PLEASE ANSWER EVERYTHING WITH DETAILED SOLUTIONS!! CHOOSE ONE OR SOLVE BOTH OF THE PROBLEMS IN QUESTION 8.

Question 2 - Limit of Difference Quotient 1 5 marks Complete ONLY ONE of the following. Determine the following limit algebraically from first principles by taking the limit of the difference quotient. 2 a ) y 2x-1 /5 marksQuestion 8 - Optimization and Related Rates / 4 marks Provide a solution to ONLY ONE of the following problems: a) A two-room enclosure is to be built. The outline of the enclosure forms two identical adjoining rectangles. as shown in the diagram below. If there is 180 m of fencing available and the fence width cannot be less than 9 m. what dimensions of the corral will maximize the enclosed area? / 4 marks \"'1 HT H c) The number of bacteria.N(t), in a culture at time t, in hours is modeled by the following function. What is the maximum number of bacteria in the culture over the time interval t E [0, 40] and at what time does this maximum occur? N(t) = snowE + 600 /5 marks