Application of Derivatives

please help me to answer all of these.

1.) Find the equation of the tangent and normal lines to each of the following curves.
a.) y = 3x^2 - 2x + 5 at x = 3
b.) y = x ln x at x = e

2.) Find the angle between the curves y = 3x^2 and 4x^2 + 5x - y +6 = 0.

3.) Determine the rate of change of volume of a cube with respect to its diagonal if its edge is 8 cm.

4.) If the rate of change of the surface area of a sphere with respect to its radius is 16π sq cm/cm, find the diameter of the sphere.

5.) Draw the curve y = 2x^3 - 12x^2 - 5x

6.) Find the equation of the line tangent to the curve y = 2x^3 - 12x^2 - 3x + 1 at its point of inflection.

7.) If the slope of the curve y = ax^3 - 3x^2 - 5 is 21, find the value of a.

8.) The slope of the curve y = ax^3 - bx^2 + cx - 3 at x = 2 is 5. If the point of inflection of the curve is at (3,1), find the sum of a, b, and c.