If x, y, and z are lengths of the edges of a rectangular box, the common length

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If x, y, and z are lengths of the edges of a rectangular box, the common length of the box’s diagonals is s = √x² + y² + z².

a. Assuming that x, y, and z are differentiable functions of t, how is ds/dt related to dx/dt, dy/dt, and dz/dt?

b. How is ds/dt related to dy/dt and dz/dt if x is constant?

c. How are dx/dt, dy/dt, and dz/dt related if s is constant?

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: Apr 19, 2023 11:03 AM

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If x, y, and z are lengths of the edges of a rectangular box, the common length

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a To find how dsdt is related to dxdt dydt and dzdt when x y and z are assumed to be differentiable ...View the full answer

Thomas Calculus Early Transcendentals

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