Questions from Calculus

Q: The wave heights h in the open sea depend on the speed

The wave heights h in the open sea depend on the speed v of the wind and the length of time t that the wind has been blowing at that speed. Values of the function h = f (v, t) are recorded in feet in...

Q: The temperature-humidity index I (or humidex, for short

The temperature-humidity index I (or humidex, for short) is the perceived air temperature when the actual temperature is T and the relative humidity is h, so we can write I = f (T, h). The following t...

Q: Find the limit, if it exists, or show that the

Find the limit, if it exists, or show that the limit does not exist.

Q: Use a computer graph of the function to explain why the limit

Use a computer graph of the function to explain why the limit does not exist.

Q: Find h (x, y) = g (f (

Find h (x, y) = g (f (x, y)) and the set of points at which h is continuous.

Q: Sketch both a contour map and a graph of the function and

Sketch both a contour map and a graph of the function and compare them. f (x, y) = x2 + 9y2

Q: Sketch both a contour map and a graph of the function and

Sketch both a contour map and a graph of the function and compare them.

Q: Graph the function and observe where it is discontinuous. Then use

Graph the function and observe where it is discontinuous. Then use the formula to explain what you have observed. f (x, y) = e1/(x-y)

Q: Graph the function and observe where it is discontinuous. Then use

Graph the function and observe where it is discontinuous. Then use the formula to explain what you have observed.

Q: Use a computer to graph the function using various domains and viewpoints

Use a computer to graph the function using various domains and viewpoints. Get a printout of one that, in your opinion, gives a good view. If your software also produces level curves, then plot some c...