alloproflala - (d) Find the eq. of straight line tangent at...

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

View Full Document Right Arrow Icon
CT2 Math262FALL2011 Name Student ID The assignment submitted is my own work: Sign here ____________ 1. If ( , ) z f x y = , where sin x t s = and cos y t s = , find 2 z s t ∂ ∂ , 2 2 z s and 2 2 z t ; in terms of the partial derivatives of f(x,y) w.r.t. x and y. 2. Use suitable linearization to find approximate values for the given function 2 ( , ) (2.05, 3.92). y x f x y xe at + = - 3. Given 2 ( , ) 1 f x y xy = + (a) Find the gradient of given function at point (2, -2). (b) Find the directional derivative of f(x,y) at (2, -2) in the direction of - i j . (c) Find the eq. of tangnt plane at (2, -2).
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (d) Find the eq. of straight line tangent at (2, -2) , to the level curve of given function passing through that point. 4. Find a vector tangent to curve of intersection of two cylinders 2 2 2 x y + = and 2 2 2 x z + = at point (1, -1, 1). 5. Given 2 2 2 2 1 x y z w + + + = 2 3 4 2 x y z w + + + = , where ( , ) x x y z = and ( , ) w w y z = . Find z x y and y w z provided that 4 . w x...
View Full Document

Ask a homework question - tutors are online