15) Answer the question shown in the image 15) Suppose z is implicitly given by the equationx³y - yz2 + = 4 in a neighborhood of the pointXP (1, -2), in which z = -2. The value of thedirectional derivative of z at P in the direction ofthe vector w = (-3, -4), corresponds to:24A)3524B)-24C)7-24D)35

Answered: Image /qna-images/answer/09073c2b-9c65-46bd-8e3a-dae39a064838.jpg

Answered: 15) Suppose z is implicitly given by…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose z is given implicitly by the equation x3y-yz2+z/x=4 in a neighborhood of the point P (1, −2), in which z = −2. The value of the directional derivative of z at P in the direction of the vector w = (−3, −4), corresponds to:
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15) Suppose z is implicitly given by the equation x³y – yz2 += 4 in a neighborhood of the point X P (1, -2), in which z = -2. The value of the directional derivative of z at P in the direction of the vector w = (-3, –4), corresponds to: 24 A) 35 B)