An insect is in a toxic environment. The level of toxicity is given by T(x,y)= 2x* – 4y° If the insect is at (–3,4), in which direction should it move so that the toxicity decreases as quickly as possible and thus avoid being affected by it?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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An insect is in a toxic environment. The level of toxicity is given by T(x,y)=2x* – 4y
If the insect is at (-3,4), in which direction should it move so that the toxicity decreases as quickly as possible and thus
avoid being affected by it?
a. 24i+48j
b. 8xj-12yi
C. -8xj-12yj
d. -24j-48j
Transcribed Image Text:An insect is in a toxic environment. The level of toxicity is given by T(x,y)=2x* – 4y If the insect is at (-3,4), in which direction should it move so that the toxicity decreases as quickly as possible and thus avoid being affected by it? a. 24i+48j b. 8xj-12yi C. -8xj-12yj d. -24j-48j
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