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ANSWER ALL QUESTIONS BY SHOWING ALL THE STEPS

Course: Calculus I

QUESTION 1 (10 marks) dy Useimplicit differentiation, find E for a) y2 +33Ir3 =x+tany+20 b) 375 +103:4 =xy+xsinx +20x QUESTION 2 (10 marks) A ladder 8 meters long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 2 meters/second, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 4 meters from the wall? QUESTION 3 Use a linear approximation to estimate the following value a) V4905 b) 2.13