Draw the circuit diagram of a half-wave rectifier for producing a nearly steady dc voltage from an ac source. Draw two different full-wave circuits.

Use your book or dictionary to define each term. Then, look through the section to find a sentence with each term and write the sentence. Inbreeding _____.

determine whether each statement is true or false. $3 \in\{1,3,5,7\}$

Consider $f(x)=-2(x-b)^{2}+2$. State the coordinates of the vertex.

The vertices of a figure are given. Rotate the figure as described. Find the coordinates of the image.

$$\begin{array} { l } { J ( - 4,1 ) , K ( - 2,1 ) , L ( - 4 , - 3 ) } \\ { 90 ^ { \circ } \text { clockwise about vertex } L } \end{array}$$

The Pick Three lottery picks one number from each of three containers that each contain the numbers 1 through 9. Find the probability that (a) a 1 is picked from the first container, a 2 from the second, and a 3 from the third. (b) the three numbers add to 5.

Solve the given problems. Where appropriate, set up the required equations.

Solve the following system algebraically: $x^{2}=y+3 ; x y=2$

Evaluate the limit, using L’Hopital’s Rule if necessary.

$$\lim _{x \rightarrow-3^{-}} \frac{\int_{x}^{-3} \sin \theta d \theta}{x+3}$$

Find the sum of the finite geometric series $a+a r+a r^{2}+\cdots+a r^{n-1}$. Write the answer as a quotient of integers. $1-\frac{1}{2}+\frac{1}{4}-\frac{1}{8}+\cdots+\frac{1}{2^{8}}$

Find the derivative of each function , when a, b and n appear, they are constant

$$y=\ln [\sin (2x)]$$

A group of eight business people meets for lunch every Tuesday. Each one puts $1 in the pot, and at the end of lunch, one of their business cards is drawn and that person wins the pot. Find a person’s expected value.

Locate the given numbers in the complex plane. $-4-3 j$

The polar coordinates of a point are given. Find the rectangular coordinates of each point. $\left(-3,-\frac{3 \pi}{4}\right)$

Complete the statement. The gastric mucosa is the mucous membrane lining of the ____________.