Read Chapter 2 of R for Data Science (2e).

Carry out the R variables activities and exercises.

For more details read the help pages for arithmetic operators
(`?Arithmetic`

).

Refer to the R variables section and perform the following tasks.

Arithmetic operators and operator precedence. Compute

`1 + 3 - 5 * 8 / 2 ^ 2`

and`1 + (3 - 5) * 8 / 2 ^ 2`

.Mathematical functions. Compute \((1.13+0.334)\times\exp(0.9)\)

Built-in constants. Compute \(\sin(\frac{23}{2}*\pi)\).

Scientific notation. Compute the number of hydrogen atoms in 1pg of hydrogen gas.

`<-`

Compute and store the number of hydrogen atoms in a variable

`x`

.*Good programming practice.*Using descriptive variable names. Compute and store the number of hydrogen atoms in a variable with a descriptive name.Benefits of variables. Store the mass of hydrogen atoms in a variable

`mass`

and Avogadro’s constant in`avo`

. Compute the number of hydrogen atoms. Then, in a separate code chunk, change the mass and recompute.

Watch the basics of computer architecture video and answer the following questions.

- Fill in the following table.

Component | Function |
---|---|

Random access memory | |

Execute instructions to compute output from input data | |

Input devices | |

Convey the results/output of computation | |

Secondary storage |

What are the tradeoffs between RAM and secondary storage?

How many integers can a memory location with 6 bits hold?

A character is 1 byte long. How many characters can be represented?

Insert a code chunk to compute \(2^{3 \times 2 - 6/3}\).

Insert a code chunk to compute \(5.134 \times 10^{-3} + 1.087 \times 10^{-2}\). Use scientific notation.

Compute \(2^{\sin(\frac{3\pi}{2})}\).

Insert a code chunk and do the following. Assign the value

`0.3998`

to a variable`radius`

. Compute the circumference using the`radius`

variable and assign the value to a new variable,`circumference`

. Print out the value of`circumference`

.Compute the area of the circle using the

`radius`

variable and assign to a third variable`area`

. Print out the area.Change the radius to \(3.1122 \times 10^4\) and recompute the circumference and area and print their values out.