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solve all the questions using MATLAB 2x+y3z=114x2y+3z=82x+2yz=6 b. Consider the following function: f(x)=x2ex5x3 Uso MATL.AB in order to determine the following fint derivative of f(x).

solve all the questions using MATLAB
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2x+y3z=114x2y+3z=82x+2yz=6 b. Consider the following function: f(x)=x2ex5x3 Uso MATL.AB in order to determine the following fint derivative of f(x). - sccond decivative of f(x) evaluated at x=1 - integral of f(x) with respect to x, for x=0 to x=4. c. Consider the following function f(x) in the nange [0,10] f(x)=5+x5x2+ax3 Use MATLAB in order to obtain plots of the function f(x) for the following values of parameter ' a ' on a single graphi a=1,0 and 1. Problem 2: Laplace and Solving ODEs a. Consider the following function F(s), which is the Laplace Transform of function f(t) : F(s)=(s+2)(s+4)(s+6)28(s+1)(s+3) Use MATLAB in order to determine the following: Partial Fraction Expansion of F(s). the function f(t), i.e, the analytical expression for f(t) : b. Use MATLAB in order to obtain the solution y(x) of the following second-order ordinary differential equation: y(x)+8y(x)+2y(x)=cos(x)y(0)=0,y(0)=1 Also, plot the solution y(x) in the range [0,10]

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