Find the Laplace transform of the function.

$$\beta(t)= \begin{cases}0, & 0 \leq t<2 \pi . \\ 3 \sin 3 t, & t \geq 2 \pi\end{cases}$$

Draw the figure and its reflection in the y-axis. Identify the coordinates of the image.

$$Q ( - 4,2 ) , R ( - 2,4 ) , S ( - 1,1 )$$

Comparez-vous aux personnes suivantes. rousp$\'e$teur, votre voisin

Write a program that inputs a five-digit integer, separates the integer into its digits and prints them separated by three spaces each. [Hint: Use the integer division and modulus operators.] For example, if the user types in 42339, the program should print:

4     2     3     3     9

Find if $A$ is diagonalizable and, if it is, give a diagonal matrix similar to $A$ as well as a matrix $P$ so that $P^{-1} A P$ is this diagonal matrix.

$$\left[\begin{array}{rrr}1 & 1 & 0 \\ 0 & 1 & -1 \\ 0 & 0 & 2\end{array}\right]$$

Solve the system of linear equations. Check your solution.

$$\begin{array}{l} x+2 y=-5 \\ x-2 y=-5 \end{array}$$

State the slope and the y-intercept of the graph of each equation. $y=\frac{1}{3} x$

Is the guideline for writing instructions apply to all instructions (print and online)? Is it apply only to online instructions?

e. Provide a tree or map of your site and topics.

Determine the eigenvalues and bases for the eigenspaces of the matrices.

$$\left[\begin{array}{rrr}5 & 6 & 2 \\ 0 & -1 & -8 \\ 1 & 0 & -2\end{array}\right]$$

Refer to the Practice Set data provided in Chapters 2 and 3 for Crystal Clear Cleaning. Requirements

1. Prepare an accounting worksheet. (optional)
2. Prepare an income statement, statement of retained earnings, and classified balance sheet using the report format. Assume the Notes Payable is long-term.
3. Prepare closing entries for the month, and post to the accounts.
4. Prepare a post-closing trial balance.

Identify the point (a, f(a)) at which the function has a tangent line with zero slope.

What is the simplest form of

$$\left( 2 x ^ { 3 } \right) ^ { 4 } ?$$

$$a. \ 8x^7 \\ b. \ 8x^{12} \\ c. \ 16x^7 \\ d. \ 16x^{12}$$

Sketch the curve represented by the parametric equations, and write the corresponding rectangular equation by eliminating the parameter.

$$x=2 t^2, y=t^3+1$$

One bag of popcorn holds

$$1 \frac { 5 } { 8 } \mathrm { oz }$$

Another holds

$$1 \frac { 3 } { 4 } \text { oz }$$

How much popcorn can the two bags hold in all?