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- Question : EX1 - Give R assignment statements that set the variable z to EXERCISES 27 (a). xab (b). (xa)b (c). 3x3 + 2x2 + 6x + 1 (try to minimise the number of operations required) (d). the digit in the second decimal place of x (hint: use floor(x) and/or %%) (e). z + 1
- Question : EX2 - Give R expressions that return the following matrices and vectors (a). (1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1) (b). (1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5) (c). ? ? 0 1 1 1 0 1 1 1 0 ? ? (d). ? ? 0 2 3 0 5 0 7 0 0 ? ?
- Question : EX3 - Suppose vec is a strictly positive vector of length 2. Interpreting vec as the coordinates of a point in R2, use R to express it in polar coordinates. You will need (at least one of) the inverse trigonometric functions: acos(x), asin(x), and atan(x).
- Question : EX4 - Use R to produce a vector containing all integers from 1 to 100 that are not divisible by 2, 3, or 7.
- Question : EX5 - Suppose that queue <- c("Steve", "Russell", "Alison", "Liam") and that queue represents a supermarket queue with Steve ?rst in line. Using R expressions update the supermarket queue as successively: (a). Barry arrives; (b). Steve is served; (c). Pam talks her way to the front with one item; (d). Barry gets impatient and leaves; (e). Alison gets impatient and leaves. For the last case you should not assume that you know where in the queue Alison is standing. Finally, using the function which(x), ?nd the position of Russell in the queue. Note that when assigning a text string to a variable, it needs to be in quotes. We formally introduce text in Section 4.1.
- Question : EX6 - Which of the following assignments will be successful? What will the vectors x, y, and z look like at each stage?
- Question : EX7 - Build a 10

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