MATH 3470 -203
Lab 9 Local Linearity & The Differential
In this lab, we will use MATLAB graphics and computation to demonstrate linearization of functions
of two variables.
Part 1 The Tangent Plane Approximation Formula
Consider the function of two variab
Yes, I do believe the Civil War between the North and
South was inevitable. Give the key issues. Economically,
politically, socially were pushing them apart.
II. Social factors
Things keeping us together We're all racist together (all wh
Truman's Fair Deal
In 1948 runs for president
Roosevelt in 1944 established a civil rights that guaranteed a lot of things for the people but didn't pass so
then the GI bill was passed.
Countries become m
Lab 5 Graphs of Functions
Question: What is the meaning of the number 5 in the 3rd column of the 2nd row? Be specific and
refer to x and y.
Answer: It is the result of x=3, y=2
f(x,y) = 2x + 3y 3
f(x,y) = x2 y2
f ( x, y)
Lab 3 Vectors
In this lab, we will use MATLAB to illustrate vectors as well as vector operations (addition,
subtraction, scalar multiplication and dot product).
Part 1 Vectors
Two features about vectors we wish to highlight are:
a. A vector is r
Lab 7 Partial Derivatives
In this lab, we will use MATLAB graphics to understand the geometrical meaning of partial
derivatives. Before starting on the lab, make sure you download the m-files dqx.m, dqy.m, xslice.m,
and yslice.m from the website
Lab 6 Contour Plots
In this lab, we will use Matlab to demonstrate how contours are related to graphs of functions of two
Part 0 Functions of Two Variables
Before starting in on contours, we will present a new way to work with functio
Lab 4 Vectors Again
1.3 Example: Finding the equation of a specific plane from the general formula
Find the formula of the plane passing through the point P(1, 2, 3) perpendicular to the vector
= -i + j + 2k.
The solution can be fou
Lab 2 Three Dimensional Space
Part 1 Coordinate Axes
Question: Can you identify the x- y- and z- intervals pictured in the plot?
-2 < x < 2; -2 < y < 2 ; -2 < z < 2
Question: What would you type to get MATLAB to ret
Lab 8 Lagrange Multipliers for Constrained Maxima & Minima
Part 1 Minimum & Maximum Values
From Calculus I, you know that a continuous function on a closed interval [a, b] attains a maximum
and minimum value somewhere in that interval
Lab 9 Functions of 3 Variables
Part 1 How to Visualize a Function of Three Variables
A function of three variables can be defined in MATLAB in a manner extending from two to three
variables. However, we will see that it is often helpful to reduc
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