PILOT Problem Set 2.pdf - Calculus III PILOT Problem set 2 1 Sketch(some of the level curves of f(x y = cos xy and compute fx fy What can you say about

PILOT Problem Set 2.pdf - Calculus III PILOT Problem set 2...

This preview shows page 1 out of 1 page.

Calculus III PILOT Problem set 2 1. Sketch (some of) the level curves of f ( x, y ) = cos xy and compute f x , f y . What can you say about the spacing of the level curves as | x | or | y | gets big or small? 2.Find lim ( x,y ) (0 , 0) cos xy - 1 x or explain why the limit does not exist. 3. Verify that f ( x, y, z ) = e 3 x +4 y cos (5 z ) satisfies f xx + f yy + f zz = 0 . 4. Let h ( x, y ) = ( x + y x - y ) 2 if x - y 6 = 0. Show that x ∂h ∂x + y ∂h ∂y = 0 . If g ( t ) is a C 1 function of t on the real line and
Image of page 1

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes