Questions from General Calculus


Q: Use the formula in Exercise 12.4.45 to find

Use the formula in Exercise 12.4.45 to find the distance from the point to the given line. (0, 1, 3); x = 2t, y = 6 - 2t, z = 3 + t Exercise 12.4.45:

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Q: A particle moves according to a law of motion s = f

A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. (a) Find the velocity at time t. (b) What is the velocity after 1 second?...

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Q: (a). Find symmetric equations for the line that passes through

(a). Find symmetric equations for the line that passes through the point (1, -5, 6) and is parallel to the vector −1, 2, −3 . (b). Find the points in which the required line in part (a) intersects th...

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Q: Find the distance from the point to the given plane.

Find the distance from the point to the given plane. (1, -2, 4), 3x + 2y + 6z = 5

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Q: Find the distance from the point to the given plane.

Find the distance from the point to the given plane. (-6, 3, 5), x - 2y - 4z = 8

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Q: Find the distance between the given parallel planes. 2x -

Find the distance between the given parallel planes. 2x - 3y + z = 4, 4x - 6y + 2z = 3

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Q: Find parametric equations and symmetric equations for the line. The

Find parametric equations and symmetric equations for the line. The line through the points (1, 2.4, 4.6) and (2.6, 1.2, 0.3)

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Q: Use traces to sketch and identify the surface. /

Use traces to sketch and identify the surface.

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Q: Match the equation with its graph (labeled I–VIII).

Match the equation with its graph (labeled I–VIII). Give reasons for your choice. x2 + 4y2 + 9z2 = 1

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Q: Match the equation with its graph (labeled I–VIII).

Match the equation with its graph (labeled I–VIII). Give reasons for your choice. 9x2 + 4y2 + z2 = 1

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