$2\mathrm{.}2$ Identify which name in each of the following pairs is a legitimate MATLAB$$

variable name:

fred fred!

book$\_1$ book$-1$

$2$ndplace Second$\_$Place

#$1$ No$\_1$

vel$\_5$ vel$\mathrm{.}5$

tan while

Test your answers by using isvarname$$for example,

isvarname fred

Remember, isvarname returns a $1$ if the name is valid and a $0$ if it is not.

Although it is possible to reassign a function name as a variable name, doing

so is not a good idea. Use which to check whether the preceding names are

function names$$for example,

which sin

In what case would MATLAB $$ tell you that sin is a variable name, not a

function name?

Scalar Operations and Order of Operations

$2\mathrm{.}3$ Create MATLAB$$ code to perform the following calculations:

$52$

$53$

$5$ # $6$

$2463($Hint: A square root is the same thing as a $1/2$ power.$)$

$96$

$127$ # $532$

$15$ # $3>62224$ # $1>5\mathrm{.}5$

Check your code by entering it into MATLAB $$ and performing the

calculations on your scientific calculator.

$2\mathrm{.}4$ As you answer the following questions, consider the shapes shown in

Figure P$2\mathrm{.}4.$

$($a$)$ The area of a circle is pr$2.$ Defi ne r as $5,$ then find the area of a circle,

using MATLAB$.$

$($b$)$ The surface area of a sphere is $4$pr$2.$ Find the surface area of a sphere

with a radius of $10$ ft$.$

$($c$)$ The volume of a sphere is $4/3$pr$3.$ Find the volume of a sphere with a

radius of $2$ ft$.$

$2\mathrm{.}5$ As you answer the following questions, consider the shape shown in

Figure P$2\mathrm{.}5.$

$($a$)$ The area of a square is the edge length squared $1$A edge$22.$ Defi ne

the edge length as $5,$ then find the area of a square, using MATLAB$$

$.$

$($b$)$ The surface area of a cube is $6$ times the edge length squared

$1$SA $6$ edge$22.$ Find the surface area of a cube with edge length $10.$

$($c$)$ The volume of a cube is the edge length cubed $1$V edge$32.$ Find the

volume of a cube with edge length $12.$

$2\mathrm{.}6$ Consider the barbell shown in Figure P$2\mathrm{.}6.$

r

Figure P$2\mathrm{.}4($a$)$

e

e

Figure P$2\mathrm{.}5($a$$c$)$

Figure P$2\mathrm{.}6$

The geometry of a barbell can

be modeled as two spheres

and a cylindrical rod.