The temperature at a point (z, y, z) is given by where T'is in degrees Celsius and z, y and z are in metres. Consider the point P P() Find the rate of change in temperature, R₁ at the point P. in the direction toward the point R₁ = b a V sin (a) ab sin (a) 8 R₂ T(x, y, z) = 2e-72²-3y²-7z² 18 8 Or 8 Show/hide Find the unit vector v in the direction of the fastest temperature increase at P ∞ Find the maximum rate of increase, R₂, at P. a b sin (a) -⠀⠀ 00 S2 Show/hide a 52 a $2 Show/hide ?

The temperature at a point (z, y, z) is given by where T'is in degrees Celsius and z, y and z are in metres. Consider the point P P() Find the rate of change in temperature, R₁ at the point P. in the direction toward the point R₁ = b a V sin (a) ab sin (a) 8 R₂ T(x, y, z) = 2e-72²-3y²-7z² 18 8 Or 8 Show/hide Find the unit vector v in the direction of the fastest temperature increase at P ∞ Find the maximum rate of increase, R₂, at P. a b sin (a) -⠀⠀ 00 S2 Show/hide a 52 a $2 Show/hide ?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 12E

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