\f2. Find the following limits using the appropriate technique. Express the answer in reduced fraction form. lim b) 2-vr-1 a) lim\fOx 4. State the x-coordinate(s) on the graph of 2x +1 at which the tangent is perpendicular to jax+ 5. [5] 5. A particle rises vertically and is represented by the equation h() =91 + 3/" -1 120, where h is the height in metres I seconds after the explosion. a) When does the particle reach its maximum height? [4] b) What is the acceleration of the particle at its maximum height? 1216. Alan is building an open box with a square base. The box has a surface area of 10 ma. What are the dimensions of the box that maximize the volume? Round answers to two decimal places [5] 7. An airplane is heading due north at 770 km/h when it encounters a wind which blows in the SouthEast direction at a speed of 100 km/h. Determine the resultant velocity of the airplane. Draw a vector diagram of this situation. Round answer to one decimal place. [4]8. Given f(x) = 19, determine the following for the graph of J (x). [2] a) domain, and * and ) intercepts [2] b) asymptote(s) [3] c) critical point(s) and intervals of increase/decrease [2] d) point(s) of inflection and intervals of concavity[3] e) sketch the graph of the function showing all important features 9. Given vectors # = (3,-1,4) and "= (-2.2,1) find: [3] a) the angle between " and V - express the answer to the nearest degree [2] b) the area of a triangle having sides " and V - Round answer to one decimal place[2] 9) the vector projection of a onto V. [2] d) the unit vector in the direction of u + v