Use the MATLAB Sy Math Toolbox functions to complete the following math problems

Question

Use the MATLAB Sy Math Toolbox functions to complete the following math problems. Copy and paste your session from the command window into a text file to be submitted on canvas. 1. Use the expand function to express this product of polynomials as a single polynomial: ( +5x+6 T+9). 2. Factor the following polynomial to find its roots: 23-3r2-13r +15 3. Simplify the following equation: (cos(x) +sin(x)(cos(x) +sin() 4. Find the values of x that satisfy 3r2-82 + 5 0 . Find the derivative with respect to z of f(x)-+ 7x + 1 6. Find the derivative with respect to z of f(x) = x2 cos(r) 7. Calculate the definite integral 8. 1 + cos(r) 9. 22-4 lim

Explanation / Answer

The session has been copy-pasted as asked in the question.
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-----Session Output-----

>> % Question 1
>> syms x
>> expand((x^2 + 5*x + 6)*(x - 4)*(4*x + 9))

ans =

4*x^4 + 13*x^3 - 47*x^2 - 222*x - 216

>> % Question 2
>> factor(x^3 - 3*x^2 - 13*x + 15)

ans =

(x + 3)*(x - 1)*(x - 5)

>> % Question 3
>> simplify((cos(x)+sin(x))*(cos(x)+sin(x)))

ans =

(cos(x) + sin(x))^2

>> % Question 4
>> solve(3*x^2 - 8*x + 5 == 0, x)

ans =

1
5/3

>> % Question 5
>> diff((x^3 + 7*x + 1)/(x^3 - x))

ans =

- (3*x^2 + 7)/(- x^3 + x) - ((3*x^2 - 1)*(x^3 + 7*x + 1))/(x - x^3)^2

>> % Question 6
>> diff(x^2*cos(x))

ans =

2*x*cos(x) - x^2*sin(x)

>> % Question 7
>> int(2*pi*x*(2-sqrt(x)),0,4)

ans =

(32*pi)/5

>> % Question 8
>> int((1+cos(x))/sin(x)^2)

ans =

-cot(x/2)

>> % Question 9
>> limit((x^2 - 4)/(x - 2),2)

ans =

4

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