MATLAB: AN INTRODUCTION WITH APPLICATIO
MATLAB: AN INTRODUCTION WITH APPLICATIO
6th Edition
ISBN: 9781119626596
Author: GILAT
Publisher: WILEY
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Chapter 11, Problem 1P
To determine

(a)

The interpretation of x and y as symbolic variables and create the two symbolic expressions: S1=x2(4x28x3)+3(8x9) and S2=(2x3)2+4x; the simplest form of S1S2 using symbolic operation.

Expert Solution
Check Mark

Answer to Problem 1P

Solution:

The program is stated as follows.

Explanation of Solution

The given expressions are,

    S1=x2(4x28x3)+3(8x9)

    S2=(2x3)2+4x

Multiply the above expressions.

    S1S2=x2(4x28x3)+3(8x9)[( 2x3)2+4x]=(4x+(2x3)2)(x2(4x2+8x+3)24x+27)

Write the MATLAB code to determine the interpretation of x and y as symbolic variables and create the two symbolic expressions: S1=x2(4x28x3)+3(8x9) and S2=(2x3)2+4x. Determine the simplest form of S1S2 using symbolic operation.

MATLAB Code:

syms x

S1 = x.^2.*(4.*x.^2-8.*x-3)+3.*(8.*x-9)

S2 = (2.*x-3).^2+4.*x

a = simplify(S1.*S2)

Save the MATLAB script with the name, Chapter11_56830_11_1Pa.m in the current folder. Execute the script by typing the script name at the command window to get the code to determine the interpretation of x and y as symbolic variables and create the two symbolic expressions: S1=x2(4x28x3)+3(8x9) and S2=(2x3)2+4x. Determine the simplest form of S1S2 using symbolic operation.

Result:

MATLAB: AN INTRODUCTION WITH APPLICATIO, Chapter 11, Problem 1P , additional homework tip  1

Conclusion:

Therefore, the required program is executed above.

To determine

(b)

The interpretation of x and y as symbolic variables and create the two symbolic expressions: S1=x2(4x28x3)+3(8x9) and S2=(2x3)2+4x; the simplest form of S1S2 using symbolic operation.

Expert Solution
Check Mark

Answer to Problem 1P

Solution:

The program is stated as follows.

Explanation of Solution

The given expressions are,

    S1=x2(4x28x3)+3(8x9)

    S2=(2x3)2+4x

Divide the above expressions.

    S1S2=x2( 4 x 2 8x3)+3( 8x9)[ ( 2x3 ) 2+4x]=x23

Write the MATLAB code to determine the interpretation of x and y as symbolic variables and create the two symbolic expressions: S1=x2(4x28x3)+3(8x9) and S2=(2x3)2+4x. Determine the simplest form of S1S2 using symbolic operation.

MATLAB Code:

syms x

S1 = x.^2.*(4.*x.^2-8.*x-3)+3.*(8.*x-9)

S2 = (2.*x-3).^2+4.*x

b = simplify(S1./S2)

Save the MATLAB script with the name, Chapter11_56830_11_1Pb.m in the current folder. Execute the script by typing the script name at the command window to get the code to determine the interpretation of x and y as symbolic variables and create the two symbolic expressions: S1=x2(4x28x3)+3(8x9) and S2=(2x3)2+4x. Determine the simplest form of S1S2 using symbolic operation.

Result:

MATLAB: AN INTRODUCTION WITH APPLICATIO, Chapter 11, Problem 1P , additional homework tip  2

Conclusion:

Therefore, the required program is executed above.

To determine

(c)

The interpretation of x and y as symbolic variables and create the two symbolic expressions: S1=x2(4x28x3)+3(8x9) and S2=(2x3)2+4x; the simplest form of S1S2 using symbolic operation.

Expert Solution
Check Mark

Answer to Problem 1P

Solution:

The program is stated as follows.

Explanation of Solution

The given expressions are,

    S1=x2(4x28x3)+3(8x9)

    S2=(2x3)2+4x

Subtract the above expressions.

    S1S2=x2(4x28x3)+3(8x9)[( 2x3)2+4x]=4x48x37x2+32x36

Write the MATLAB code to determine the interpretation of x and y as symbolic variables and create the two symbolic expressions: S1=x2(4x28x3)+3(8x9) and S2=(2x3)2+4x. Determine the simplest form of S1S2 using symbolic operation.

MATLAB Code:

syms x

S1 = x.^2.*(4.*x.^2-8.*x-3)+3.*(8.*x-9)

S2 = (2.*x-3).^2+4.*x

b = simplify(S1-S2)

Save the MATLAB script with the name, Chapter11_56830_11_1Pc.m in the current folder. Execute the script by typing the script name at the command window to get the code to determine the interpretation of x and y as symbolic variables and create the two symbolic expressions: S1=x2(4x28x3)+3(8x9) and S2=(2x3)2+4x. Determine the simplest form of S1S2 using symbolic operation.

Result:

MATLAB: AN INTRODUCTION WITH APPLICATIO, Chapter 11, Problem 1P , additional homework tip  3

Conclusion:

Therefore, the required program is executed above.

To determine

(d)

The numerical value of the result from part (c) for x=7 using subs command.

Expert Solution
Check Mark

Answer to Problem 1P

Solution:

The program is stated as follows.

Explanation of Solution

The given expressions are,

Subtract the above expressions.

    S1S2=x2(4x28x3)+3(8x9)[( 2x3)2+4x]=4x48x37x2+32x36

Substitute x=7 in the above equation.

    f(7)=4(7)48(7)37(7)2+32(7)36=6707

Write the MATLAB code to determine the numerical value of the result from part (c) for x=7 using subs command.

MATLAB Code:

syms x

S1 = x.^2.*(4.*x.^2-8.*x-3)+3.*(8.*x-9)

S2 = (2.*x-3).^2+4.*x

c = simplify(S1-S2);

d = subs(c,7)

Save the MATLAB script with the name, Chapter11_56830_11_1Pd.m in the current folder. Execute the script by typing the script name at the command window to get the code to determine the numerical value of the result from part (c) for x=7 using subs command.

Result:

MATLAB: AN INTRODUCTION WITH APPLICATIO, Chapter 11, Problem 1P , additional homework tip  4

Conclusion:

Therefore, the required program is executed above.

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MATLAB: AN INTRODUCTION WITH APPLICATIO

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