Please provide justification for each step:

Also, I am hiring a person who can work together for this semester for Calc 2.

7. Consider the force (in N) given by the piecewise linear function F(x), whose graph is shown below. Determine the work done by F as the the particle moves from = = a to r = b. (2. 3) (4.3) 1 = FO TO, 1 12 8. The density of a wire that extends from r = 0 to r = 3 is given by p(x) = (5 + 3x)?' A. Without performing any calculations, does the left half or the right half of the wire have more mass? B. Find the mass of the wire. C. Find a value of a so that the mass of the portion of the rod from = = 0 to r = a is half of the total mass of the wire. 9. The region R bounded by = = y' and y = 2x is shown below. (1, 2 ) 1 = 2x2 (0, 0) Set up, but do not evaluate, an integral or sum of integrals that give the quantities requested below. A. The volume of the region when R is revolved about the line r = 4. B. The volume of the solid whose base is R and whose cross-sections taken perpendicular to the y-axis are squares. C. The perimeter of R. 10. A spherical tank of radius 4 m is filled to a height of 3 m of Liquid X (p = 10kg/m ). Set up, but do not evaluate, an integral that gives the work required to pump all of the liquid up to the top of the tank