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1. Determine and explain what value(s) of a make the function f (m) given below continuous. ans1, 112 x): {(32)2+a, m>2 2. (a) Find an

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1. Determine and explain what value(s) of a make the function f (m) given below continuous. ans1, 112 x): {(32)2+a, m>2 2. (a) Find an equation of the tangent line of the curve y = x3 3x + 1 at the point (2, 3). [l-Iint: You mayr use the differentiation rules covered in class on Tuesday to compute the slope of the tangent ]ine.] Equation of tangent line (yint form): (b) Find an equation of the tangent ne to the graph of y 2 x) at a: = 5 if 9(5) 2 3 and g'(5) = 4. Equation of tangent line (yint form): (c) If an equation of the tangent line to the curve 1; = f(x) at the point a: = 2 is y = 4:1: 5, nd f(2) and f'(2)

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