Estimate the fundamental frequency of vibration of a telephone line between adjacent poles near where you live.Explain how you arrived at your answer.

Decide whether each relation defines y as a function of x. (Solve for y first if necessary.) Give the domain. xy=-3

Show that each function y=f(x) is a solution of the differential equation $2 y^{\prime}+3 y=e^{-x}$

a.$y=e^{-x}$ b.$y=e^{-x}+e^{-(3 / 2) x}$ c.$y=e^{-x}+C e^{-(3 / 2) x}$

A bag contains 8 blue coins and 6 red coins. A coin is removed at random and replaced by three of the other color. a. What is the probability that the removed coin is blue? b. If the coin removed is blue, what is the probability of drawing a red coin after three red coins are put in the bag to replace the blue one? c. If the coin removed is red, what is the probability of drawing a red coin after three blue coins are put in the bag to replace the red one?

Evaluate the determinant.

$$\left| \begin{array} { l l } { \frac { 1 } { 2 } } & { - \frac { 1 } { 4 } } \\ { \frac { 1 } { 2 } } & { \frac { 3 } { 4 } } \end{array} \right|$$

How do the cells in your body get energy?

How did Gorbachev's reforms lead to the breakup of the Soviet empire?

Why might you need to change the inequality sign when you solve an inequality using algebra tiles?

Find boundary points for each of the following inequalities. Draw the boundaries on a number line and shade the solution regions. a. $3 x+2 \geq x-6$, b. $2 x^{2}-5 x<12$.

What economic activities are important in the Atlantic Provinces?

Name six types of cardiovascular disease.

Mrs. Chen, a new mother, brings her infant to the clinic because he has suffered repeated seizures. When questioned, she states that her labor was unusually long and difficult. What condition do you suspect? Will the infant’s condition worsen?

Evaluate the expression without using a calculator. $\log _{2} 128$

Write the given argument in words and determine whether each argument is valid. Let p: 4 gigabytes is better than no memory at all, q: We will buy more memory, r: We will buy a new computer.

$$\begin{array}{l} p\rightarrow (r\vee q) \\ r\rightarrow \neg q \\ \hline \therefore p\rightarrow r \end{array}$$