How to solve question c?

1) Consider two points P at x = -3 and Q at x = a on the curve f (x) = 3(x + 2)2. Answer the following: [2 + 3+1 + 2 = 8 Points] a) Find a formula to calculate the slope of secant line PQ. my z - y, X1 3 71 = 3 ( - 3 + 2) 2= 3 X 2 - X1 X2 = a 12 = 302+129 + 12 m = 39-+ 120 + 9 a+ 3 b) Using a formula from (a), find the slope of secant lime PQ (mpQ) for various values of Give all values to 5 decimal places. a - 3.5 -3.1 -3.01 -3.001 -3.0001 -3.000 mpQ - 7.50000 - 6:30000 -403000 -6100300 -60. 00030 - 610000 c) Estimate the slope of line tangent to the curve at x = 3 using the values from the table above. d) Find an equation of line tangent to the given curve at x = 3. f' ( x ) = 6 * + 12 (3) = 6(3) +12 = 30 f (3 ) = 3(3) + 12(3)+ 12=75 (y - 75) = 30 (x - 3)-2 4 = 30X - 15