Questions from Calculus


Q: The body mass index (BMI) of a person is defined

The body mass index (BMI) of a person is defined by where m is the person’s mass (in kilograms) and h is the height (in meters). Draw the level curves B (m, h) = 18.5, B (m, h) = 25,...

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Q: In Example 2 we considered the function W = f (T

In Example 2 we considered the function W = f (T, v), where W is the wind-chill index, T is the actual temperature, and v is the wind speed. A numerical representation is given in Table 1 on page 889....

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Q: The body mass index is defined in Exercise 39. Draw the

The body mass index is defined in Exercise 39. Draw the level curve of this function corresponding to someone who is 200 cm tall and weighs 80 kg. Find the weights and heights of two other people with...

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Q: Sketch the graph of the function. f (x,

Sketch the graph of the function. f (x, y) = x2

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Q: The magnitude of the acceleration vector a is 10 cm/s2

The magnitude of the acceleration vector a is 10 cm/s2. Use the figure to estimate the tangential and normal components of a.

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Q: A contour map for a function f is shown. Use it

A contour map for a function f is shown. Use it to estimate the values of f (-3, 3) and f (3, -2). What can you say about the shape of the graph?

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Q: The position function of a spaceship is and the coordinates of a

The position function of a spaceship is and the coordinates of a space station are (6, 4, 9). The captain wants the spaceship to coast into the space station. When should the engines be turned off?...

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Q: Shown is a contour map of atmospheric pressure in North America on

Shown is a contour map of atmospheric pressure in North America on August 12, 2008. On the level curves (called isobars) the pressure is indicated in millibars (mb). (a). Estimate the pressure at C...

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Q: Level curves (isothermals) are shown for the typical water temperature

Level curves (isothermals) are shown for the typical water temperature (in 0C) in Long Lake (Minnesota) as a function of depth and time of year. Estimate the temperature in the lake on June 9 (day 160...

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Q: Two contour maps are shown. One is for a function f

Two contour maps are shown. One is for a function f whose graph is a cone. The other is for a function t whose graph is a paraboloid. Which is which, and why?

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