QUESTION 3 3.1 Determine the following limit: lim 2,6056 9,; sm46 (3) 3.2 Differentiate the following with respect to x. Simplify your answer if possible: 3.2.1 y =(2J)(e4'+3) (3) tanx3 3.2.2 = - (5) y tan x + 3 [TURN OVER] - 3- MAT1581 October 2020 QUESTION 3 (CONTINUED 3.2.3 y = n(3\".e\") (4) 3.3 A moving electron obeys the law 3 = 2 4t 6:2 + 3:3 where s is the distance from the nucleus in nanameter and t the time taken in microseconds to travel this distance. 3.3.1 Find the velocity of the electron after 2 microseconds. (3) 3.3.2 Determine the time for the electron to reach an acceleration of zero nanometers per microsecond squared. (3) [21]