Underline the correct pronoun. Identify the case by writing nom. (nominative) or obj. (objective) in the blank. Some sentences have more than one pronoun to identify./ _____These algebra problems confuse Rashonda as much as (I, me)

Following is the list of letter grades for students in an algebra class:

$$\begin{array}{ccc} \hline A & B & F & A &C & C & A & B & D\\ F & D & A & A & B & C & F & B & D\\ C & A & A & A & F & B & C & A & C\\ \hline \end{array}$$

Construct a frequency bar graph for these data.

Following is the list of letter grades for students in an algebra class:

$$\begin{array}{ccc} \hline A & B & F & A &C & C & A & B & D\\ F & D & A & A & B & C & F & B & D\\ C & A & A & A & F & B & C & A & C\\ \hline \end{array}$$

Construct a relative frequency distribution for these data.

Extend the class linkedListType by adding the following operations:

1. Find and delete the node with the smallest info in the list. (Delete only the first occurrence and traverse the list only once.)

2. Find and delete all occurrences of a given info from the list. (Traverse the list only once.)

Add these as abstract functions in the class linkedListType and provide the definitions of these functions in the class unorderedLinkedList. Also, write a program to test these functions.

Use a computer algebra system to determine the antiderivative that passes through the given point. Use the system to graph the resulting antiderivative. $\int \frac{x(2 x-9)}{x^{3}-6 x^{2}+12 x-8} d x \ (3, 2)$

U.S. airlines average about 1.6 fatalities per month. ( Statistical Abstract of the United States: 2010 ). Assume that the probability distribution for x , the number of fatalities per month, can be approximated by a Poisson probability distribution. a. What is the probability that no fatalities will occur during any given month? b. What is the probability that one fatality will occur during any given month? c. Find E(x) and the standard deviation of x .

In Exercise 3e, you graphed an inequality involving lines with the following equations.

$$2x+3y=12$$

$$2x+y=8$$

Use algebra to find the intersection of the two lines. Then check your result by testing the values of $x$ and $y$ in each equation.

In given problem, find the indicated limit or state that it does not exist. In many cases, you will want to do some algebra before trying to evaluate the limit.

$$\lim _{x \rightarrow 2} \frac{x^2-4}{x^2+4}$$

Slope Fields Use a computer algebra system to graph the slope field for the differential equation and graph the solution satisfying the specified initial condition.

$$\frac{dy}{dx}=\frac{2y}{\sqrt{16-x^2}},\ y(0)=2$$

Use a computer algebra system to find the derivative of the function. Then use the utility to graph the function and its derivative on the same set of coordinate axes. Describe the behavior of the function that corresponds to any zeros of the graph of the derivative. g(x) = √x-1 + √x+1

Use a computer algebra system to evaluate the following integral. Find both an exact result and an approximate result for each definite integral. Assume a is a positive real number. $\int_{0}^{\pi / 2} \cos ^{6} x d x$

Use a graphing calculator, if possible, or a computer algebra system such as Mathematica to first define the following functions and then simplify the expression $\frac{f(x+h)-f(x)}{h}$. See the Technology Note after the said example for guidance.

$$f(x)=\dfrac{1}{x-1}$$

Use a computer algebra system to graph f and to find f$^{\prime}$ and f$^{\prime \prime}$. Use graphs of these derivatives to estimate the intervals of increase and decrease, extreme values, intervals of concavity, and inflection points of f.

$$f(x)=x-\tan ^{-1}\left(x^{2}\right)$$

Write a double integral that represents the surface area of $z=f(x, y)$ over the region $R$. Use a computer algebra system to evaluate the double integral.

$f(x, y)=4-x^2-y^2$ $R=\{(x, y): 0 \leq x \leq 1,0 \leq y \leq 1\}$