Pls provide solutions

For the following exercises, given the function Y = f (x), a. find the slope of the secant line for each point O(x.J (x)) with value given in the table. b. Use the answers from a. to estimate the value of the slope of the tangent line at P. c. Use the answer from b. to find the equation of the tangent line to f at point P. 31. [TI f ( x) = x +3x+4, P(1,8) (Round to . decimal places.) Slope mpQ X Slope mpp 1.1 (1) 0.9 (vii) 1.01 (ii) 0.99 (vili) 1.001 ifi) 0.999 (ix) 1.0001 (iv) 1 0.9999 (x ) 1.00001 (v) 0.99999 (xi) 1.000001 (Vi) 0.999999 (xii) [T] For the following position functions =S(?), an object is moving along a straight line, where t is in seconds and S is in meters. Find a. the simplified expression for the average velocity from? = 2 tot = 2+h; b. the average velocity between -2 and =2 +h. where (1) h=0.1, (ii) h=0.01, (iii) h =0.001, and (iv) h =0.0001; and c. use the answer from a. to estimate the instantaneous velocity at z = 2 second. 36. s (1) =12 - 21