Please use Matlab to solve these problems. Need help ASAP and thank you so much for your time !

Use MATLAB to solve each problem. Some of the commands you may need on this assignment are: syms, int, solve, partfrac, and double 1. (3 points) Consider the function f()- where a is a positive real constant. (a) Find the area bounded between the curve and the r-axis for any value of a on the interval 2a, 4a] (b) For what value of a is the area under the curve exactly 5? 2. (4 points) Consider the function f(r)- where a is a positive real constant (a) Find the volurne of the solid formed when the region bounded by f, x = a, and the r-axis is rotated about the y-axis. (b) Find the volume of the solid formed when the region bounded by f, x = a, and the x-axis is rotated about the z-axis. (c) For what value of a are these two volumes equal? 3. (3 points) r3-43 (x - 5)2(r2 +3) (r2 + 5) (a) Find the partial fraction decomposition of the function f(x) = 1+2+ (b) Find the partial fraction decomposition of the function g(z) = (11j where a is a positive real constant (c) For what value of a, does g(z) dz = 1