Write a program that reads in two floating-point numbers and tests whether they are the same up to two decimal places. Here are two sample runs. Enter a floating-point number: 2.0 Enter a floating-point number: 1.99998 They are the same up to two decimal places. Enter a floating-point number: 2.0 Enter a floating-point number: 1.98999 They are different.

Generalize methods mazeTraversal and mazeGenerator of earlier exercises to process mazes of any width and height.

What happens if an exception does not have a matching except clause?

Given the matrices $A$ and $\mathbf{B},$ find the product $\mathbf{A B}$. Also, find the product $\mathbf{B} \mathbf{A}$ in each case in which it is defined.

$$\mathbf{A}=\left( \begin{array}{rr}{5} & {-2} \\ {4} & {3}\end{array}\right), \quad \mathbf{B}=\left( \begin{array}{rr}{-1} & {8} \\ {2} & {-5}\end{array}\right)$$

Use the Distributive Property to multiply. Explain why

$$5 x + 15 = 5 ( x + 3 )$$

What is the implication of the terms "summer soldier" and "sunshine patriot" from the first paragraph?

Given the matrices $A$ and $\mathbf{B},$ find the product $\mathbf{A B}$. Also, find the product $\mathbf{B} \mathbf{A}$ in each case in which it is defined.

$$\mathbf{A}=\left( \begin{array}{rr}{3} & {2} \\ {-1} & {4} \\ {5} & {-2}\end{array}\right), \quad \mathbf{B}=\left( \begin{array}{rrr}{3} & {0} & {2} \\ {-1} & {2} & {-3}\end{array}\right)$$

Replace each $\circ$ with <, >, or = to make a true statement. $27,000 \circ 2.76 \times 10^{3}$

Write a recursive program to generate random sentences from a given BNF grammar. A BNF grammar is a recursively defined file that defines rules for creating sentences from tokens of text. Rules can be recursively self-similar. The following grammar can generate sentences such as “Fred honored the green wonderful child”:

<s>::=<np> <vp>
<np>::=<dp> <adjp> <n>|<pn>
<dp>::=the|a
<adjp>::=<adj>|<adj> <adjp>
<adj>::=big|fat|green|wonderful|faulty|subliminal|pretent
ious
<n>::=dog|cat|man|university|father|mother|child|televisi
on
<pn>::=John|Jane|Sally|Spot|Fred|Elmo
<vp>::=<tv> <np>|<iv>
<tv>::=hit|honored|kissed|helped
<iv>::=died|collapsed|laughed|wept

Establish the commutative, distributive, and associative properties of the convolution integral.(a)f∗g=g∗f(b)f∗(g1+g2)=f∗g1+f∗g2(c)f∗(g∗h)=(f∗g)∗h

Write a program that constructs a rectangle with area 42 and a rectangle with perimeter 42 . Print the widths and heights of both rectangles.

Write a class Polynomial that stores a polynomial such as

$$p(x)=5 x^{10}+9 x^7-x-10$$

as a linked list of terms. A term contains the coefficient and the power of $x$. For example, you would store $p(x)$ as

$$(5,10),(9,7),(-1,1),(-10,0)$$

Supply methods to add, multiply, and print polynomials. Supply a constructor that makes a polynomial from a single term. For example, the polynomial p can be constructed as

Polynomial p = new Polynomial(new Term(-10, 0));
p.add(new Polynomial(new Term(-1, 1)));
p.add(new Polynomial(new Term(9, 7)));
p.add(new Polynomial(new Term(5, 10)));

Then compute $p(x) \times p(x)$

Polynomial q = p.multiply(p);
q.print();

Here are some possible descriptions of a line. Descriptions of a Line

For each equation below, list all of the properties that describe the graph of that equation.

a. $y=x$

b. $y=2 x+1$

c. $y=-5$

d. $y=4-3 x$

e. $y=-3-x$

How does Clifton describe Miss Rosie in lines 9-10? (b)What does this description imply about Miss Rosie?