**Solutions to the Practice Sets**

**Solutions to Practice Set A: Algebra and Arithmetic**

**1.**

**(a)**

**1111 - 345**

**ans =**

**766**

**(b)**

**format long; [exp(14), 382801*pi]**

**ans =**

**1.0e+06 ***

**1.20260428416478 1.20260480938683**

The second number is bigger.

**(c)**

**[2709/1024; 10583/4000; 2024/765]**

**ans =**

**2.64550781250000**

**2.64575000000000**

**2.64575163398693**

**sqrt(7)**

**ans =**

**2.64575131106459**

The third, that is 2024/765, is the best approximation.

**2.**

**(a)**

**cosh(0.1)**

**ans =**

**1.00500416805580**

**(b)**

**log(2)**

**ans =**

**0.69314718055995**

**(c)**

**atan(1/2)**

**ans =**

**0.46364760900081**

**format short**

**3.**

**[x, y, z] = solve(‘3*x + 4*y + 5*z = 2’, ...**

**‘2*x - 3*y + 7*z = -1’, ‘x - 6*y + z = 3’, ...**

**‘x’, ‘y’, ‘z’)**

**x =**

**241/92**

**y =**

**-21/92**

**z =**

**-91/92**

Now we’ll check the ...

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