O A snake is crawling on a surface. The temperature at a point (x, y) is given by T(x, y) = 70 + 5 sin(x) cos(y). The snake's position at a time t is P(t) = (t cos(at), t sin(at)). How fast is the temperature changing under the snake at t = 5? %3|

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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O A snake is crawling on a surface. The temperature at a point (x, y) is given by T(x, y) = 70 +
5 sin(x) cos(y). The snake's position at a time t is P(t) = (t cos(nt), t sin(rt)). How fast is the
temperature changing under the snake at t = 5?
Transcribed Image Text:O A snake is crawling on a surface. The temperature at a point (x, y) is given by T(x, y) = 70 + 5 sin(x) cos(y). The snake's position at a time t is P(t) = (t cos(nt), t sin(rt)). How fast is the temperature changing under the snake at t = 5?
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