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Que.2 Do the following sums.(T/1) 1. For the function f(x) = x* -2x3 -12x2 + 3 , determine the points of inflection and the intervals of concavity. 2. Find the equation of the line that is tangent to the function y = - 4sinx at x = (4 marks) 3. Use the first principals definition to determine dy/dx for y = x (4x + 5). (3 marks) 4. A 150-N crate is resting on a ramp that is inclined at an angle of 10' to the horizontal. Resolve the weight of the crate into rectangular vector components that keep it at rest. 5. Identify the coordinates of any local extrema of the function y = 2e" and classify each as either a local maximum or a local minimum. (5 marks) 6. Given the points P(-6 ,1) , Q(-2 ,-1) and R(-3 ,4) , find a. QP b. | RPVZ c. The perimeter of APQR 7. Determine the value of k such that u=[k,3,6] and v=[5, k, 8] are orthogonal