Question

Z=x+2y xy2yx² ata surface 5) Find the derivative of f(x, y, z)=. point P(x, y, z) and in the direction towards the origina

Can you solve this question in details

0 0
Add a comment Improve this question Transcribed image text
Answer #1

somh :- the given f(x, y, z) = xyly x Z The denivative of f(x, y, z) ata point P(??), 2) and in the direction towards the ori

Add a comment
Know the answer?
Add Answer to:
Can you solve this question in details Z=x+2y xy2yx² ata surface 5) Find the derivative of...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 7. (20 pts) Consider the surface given by z wy - 4xy + 3x - 2y....

    7. (20 pts) Consider the surface given by z wy - 4xy + 3x - 2y. (a) Find the equation of the tangent plane to this surface at the point where (x,y) - (1,3). (b) Find the gradient f at the point where (x,y) = (1,3). (c) Find the directional derivative DaS(1,3) where it is the unit vector in the direction of (1, -2). such that the directional derivative Daf(1.3) is a maximum (d) Find a unit vector in the...

  • 6) a (15 pts) Find the derivative of (x,y,z-xy, + x3yz + z3yx in the direction of v -2 -4k at the...

    6) a (15 pts) Find the derivative of (x,y,z-xy, + x3yz + z3yx in the direction of v -2 -4k at the function fix.y z) at the point vo Can you find any direction(s) where the surface is neither increasing nor decreasing? e point vo (2, 1, -3). What is the rate of maximal increase to the b. (10 pts) Find a normal vector and the tangent plane to the following level surface x'y t yz+2 3 at (1, 1,...

  • pls solve these three parts of the question a) Show that the vector + =(x+2y+4z)i +(2x-3y-z)j...

    pls solve these three parts of the question a) Show that the vector + =(x+2y+4z)i +(2x-3y-z)j +(4x-y-22). is irrotational and find its 7 scalar potential. b) Find the directional derivative of xyz + xz at (1, 1, 1) in a direction of the normal to the 171 surface 3xy? + y= z at (0, 1, 1). c) Find the angle between the normal to the surface x2 = yz at the points (1, 1, 1) and (2, 4, 1). (6)

  • please help solve 4 and 5 4a. Find the directional angle of 5π/4 with the x-axis....

    please help solve 4 and 5 4a. Find the directional angle of 5π/4 with the x-axis. In which direction is the directional derivative the largest? Vc unit C derivative of z = x2 y at the point (2, 1) in the direction making an 2 2 Directionalolerniv it largest aler b. Find the directional derivative of z = x2y at the point (2, 1) in the direction making an angle of 5π / 4 with grad/(2,1). 5. At what point...

  • Question 5 Find the directional derivative off at P in the direction of a. f(x, y,...

    Question 5 Find the directional derivative off at P in the direction of a. f(x, y, z) = xy +z+; P(2, -2,2); a =i+j+k Duf = ? Edit

  • TOTAL MARKS: 25 QUESTION 4 (a) Find a normal vector and an equation for the tangent plane to the ...

    TOTAL MARKS: 25 QUESTION 4 (a) Find a normal vector and an equation for the tangent plane to the surface at the point P: (-2,1,3). Determine the equation of the line formed by the intersection of this plane with the plane z = 0. 10 marks (b) Find the directional derivative of the function F(r, y, z)at the point P: (1,-1,-2) in the direction of the vector Give a brief interpretation of what your result means. 2y -3 [9 marks]...

  • Solve the following problems. Show your work clearly. Q1. (10+10+5=25 points) a) Find the gradient of...

    Solve the following problems. Show your work clearly. Q1. (10+10+5=25 points) a) Find the gradient of the function f(x, y) = 3x2 – 2xy + 2y and calculate it at (-1,1). b) Calculate the directional derivative of f(x,y) = 3x2 - 2xy + 2y at the point (-1,1) in the direction of the vector v =< -2,2> c) After solving part (a), if the vector in part (b) was given as v =< 1,0 > could you find the derivative...

  • 6. For a given function f(x, y), is noted that at the point P(1,1) the directional derivative in the direction towards...

    6. For a given function f(x, y), is noted that at the point P(1,1) the directional derivative in the direction towards (0,0) is 1, while the directional derivative towards (1.2) is -1. Find andf at 6. For a given function f(x, y), is noted that at the point P(1,1) the directional derivative in the direction towards (0,0) is 1, while the directional derivative towards (1.2) is -1. Find andf at

  • Consider the following function 6 f(x, y,z)=z - x? cos(my) + xy? (i) Find the gradient...

    Consider the following function 6 f(x, y,z)=z - x? cos(my) + xy? (i) Find the gradient of the function f(x, y, z) at the point P,(2,-1,-7). (ii) Find the directional derivative of f(x, y, z) at P,(2,-1,-7) along the direction of the vector ū = 2î+j+2k. (iii) Find the equation of the tangent plane to the surface given below at the point P,(2,-1, -7). 6 :- xcos(ty) + = 0 xy

  • 1. Find the directional derivative of the function f(x, y, z) = 2.cy – yz at...

    1. Find the directional derivative of the function f(x, y, z) = 2.cy – yz at the point (1,-1,1) in the direction of ū= (1,2,3). Is there a direction û in which f(x, y, z) has a directional derivative Dof = -3 at the point (1,-1,1)?

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT