Category Archives: 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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Lagrange Multiplier open box problem

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IB SL Section B Question on Cylinder made out of A4 sheet

For a homework assignment, Tiffany makes a cylinder out of paper with volume of exactly 200 cu cm. To make a curved surface of the cylinder. Tiffany cuts a rectangular shape from a standard A4 sheet of paper.

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IB SL AI Section B Question on Greenhouse

A greenhouse is made in the shape of a half cylinder. It is constructed from galvanized steel frame with a multiwall polycarbonate sheeting

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