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1) Consider two points P at x = 3 and Q at x = a on the curve f(x) = 3(x + 2). Answer


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1) Consider two points P at x = 3 and Q at x = a on the curve f(x) = 3(x + 2). Answer the following: [2+3+1+2 = 8 Points] a) Find a formula to calculate the slope of secant line PQ. b) Using a formula from (a), find the slope of secant lime PQ (mpo) for various values of a. Give all values to 5 decimal places. MpQ -3.5 above. -3.1 -3.01 -3.001 c) Estimate the slope of line tangent to the curve at x = 3 using the values from the table at x - 2 -3.0001 -3.00001 d) Find an equation of line tangent to the given curve at x = 3.

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