1.) [5 points] Algebraically compute the exact value of the limit lim 3x-6x-45 x-5 2x-11x + 5 or explain why the limit does not exist. 2.) [5 points] The yearly demand and supply functions for MeerkatBox cell phone cases are given by p = -0.2x22x + 65 p = 0.1x + 3x + 5.8 respectively, where p is measured in dollars and x is measured in units of a hundred thousand cases. Algebraically compute the equilibrium quantity and price, using correct units in your answers and rounding to two decimal places. 3.) [5 points] How much would a parent have needed to invest 18 years ago into an account earning 6% interest compounded monthly to have a total of $79,430 today (the current cost for four years of tuition at Penn State)? Round your answer to the nearest whole number and use appropriate units. 4.) [5 points] Using the limit definition of the derivative (the difference quotient), algebraically compute f'(x) if f(x) = -2x+3x+4 Note: No credit will be given for using the power rule on this problem.