Which of the vertical traces are parabolas opening up

Assignment Help Mathematics

Reference no: EM131006892

Consider Figure below. You will notice that this Hyperbolic Paraboloid has the equation z = (x/2)² - (y/3)² = (x²/4) - (y²/9). For simplicity we give this function the name f(x, y) so that f(x,y) = (x²/4) - (y²/9).

1790_The Hyperbolic Paraboloid.png

a. Notice that all of the vertical traces are parabolas whether these vertical traces are in the planes x = a or in the planes y = b, where a and b can be any real numbers. Which of these vertical traces are parabolas opening up and which are parabolas opening down?

b. Is f_xx positive or negative?

c. Is f_yy positive or negative?

Reference no: EM131006892

Questions Cloud

Meeting of employees to express : The president of a nonunion company called a meeting of employees to express his dissatisfac- tion regarding worker productivity and scrap rates. He also announced that breaks would be more restricted.

How rapidly the disturbed area of water is increase : If the radius of the outer ripple increases uniformly at the rate of 2 cm. per sec. determine how rapidly the disturbed area of water is increasing at the end of 10 seconds.

How can each of qualities be put into practice to improve : What are the intellectual virtues that are necessary for the development of fair-minded critical thinking skills? How can each of these qualities be put into practice to improve our thinking?

Risks of a performance-based compensation system : To draft an action plan for the implementation of your new system (for each stage you will identify the action, when and how it will implemented as well as the resources that you might need)

Which of the vertical traces are parabolas opening up : Notice that all of the vertical traces are parabolas whether these vertical traces are in the planes x = a. Which of these vertical traces are parabolas opening up and which are parabolas opening down?

Overview of cybersecurity framework : Look at the overviews of CobIT, ISO 27001, and the NIST cybersecurity framework How are they similar - How are they different? Which would you feel is more effective if you were selecting which one to use in an organization?

The differences in accounting for proceeds from the issuance : The differences in accounting for proceeds from the issuance of convertible bonds and of debt instruments with separate warrants to purchase common stock.

Determining the particular circumstance : In this particular circumstance, the director of nursing asked her to fill out the evaluation because she was not familiar with the employee. The RN was discharged after circulating a petition protesting an action of the employer. Was this RN a su..

Fostering flexibility or diminishing : What are the potential benefits? Pro- blems? (David J. Walsh. "The FLSA Comp Time Controversy: Fostering Flexibility or Diminishing Worker Rights?" Berkeley Journal of Employment and Labor Law 20, 1 (1999))

User Account

All Pages