Quiz 1 - dP then evaluate all the partial derivatives to...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Chemistry 230 -- Quiz 1 September 5, 2001 — Tellinghuisen Pledge and signature: Note: If you want your paper returned folded ( i.e. , score concealed), please print your name on the back. 1. (12) Obtain dy / dx for: (a) y = e ln (2 x ) ; (b) y = ln [(3 x 2 + 4) 3 ] (c) y = 5 2 x 3 . 2. (8) The ideal gas law reads PV = nRT , where P is the pressure, V the volume, n the number of moles, R the gas constant, and T the absolute temperature. (a) Express P as a function of V , n , and T . (b) What are the independent and dependent variables here? (c) Give a general (formal) definition of
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: dP ; then evaluate all the partial derivatives to make this expression specific. 3. (6) In problem 11, you had to use the chain rule to obtain the partials ( ∂ f / ∂ x ) t and ( ∂ f / ∂ t ) x , when f was defined as f ( x + ct ). Suppose now that f = f ( u ), with u = x 2 + 3 t . Obtain ( ∂ f / ∂ x ) t , ( ∂ 2 f / ∂ x 2 ) t , and ( ∂ f / ∂ t ) x . [Express these in terms of f' ( u ) and f'' ( u ).]...
View Full Document

{[ snackBarMessage ]}

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