Chapter 1, Problem 1P

To determine

(a)

To solve:

The equation ${\left(5-\frac{19}{7}+{2.5}^3\right)}^2$.

Answer to Problem 1P

Solution:

The value of equation ${\left(5-\frac{19}{7}+{2.5}^3\right)}^2$ is $320.7937$.

Explanation of Solution

Solve the given equation.

$\begin{array}{l}\Rightarrow {\left(5-\frac{19}{7}+{2.5}^3\right)}^2\\ \Rightarrow {\left(5-2.7143+15.625\right)}^2\\ \Rightarrow 320.7937\end{array}$

Write the MATLAB script that calculates the equation ${\left(5-\frac{19}{7}+{2.5}^3\right)}^2$.

MATLAB Code:

(5-(19/7)+(2.5^3))^2

% Calculate the value of the equation

Save the MATLAB script with name, chapter1_56830_1_Pa.m in the current folder. Execute the script by typing the script name at the command window to get the answer for ${\left(5-\frac{19}{7}+{2.5}^3\right)}^2$.

Result:

Conclusion:

Therefore, the value of equation ${\left(5-\frac{19}{7}+{2.5}^3\right)}^2$ is $320.7937$.

To determine

(b)

To solve:

The equation $7\times 3.1+\frac{\sqrt{120}}{5}-{15}^{5/3}$.

Answer to Problem 1P

Solution:

The value of equation $7\times 3.1+\frac{\sqrt{120}}{5}-{15}^{5/3}$ is $-67.3421$.

Explanation of Solution

Solve the given equation.

$\begin{array}{l}\Rightarrow 7\times 3.1+\frac{\sqrt{120}}{5}-{15}^{5/3}\\ \Rightarrow 21.7+2.191-91.233\\ \Rightarrow -67.3421\end{array}$

Write the MATLAB script that calculates the equation $7\times 3.1+\frac{\sqrt{120}}{5}-{15}^{5/3}$.

MATLAB Code:

7*3.1+((120^(1/2))/5)-(15^(5/3))

% Calculate the value of the equation

Save the MATLAB script with name, chapter1_56830_1_Pb.m in the current folder. Execute the script by typing the script name at the command window to get the answer for $7\times 3.1+\frac{\sqrt{120}}{5}-{15}^{5/3}$.

Result:

Conclusion:

Therefore, the value of equation $7\times 3.1+\frac{\sqrt{120}}{5}-{15}^{5/3}$ is $-67.3421$.