Needed only Question 8 , needed correct solution and clearly... 7. For f(x, y) = xea) find the rate of change of f at (2,0) in the direction of the vector 47-37b) what is the direction of fastest increase at (2,0) and what is that rate?8. Find the equation of the plane tangent to the surface z? = x²y+y2x+ 10%3Dat the point (2,1,4).

Answered: Image /qna-images/answer/43ca9167-5224-41e6-9f5e-f401a4a5797e.jpg

Answered: b) what is the direction 8. Find the…

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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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.
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b) what is the direction 8. Find the equation of the plane tangent to the surface z? = x?y + y2x+ 10 %3D at the point (2,1,4).