Questions from General Calculus


Q: If u ∙ v = 0, then u = 0 or

If u ∙ v = 0, then u = 0 or v = 0.

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Q: An oil storage tank ruptures at time t = 0 and oil

An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 100e-0.01t liters per minute. How much oil leaks out during the first hour?

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Q: If u × v = 0, then u = 0 or

If u × v = 0, then u = 0 or v = 0.

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Q: If u ∙ v = 0 and u × v = 0

If u ∙ v = 0 and u × v = 0, then u = 0 or v = 0.

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Q: If u and v are in V3, then |u ∙

If u and v are in V3, then |u ∙ v | < |u | |v |.

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Q: Find an equation of the tangent line to the given curve at

Find an equation of the tangent line to the given curve at the specified point. Y = x2 -1 / x2 + x + 1

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Q: For any vectors u and v in V3, |u +

For any vectors u and v in V3, |u + v | = |u | + |v |.

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Q: For any vectors u and v in V3, |u ∙

For any vectors u and v in V3, |u ∙ v | = |u ||v |.

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Q: For any vectors u and v in V3, |u ×

For any vectors u and v in V3, |u × v | = |u ||v |.

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Q: A ladder 10 ft long rests against a vertical wall. Let

A ladder 10 ft long rests against a vertical wall. Let  be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of t...

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