Questions from General Calculus

Q: In this project we give a unified treatment of all three types

In this project we give a unified treatment of all three types of conic sections in terms of a focus and directrix. We will see that if we place the focus at the origin, then a conic section has a sim...

Q: A crystal growth furnace is used in research to determine how best

A crystal growth furnace is used in research to determine how best to manufacture crystals used in electronic components for the space shuttle. For proper growth of the crystal, the temperature must b...

Q: Show that the polar equation r = a sin θ + b

Show that the polar equation r = a sin θ + b cos θ, where ab ≠ 0, represents a circle, and find its center and radius.

Q: Solve the inequality in terms of intervals and illustrate the solution set

Solve the inequality in terms of intervals and illustrate the solution set on the real number line.

Q: Solve the inequality in terms of intervals and illustrate the solution set

Solve the inequality in terms of intervals and illustrate the solution set on the real number line.

Q: Solve the inequality in terms of intervals and illustrate the solution set

Solve the inequality in terms of intervals and illustrate the solution set on the real number line.

Q: Solve the inequality in terms of intervals and illustrate the solution set

Solve the inequality in terms of intervals and illustrate the solution set on the real number line.

Q: Solve the inequality in terms of intervals and illustrate the solution set

Solve the inequality in terms of intervals and illustrate the solution set on the real number line.

Q: Solve the inequality in terms of intervals and illustrate the solution set

Solve the inequality in terms of intervals and illustrate the solution set on the real number line.

Q: Use a graph to estimate the -coordinate of the highest points

Use a graph to estimate the -coordinate of the highest points on the curve r = sin 2θ. Then use calculus to find the exact value.