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Knowledge and Understanding (11 Marks) Provide a complete solution to each question. 1. Find the equation of the tangent line to f (x) = 2x3

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Knowledge and Understanding (11 Marks) Provide a complete solution to each question. 1. Find the equation of the tangent line to f (x) = 2x3 - 4x + 7 at (2, 15) using instantaneous rate of change. [K/U 4] 2. Consider the vectors a = 21 + 4] - 6k, b - -3it k , d= 3j -2k a) Find the magnitude of the vector a. [K/U 1] MCV4U FINAL EXAM page 1 of 14MCV4U FINAL EXAMINATION Name Date: c) Find the vector m = -3b. [K/U 1] d) Find the magnitude of the vector d = c - b. [K/U 2] e) Write the vector 1 =-2a + 3b - 4c as an algebraic vector in components form. [K/U 3] MCV4U FINAL EXAM page 2 of 14

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