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2. Given the function f(z) = 2 + 3z + 1, a. Find the instantaneous rate of change when & = 1 using the secant

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2. Given the function f(z) = 2 + 3z + 1, a. Find the instantaneous rate of change when & = 1 using the secant method. [4 marks] b. Find the value of the derivative at & = 1 using first principles. [4 marks] 4 The path of a baseball relative to the ground can be modelled by the function d(t) = t> + 8 + 1 where d(t) represents the height of the ball in metres after seconds. a. Find the average rate of change of the ball between 1 and 3 seconds. [4 marks] b. Using the secant method, find the instantanecus rate of change at 2 seconds. [ marks] Find the slope of the tangent line at point (-2, 2) on the curve f{:t:} 222 4 3z

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