Rewrite the following sentence to correct indefinite, general, and ambiguous pronoun references. (There may be more than one way to rewrite a sentence.)

After surviving it, Hercules helped her start becoming a heroine.

A Hill 2-cipher is intercepted that starts with the pairs SL HK Find the deciphering and enciphering matrices, given that the plaintext is known to start with the word ARMY.

Write a parametrization for the curves in the xy-plane. An ellipse centered at the origin, crossing the x-axis at $\pm 3$ and the y-axis at $\pm 7.$ Start at the point (-3, 0) and trace out the ellipse counterclockwise.

Complete the sentence by inferring information about the italicized word from its context.

When Monica is in a hurry, she doesn't start conversations with her garrulous neighbor because ..

Create your own "Guess My Number" game like the ones you worked with in class today. Start it with, "I'm thinking of a number that..." Make sure it is a game you know the answer to! Write the equation and solve it.

¿Cómo se traduciría el siguiente diálogo al español?
A - When did you guys start the visit? B - It was 11:30 when we started the visit.

Assume that you start with a golden rectangle and cut the largest possible square from one end of the rectangle. The remaining piece of the golden rectangle will be a. another golden rectangle. b. another square. c. a logarithmic spiral.

Suppose that every day you save twice as many pennies as you saved the day before. You start by saving one penny on January 1. How much money will you have in all on January 10?

In Exercise given below, find the minimum distance from the curve or surface to the given point. (Hint: Start by minimizing the square of the distance.)

Plane: $x+y+z=1,(2,1,1)$ Minimize $d^2=(x-2)^2+(y-1)^2+(z-1)^2$

You are standing directly between two loudspeakers playing identical $350 \mathrm{~Hz}$ tones. Describe what you will hear if you start walking along a line perpendicular to the line between the speakers.

Suppose you start at the point (0, 0, 3) and move 5 units along the curve $x = 3\sin t, y = 4t, z = 3\cos t$ in the positive direction. Where are you now?

The water depth in a lake has been declining. The rate at which the water level changed t weeks after the start of last year was given by

$$r_2(t)=-0.14 t-3.2 \text { inches per week }$$

The previous year the level changed at a rate of $r_1(t)=0.005 t^2-0.3 t-1.5$ inches per week where $t$ is the number of weeks after the start of that year. Compute the area between the graphs of these functions for $0 \leqslant t \leqslant 52$. What does your answer represent?

Use Newton’s method to estimate the one real solution of $x^{3}+3 x+1=0.$ Start with $x_{0}=0$ and then find $x_{2}.$

Harriet gave Wilbur a 50-yard head start. How long did it take her to catch Wilbur if her speed was 8 yards per second and his was only 6 yards per second?