MCV4U Unit 2 : Summative test Application of derivatives. Knowledge Thinking Communication Application Total 40 20 20 20 100 Part A: Knowledge [40] 1. Calculate the limit values a. lim 1+x+2x2 151 2-x b. lim x2+5x+6 151 X--2x2+8x+12 2. Calculate dy dx a. y = Vx2+5 151 b. y = x3+1 [5] 2x c. y = x(x + 1) 151 d. y = 2xvx + 1 151 e. y = e*In (3x) 151 f. sin(3x) In (x2 + 1) [5] Part B: Thinking [20] The distance function represents s(t) = 20t2 + 30t + 100. Here s(t) in metres and time t in seconds. Determine the followings. 1. Initial distance [51 151 2. Speed at t = 5 151 3. Acceleration att = 8 4. At what time, the distance will be 200m. 151