Starting with an energy balance on a volume element, obtain the two-dimensional transient explicit finite difference equation for a general interior node in rectangular coordinates for T(x, y, t) for the case of constant thermal conductivity and no heat generation.

Encode the given word using the parity check code.

$$\left(\begin{array}{lll}{0} & {1} & {1}\end{array}\right)$$

Summarize the narrator's description of the Squire. In What ways does the Squire appear to embody the code of chivalry? (See page 100 for a review of chivalry.)

What does the following code display?
numbers = [1, 2, 3, 4, 5, 6, 7]
print numbers [4:6]

Explain what you would need to know to determine the theoretical probability that a five-digit postal ZIP code ends in 1.

What will the following code display?

$$\begin{matrix} \text{letters = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'}\\ \text{print(letters[0:10:3])}\\ \end{matrix}$$

// Warning! This code contains an ERROR!
if(age > 18)
 System.out.println("Person can vote");
else (age < 18)
 System.out.println("Person can't vote");

The binding of an inhibitory neurotransmitter to the postsynaptic receptors results in

a. depolarization of the membrane.

b. generation of an action potential.

c. hyperpolarization of the membrane.

d. increased permeability of the membrane to sodium ions.

e. increased permeability of the membrane to calcium ions.

Encode the message by using a cyclical alphabetic encrypting code that shifts the message the stated number of positions. 6 positions: FLY TONIGHT

Encode the message using a cyclical alphabetic encrypting code that shifts the message the stated number of positions. 11 positions: CANCEL ALL PLANS

What is the output of the following C++ code?

int x = 15;
int y = 3;
if (x + y > 17 || y - x < 20)
{
    y = x - y;
    x = y + x;
    cout << x << " " << y << " " << x + y << " " << y - x << endl;
}
else
{
    x = y - x + y %5;
    cout << x << " " << y << " " << x - y << " " << x + y << endl;
}

In 2007, it was estimated that there were 250 mature right whales in existence. The population of right whales is expected to decline by at least 25 whales each generation. Write an equation that represents the number of right whales that will be in existence in x generations.

Starting with an energy balance on the volume element obtain the steady three-dimensional finite difference equation for a general interior node in rectangular coordinates for T(x.y.z) for the case of constant thermal conductivity and uniform heat generation.

Let $C \subseteq \mathbb{Z}_2^n$ be a linear code. Show that as a group, $C$ is isomorphic with $\mathbb{Z}_2^k$ for some $k$.