(b) An insect is flying along a path r(x,y,z) = (x(t), y(t), z(t)) in a room where the temperature is given by the function f(x,y,z). At time to, the insect is at the point P and is travelling at a speed of 2 feet per second. Which expression below gives the rate at which temperature is changing for the insect at time to ? O FRP)-r(to) O 28RP)•r(to) O FRP)-r'(to) O FAP)-N(to) O 2j{P)| O FRP)-T(to)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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(b) An insect is flying along a path r(x,y,z) = (x(t), y(t), z(t)) in a room where the temperature is given by the function f(x,y,z). At time to , the insect is at the point P and is travelling at
a speed of 2 feet per second.
Which expression below gives the rate at which temperature is changing for the insect at time to ?
O FAP)-r(to)
O 28RP)•r(to)
O FRP)-r'(to)
O FRP) N(to)
O FRP)-T(to)
Transcribed Image Text:(b) An insect is flying along a path r(x,y,z) = (x(t), y(t), z(t)) in a room where the temperature is given by the function f(x,y,z). At time to , the insect is at the point P and is travelling at a speed of 2 feet per second. Which expression below gives the rate at which temperature is changing for the insect at time to ? O FAP)-r(to) O 28RP)•r(to) O FRP)-r'(to) O FRP) N(to) O FRP)-T(to)
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