Question 1 [4 points} Please submit a filex'pietureXsean of your work for full marks in the question. Remember to have a clear therefore statement. units and exact answers where applicable. lGiven the function {(25} = i . . . . . . r - 3] Determine the slope of the tangent to'xi at A: = 3 using rst principles. to = 3mg w. ir [2 marks] b] Determine the equation of the tangent line to'xi at it = 3. [2 marks] Question 2 (1 point) Determine, using the properties of limits, lim 3/(x) + x- X given lim f(x) = 6. x-2 x- 2 O 11 18 O 8 14\fQuestion 6 (1 point) Determine which of the following limits is represented by the following graph. -5 -3 -2 1 2 3 4 5 -2. -3 O 15x - 2 (x + 1) lim x- -25 5x - 2 O 2x - 5(x + 1) lim x- 25 2x - 5 O 2x - 5(x + 1) lim x- -25 2x - 5 O 15x - 2(x + 1) lim x-25 5x - 2Question T [1 point} Which ofthe following must be equal to litgix) so that the limit exists at the point with x-coordinate 3? (\"3. Nothing else. The one Limit is sufficient '\\___/ Question 8 [1 point} For f(x) = x3, which value has the smallest magnitude? / .; ":1 instantaneous rate of change at X = U \\ f .; Pi} average rate of change from x = U to X = 2 K K .; F} instantaneous rate of change at X = 6 \\- .:\"'_':1. average rate of change from x = 1 to x = 1 \\ Question 9 (1 point) Evaluate the limit, if it exists: lim x- - 3x + 2 x-1 x - 1 O -1 Oo O Does not Exist O1Question 10 (1 point) Determine lim 3-2x x-2 O - 81 O The limit does not exist O 1 81 O 1 81Question 11 (1 point) Determine the values of x for which the function 12 Ax) = is discontinuous. 2x- - 9x - 18 O NIW -6 O 6 O -0 O 6Question 13 (1 point) Determine which expression is the correct rationalization of the denominator of: 9V/10 V2-4V7 O 3 5+6 70 11 O 3 5-6V70 11 9v5+18 70 55 O 9V5+18\\70 55Question 13 (1 point) Determine which expression is the correct rationalization of the denominator of: 9V/10 V2-4V7 O 3 5+6 70 11 O 3 5-6V70 11 9v5+18 70 55 O 9V5+18\\70 55