1. Determine the following limits (if they exist). (2 marks each) a. lim (33:4 l 251:2 5) $+3 4 . 2 i C. 11m(m+a: 20) L'>4 823: 1. Evaluate the following limits (if they exist). (3 marks each) a. 11111 ("32:11) as>1 w b. 11m (L164) {IS>0 . 3 ,4 c. 11m (rm ) m>64 50' 1. From first principles (i.e. using the tangent slope method), find the slope of the following curves at the given value of :13. (3 marks each) a. f(a:) = 2x2 6:cat:c : 3 b. y=3w3+1atm=-4 1. Look at the graph below of the derivative f'(:1:). From this, make a sketch of the original function f (w) and of the second derivative f " (:13) and explain your reasoning. (7 marks)