Category Archives: Multivariable Calculus

Double integral when change of order is necessary

Find the

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Extreme value subject to two constraints (Lagrange multiplier)

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Chain Rule Multivariable Calculus

Wheat production W in a given year depends on the average temperature and the annual rainfall . Scientists estimate that the average temperature is rising at a rate of C/year and rainfall is decreasing at a rate of 01 cm/year. … Continue reading

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Equation of a Tangent Plane

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Closest point to a double cone

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Classifying point as saddle, max and min

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Set of points at which the direction of fastest change occurs (as equation)

Find all points at which the direction of fastest change of the function is . Enter your answer as an equation.

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Deriving alternate formula for Kappa (things to know) useful for vector functions with polynomial components

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Deriving formula for shortest distance between a point and a plane

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Thinking of distance between skewed line using parallel planes and projection on unit vector

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