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The height of a right circular cone increases from 21.00 cm to 21.10 cm while th

ID: 3346096 • Letter: T

Question

The height of a right circular cone increases from 21.00 cm to 21.10 cm while the radius decrease from 12.00 cm to 11.85 cm. Use a total differential to approximate the change in volume. The electric current in a circuit containing a variable resistor R is given by I = 25 (1 - e 8.25 Ohm and t changes from 4.0 s to 4.1 s. Find any relative maximum or minimum points or saddle points for each function. Z = 9 + 6x - 8y - 3x2 - 2y2 z = 1 / x + 1 / y + xy z = 9 + 6x - 8y - 3x2 - 2y2 z = x2 - y2 - 2x - 4y - 4 z = x2 - y2 - 6x + 4y z = 4x3 + y2 - 12x2 - 36x - 2y z = 4x2 + 3y2 - 16x - 24y + 5 z = 60x + 60y - xy - x2 - y2 z = x2 + y2 + 2x + 3y + 3 z = x3 - y3 - 3xy + 4 z = x3 + y3 - 3x2 - 9y2 - 24x Find the dimensions of a rectangular box, with no top, having a volume of 500 cm 3 and using the least amount of material. A rectangular box with no top and a volume of 6 ft 3 needs to built from material that costs $6/ft 2 for the bottom. $2/ft 2 for the front and back, and $l/ft 2 for the sides. Find the dimensions of the box in order to minimize the cost. Find three positive numbers whose sum is 30 and whose product is a maximum Find three positive numbers whose sum is 30 and whose sum of squares is a minimum In Section 8.2, partial differentiation with respect to y that holds x constant. This will usually be the first of two integrations, the second being an ordinary integration with respect to y. Either sequence of integrations is called double integration using an iterated double integral.

Explanation / Answer

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find the local maximum and minimum values and saddle point or points of the function f(x,y) = 2x