Solve the following initial value problems an.d leave the solution in implicit form. Use graphing software to plot the solution.. If the implicit solution. describes more than one function., be sure to indicate which fun.ct ion. corresponds to the solution. of the initial value problem. $y^{\prime}(t)=\frac{2 t^{2}}{y^{2}-1}, y(0)=0$

Accounting has its own vocabulary and basic relationships. Match the accounting terms at the left with the corresponding definition or meaning at the right.

$$\begin{matrix} \text{\_\_\_\_ 1. Debit } & \text{ A. Always an asset }\\ \text{ \_\_\_\_ 2. Expense} & \text{B. Side of an account where increases are recorded}\\ \text{\_\_\_\_ 3. Net income } & \text{C. Record of transactions }\\ \text{\_\_\_\_ 4. Ledger } & \text{D. The cost of operating a business; a decrease in stockholder’s equity}\\ \text{\_\_\_\_ 5. Posting} & \text{E. Grouping of accounts }\\ \text{\_\_\_\_ 6. Normal balance } & \text{F. Copying data from the journal to the ledger }\\ \text{\_\_\_\_ 7. Payable } & \text{G. Revenues – Expenses }\\ \text{ \_\_\_\_ 8. Journal } & \text{H. Always a liability}\\ \text{\_\_\_\_ 9. Receivable } & \text{I. Left side of an account}\\ \text{\_\_\_\_ 10. Owners’ equity } & \text{ J. Assets – Liabilities }\\ \end{matrix}$$

a) Plot the triangle with vertices A(-2, 1), B(2, -1), and C(0, 5). b) Determine the lengths of the sides of the triangle. c) Classify $\triangle \mathrm { ABC }$ Explain your reasoning. d) Find the area of $\triangle A B C$ e) Describe how you could use geometry software to verify your answers to parts b), c), and d).

Sketch and label the figure. Mark the figures. Kite BENF with BE=EN

Determine the number of significant figures in each measurement: 0.035 kg

Round each figure to three significant figures. 0.003210 g

Using the Comparative and Superlative Degrees of Irregular Modifiers. Fill in the blank with the form of the modifier requested in parentheses. One thousand miles is the------I have ever been from home. (far--superlative)

If a country has relatively abundant unskilled labor, with scarce land and capital, it is more likely to have a comparative advantage in which of the following industries? Check all that apply.

d. Financial services.

Use the concept of an interval of time to describe how calculus views a particular instant of time.

Use the Second Fundamental Theorem of Calculus to find F’(x). F(x) = ∫_(-1)^x〖√(t^4+1) ⅆt〗

Most of the following sentences contain an error in usage. If a sentence contains an error, revise the sentence. If a sentence is already correct, write $C$.

EXAMPLE: Where were you at when I called? Where were you when I called?

Being as you have studied programming, could you help us install the new software?

The following situations suggest a strength or a weakness in internal control.

a. Top managers delegate all internal control procedures to the accounting department. b. Accounting department staff (or the bookkeeper) orders merchandise and approves invoices for payment. c. Cash received over the counter is controlled by the sales clerk, who rings up the sale and places the cash in the register. The sales clerk matches the total recorded by the register to each day's cash sales. d. The employee who signs checks need not examine the payment packet because he is confident the amounts are correct.

Requirements

1. Define internal control.
2. The system of internal control must be tested by external auditors. What law or rule requires this testing?
3. Identify each item in the list above as either a strength or a weakness in internal control, and give your reason for each answer.

A(n) __________ transformation produces figures that are similar. (similarity, congruence, or scale factor)

Solve the following initial value problem and leave the solution in implicit form. Use graphing software to plot the solution. If the implicit solution describes more than one curve, be sure to indicate which curve corresponds to the solution of the initial value problem. $y^{\prime}(t)=\frac{t}{y}, y(1)=2$