Question 2 in MATLAB language. please post so that i can copy paste/ Urgent. Thank you

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(x) 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, Aa (b) For what value of a is the area under the curve exactly 5? 2. (4 points) Consider the function f(x) , wher e a is a positive real constant (a) Find the volume of the solid formed when the region bounded by f, a, and the z-axis is rotated about the y-axis. (b) Find the volume of the solid formed when the region bounded by f, = a, and the x-axis is rotated about the r-axis. (c) For what value of a are these two volumes equal? 3. (3 points) (a) Find the partial fraction decomposition of the function f(x) - (-5)2(z2+3)(r4 5) 2 2x+ a (b) Find the partial fraction decomposition of the function g(z) )' where " is a positive real constant (c) For what value of a, does g(x) dr 1? 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(x) 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, Aa (b) For what value of a is the area under the curve exactly 5? 2. (4 points) Consider the function f(x) , wher e a is a positive real constant (a) Find the volume of the solid formed when the region bounded by f, a, and the z-axis is rotated about the y-axis. (b) Find the volume of the solid formed when the region bounded by f, = a, and the x-axis is rotated about the r-axis. (c) For what value of a are these two volumes equal? 3. (3 points) (a) Find the partial fraction decomposition of the function f(x) - (-5)2(z2+3)(r4 5) 2 2x+ a (b) Find the partial fraction decomposition of the function g(z) )' where " is a positive real constant (c) For what value of a, does g(x) dr 1