Solve 9 problem pls (3x + 6y z- 3xy - 2xz + yz)9. Find the direction of zero change for the following function at given point(Баллов: 2)xy + y, at Po (3, 2)O i +jO 7i + 2j10. Find the tangent plane and normal line to function at given point(Баллов: 2)x? + y? + z = 30 at (1, -2, 5)

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Answered: 9. Find the direction of zero change…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

Suppose that z is an implicit function of x and y in a neighborhood of the point P = (0, −3, 1) of the surface S of equation: exz + yz + 2 = 0 An equation for the tangent line to the surface S at the point P, in the direction of the vector w = (3, −2), corresponds to:
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A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t1 = 4.90 s, it is at point (4.60 m, 5.00 m) with velocity (2.00 m/s)ĵ and acceleration in the positive x direction. At time t2 = 13.6 s, it has velocity (–2.00 m/s)î and acceleration in the positive y direction. What are the x and y coordinates of the center of the circular path? Assume at both times that the particle is on the same orbit.
Find the (linear) equation of the tangent plane to the surface z=5y^2−2x^2+x at the point (2,−1,−1). Your answer should be in the form of an equation, e.g., something like ax+by+cz=d or a(x−x0)+b(y−y0)+c(z−z0)=0 would work. Equation:___________________

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9. Find the direction of zero change for the following function at given point (Баллов: 2) xy + y, at Po (3, 2) O i+j O 7i + 21