2. Evaluate f'(x) for f(x) = (x - 3x+9)8. .6 3. Find the third derivative of f(x) = 2x10 x + 3x + x 5. 4. Find the equation of the tangent line to the curve y = x + 2x - 3 at the point (2,5). -2x - 3x + 4 where the slope of the tangent line is 5. Find the point on the parabola y = - 9. 6. The motion of a particle is described by the position function s(t) = 2t 15t + 33t+17, t> 0, where t is measured in seconds and s(t) in metres. a) When is the particle at rest? b) When is the acceleration of the particle positive? 7. A snowball melts so that its surface area decreases at a rate of 0.6 cm2/min. Find the rate at which the radius decreases when the volume is 36 cm. Hint: the volume of a sphere is V = 4 3 3 8. Alice is driving north at 80 km/h and Bob is driving east at 50 km/h. Both cars are approaching the intersection of the two roads. At what rate is the distance between the two cars decreasing when Alice's car is 0.5 km from the intersection and Bob's car is 0.8 km from the intersection?