Find the complement of the following set.

The set {x|x is an integer strictly between 0 and 8} if U is the set of all integers.

Use a rotation matrix to rotate the vector

$$\left[\begin{array}{l} -2 \\ -3 \end{array}\right]$$

counterclockwise by the angle $\pi / 9.$

Find the distance between the points.

$$(6.2,5.4),(-3.7,1.8)$$

Determine whether the statement is true or false. Use the following sets of numbers.

$N=$ set of natural numbers.

$Z=$ set of integers

$I=$ set of irrational numbers

$Q=$ set of rational numbers

$\mathbb{R}=$ set of real number

$$-1 \in Z$$

Find the time requested, to the nearest 0.1 year. The time it would take $6,000 to grow to$10,000 at 4.75% interest compounded monthly

The numbers in Set N are multiples of 5.

The numbers in Set P are multiples of 9.

Which number of the three possibilities could be a number of both Set N and Set P ?

A. 27

B. 25

C. 90

Find the distance between $(-3,-2)$ and $(4,5)$.

Write a program that prompts the user to enter the center of a rectangle, width, and height, and displays the rectangle.

(Printing a String) Write a program that defines and uses macro PRINT to print a string value.

Phoenix Industries has pulled off a miraculous recovery. Four years ago it was near bankruptcy. Today, it announced a $1 per share dividend to be paid a year from now, the first dividend since the crisis. Analysts expect dividends to increase by$1 a year for another 2 years. After the third year (in which dividends to increase by $1 a year for another 2 years. After the third year (in which dividends are$3 per share) dividend growth is expected to settle down to a more moderate long-term growth rate of 6%. If the firm's investors expect to earn a return of 14% on this stock, what must be its price?

Find the distance between the points.

$$(1,12),(6,0)$$

Find the distance between the points.

$$(-4.2,3.1),(-12.5,4.8)$$

Refer to the table. Which lap has the slowest time?

In a pulse power circuit, the voltage of a 10$\mu$F capacitor is zero for t<0 and $v=5(1-e^{-4000t})$ V for t>0. Determine the capacitor current and the energy stored in the capacitor at t=0ms and t=10ms.