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

Describe an O(n)-time algorithm that, given a set S of n distinct numbers and a positive integer k ≤ n, determines the k numbers in S that are closest to the median of S.

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

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

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

(a)Why does the speaker compare dreams to pocket handkerchiefs? (b)Do you think this is an effective comparison? Why or why not?

Find 3u - 2v.

u = (-1, 2, 1), v = (0, 1, 1)

Solve the initial-value problem

$$y''+5y'+4y=16x+20e^x,y(0)=0,y'(0)=3$$

Use the Distributive Property to multiply. Explain why

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

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.

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

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.

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

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. $y=-3-x$

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();