Help with parts A through F. (twice-differentiable function) 0 given below.p( x) =Vf ( 2x+ 1) + 5xw(x)(3,5)x f(x) f(x)(0, 5)0 43 87 2-6(3, 2)1.418y =239 -1101012a) Find the slope of...

Help with parts A through F. (twice-differentiable function)

Extracted text: Consider the twice-differentiable function f(x) with selected values in the table, the composite function p(x), and the piecewise-defined function w(x) for x > 0 given below. p( x) =Vf ( 2x+ 1) + 5x w(x) (3,5) x f(x) f(x) (0, 5) 0 4 3 8 7 2 -6 (3, 2) 1.4 18 y = 23 9 -1 10 10 12 a) Find the slope of the line tangent to p(x) at x = 3. Show your process. 3 b) Evaluate ! (xf (x) + 6) dx Show the work that leads to your answer. c) Fir I the area between w(x) and the x-axis 2 0. Show the work that leads to your answer. d) Consider the series below related to w(x) above and determine if it converges or diverges. Justify. w(n) e) Setup an expression that would find the volume of the solid if the region bounded by w(x) for 4 sxs 10 and the x-axis were revolved around the line y = -2. Do not solve. f) Give the second degree Taylor Polynomial centered at t = 6 for R(t) shown below.