Reference no: EM131082211
Midterm 1 Review - Math 53, section 213
1. Find the length of the curve given by x = 3t2, y = 2t3, 0 ≤ t ≤ 2.
2. Compute the cross product of (1, 1, -1) and (2, 4, 6). What is the area of the parallelogram spanned by these vectors?
3. Find an equation for the plane passing through (1, 2, -2) that contains the line x = 2t, y = 3 - t, z = 1 + 3t.
4. Evaluate the following limit or show that it does not exist:
lim(x,y)→(0,0)(x3 + y3/x2 + y2).
What about the limit
lim(x,y)→(0,0)(x2 + y2/x2 - y2)?
5. Find all second partial derivatives of f(x, y, z) = xkylzm.
6. Find equations of the tangent plane and the normal line to the surface xy + yz + zx = 3 at the point (1, 1, 1).
7. Find the maximum rate of change of f(x, y) = x2y + √y at the point (2, 1). In which direction does it occur?
8. Find the critical points (local maxima, minima, and saddle points) of the function f(x, y) = x3 - 6xy + 8y3.
|
How many are managers and players
: How many are managers?
|
|
Explain consumer surplus diagrammically
: Using necessary and sufficient condition explain consumer surplus diagrammically and mathematically?
|
|
What are some suggestions for addressing the issue
: What are some suggestions for addressing this issue? What is the role of nursing as it relates to the identified issue? Identify the source where you first learned about this topic.
|
|
Main psychological processes that affect consumer behavior
: Identify the four main psychological processes that affect consumer behavior, b) discuss at least two of these psychological processes in more detail, and c) provide an example in which one of these processes has influenced your behavior as a con..
|
|
Find the length of the curve
: Find the length of the curve given by x = 3t2, y = 2t3, 0 ≤ t ≤ 2. Compute the cross product of (1, 1, -1) and (2, 4, 6). What is the area of the parallelogram spanned by these vectors
|
|
Designing a global approach for a company
: Imagine that you are designing a global approach for a company. Examine the major pros and cons of having country managers versus brand or line managers, and determine whether or not there are situations where one is better than another. Defend yo..
|
|
Develop a training program for teams to handle emergencies
: You have been asked to develop a training program for teams to handle emergencies at your plant. Pick a job site of your choice (refinery, chemical plant, nuclear power station, etc.).
|
|
Concern of production and operations management
: What is sub optimization and why it is a concern of Production and Operations Management?
|
|
How can management accounting helps strategic decision
: How can management accounting helps strategic decision making process within organisations - Giving examples of the management accounting tools that are used in a decision making.
|