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Questions 1. Using Winplot or other graphing software sketch the graph of y = sin(2x). (Unit 3 Activity 1 has instructions on the use of

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Questions 1. Using Winplot or other graphing software sketch the graph of y = sin(2x). (Unit 3 Activity 1 has instructions on the use of Winplot.) a. Using tangents set up a table of values for X f'(x) - TO -3T/4 -TC/2 -Tt/4 2 1 b. Plot the points and find a function that will join the points to form a continuous curve. c. What is the equation for the derivative of f (x) = sin(2x)? 2. Complete a similar process for the equation y = (0.75)*. (Note: The equation of the derivative will be of the form y = k(0.75)x.) 3. Find the derivative of the following functions using the lim ( * th) - f(x) a. f (x) = x2 +5x b. f ( x ) = 2 8 Show all your steps

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