test2review_sp10-1

# test2review_sp10-1 - MAT 267 TEST 2 REVIEW NOTE: Below the...

This preview shows pages 1–2. Sign up to view the full content.

MAT 267 TEST 2 REVIEW NOTE: Below the Examples and hw refer to examples and homework from the textbook, ww refers to webwork hw problems. CHAPTER 11 11.1 Know how to: Sketch the graph of basic surfaces (Examples 3,4, hw 18). Find the domain of two and three variable functions (Examples 1,2,10, ww 1, 2, hw 4, 8 ). Know how to graph level curves (Examples 6, 7, 8, 9, ww 6) and be able to match graphs of 3 dimensional surfaces and their contour maps (ww 4,5, hw 21, 22). Know how to find equations for the level surfaces of a three variable function (Example 11) . 11.3 Know how to Find partial derivatives of two and three variable functions algebraically (Examples 1, 3,5, ww 1-8), and how to estimate their value given the contour plot of the function (hw 2). Understand the geometrical meaning of the partial derivative with respect to x (rate of change in the direction of the positive x -axis) and y (rate of change in the direction of the positive y -axis) (Example 2, hw 2,3,4). Find higher order partial derivatives (Examples 6 and 7, ww 7, 8). Differentiate implicitly if z is defined implicitly as a function of x and y (Example 4, ww 9). (Note that in section 11.5 a very convenient formula for implicit differentiation is derived). 11.4 Be able to Find the equation of the tangent plane to a surface z = f ( x , y ) at a given point P 0 = x 0 , y 0 , z 0 : z = z 0 f x x 0 , y 0  x x 0  f y x 0 , y 0  y y 0 (Example 1, ww 1, 2) Find linear approximation (local linearization) of a two variable function f ( x , y ) at a given point x 0, y 0 : L x , y = f x 0,

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 08/25/2011 for the course CHE 113 taught by Professor Burrows during the Spring '11 term at ASU.

### Page1 / 3

test2review_sp10-1 - MAT 267 TEST 2 REVIEW NOTE: Below the...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online