slope? c. Find equations for the tangents to the curve at the points where the slope of the curve is 18. . . . a. The equation is y = b. The smallest slope on the curve is (Simplify your answer.) The curve has the smallest slope at the point (Simplify your answer. Type an ordered pair.) c. Choose the correct answer below. O A. y= 18x - 52 and y = 18x - 56 O B. y= 18x - 52 and y = 18x + 56 O C. y= 18x + 52 and y = 18x - 56 O D. y= 18x + 52 and y = 18x + 56line and normal line to the cissoid 3,205 x): x3 Find equations for the tangent 3; Q. of Diocles y2 (6 - x) = 4x3 at (3,6). Q The equation of the tangent line to the curve at the point (3,6) is D. The equation of the normal line to the curve at the point (3,6) is El