COMMUNICATION 1. Sketch a function that is continuous but not differentiable over its domain. To receive full marks, you must clearly indicate where and why the function is not differentiable. (4 marks) 2. The Calculus teacher wrote the following problem on the board. Find - dxao for y = 79x79. As he was walking into class, Oliver looked at the problem and said, correctly: "Easy! The answer is zero!" Explain (do not calculate) how Oliver was able to compute this so quickly. (2 marks)THINKING 1. The tangent line(s) of f (x) = (x - 2)2 + 3 is also the tangent line(s) of g(x) = -x + 2x Find the tangent line(s). (6 m 2. For f (x) = xx52 (mx + b, x > >' determine m, b such that f (x) is differentiable everywhere.APPLICATION 1. A particle moves back and forth along a straight line. Its position, in meters, relative to the origin, at any time t, in seconds, is given by s(t) = 2t3 -7t2 + 4t + 1. Find the following and round your answer to the nearest tenth, if necessary. (8 mark a. The average velocity between 2 and 6 seconds. b. The velocity when the particle is at the origin. c. When the particle is slowing down. d. The total distance travelled after 8 seconds. 2. There are two tangents to the curve y = x that passes through (0, -4). Find the equation for the tangents. (3 mark