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Approximating the slope at a curve at a point. PART 1. Find the slope of the secant line containing the points (a, f(a)) and (o
Approximating the slope at a curve at a point. PART 1. Find the slope of the secant line containing the points (a, f(a)) and (o + h, u + h)] for the given function f and values a and h. That is, use the equation _ u + h) 7 3'0!) _ h min: Suppose f(5:] = gland o = 0. Then, When h = 1,111,: =:] When I; = 0.5, mm =:] When h = 0.1, mm =1 When h = 0.01, mm =:] Note: Decimals are allowed in this problem but you should type an exact value to avoid rounding errors. PART 2. Based on the slopes found in Part 1. above, what would be a reasonabie approximation to the slope of the line tangent to the curve z) = e"E at a = 0? meg] in which case, the equation of the line tangent to the curve z) = eI at a = [I would be: Note: Wpe answer in form y = ms: + b
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