Question: answer in matlab thank you Use MATLAB to solve each problem. Some of the commands you may need on this assignment are: syms, int, solve,

 answer in matlab thank you Use MATLAB to solve each problem.

answer in matlab 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

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