Question: 2. Consider the surface y = - - 4z2 a. NEATLY sketch three USEFUL traces of this surface, one parallel to each of the main

2. Consider the surface y = - - 4z2 a. NEATLY sketch three USEFUL traces of this surface, one parallel to each of the main planes (the xy-plane, the yz-plane, and the xz-plane). A useful trace contains more than one point. Be sure to clearly label each trace, including the axes. (6 points) b. Identify the quadric surface. (1 point) 3. Construct an equation for each of the following quadric surfaces a. A hyperboloid of one sheet whose x = 0 trace is an ellipse with axis (ie, distance all the way across the ellipse) of 4 in the y-direction and axis of 6 in the z-direction. (2 points) b. An elliptical paraboloid whose y = 1 trace is a circle of radius 5. (2 points)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

1. Consider the surface - + z2 = 1 a. NEATLY sketch three USEFUL traces of this surface, one parallel to each of the main planes (the xy-plane, the yz-plane, and the xz-plane). A useful trace...

806 Chapter Fifteen OPTIMIZATION: LOCAL AND GLOBAL EXTREMA If f is not continuous or the region R is not closed and bounded, there is no guarantee that f achieves a global maximum or global minimum...

U.S. Department of Transportation Federal Aviation Administration Subject: RUNWAY LENGTH REQUIREMENTS FOR AIRPORT DESIGN Advisory Circular Date: 7/1/2005 Initiated by: AAS-100 AC No: 150/5325-4B...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

For monotone functions f, f0: P Q between posets (P, vP ) and (Q, vQ), let f v f(i) Prove that the binary relation v is a partial order. [3 marks] (ii) For monotone functions between posets p : P 0...

If rounding at any point, round to two decimal places. Problem 1: Consider the surface 2 = 3:2 +153; sin[y]. (a) Compute 2;. (b) Compute 2.3,. (c) Compute the rate of change of the surface 2, at the...

2 . Consider the surface z = x 2 + y 2 1 . ( a ) Find the equation of the tangent plan to this surface at ( 1 0 0 ) . What is a unit normal vector to the surface here? [ Hint: This surface can be...

4. Liquid oxygen has a boiling point of 90K and a latent heat of vaporization of 214kJ/kg, is stored in a spherical container whose outer surface is 300mm in diameter. The temperature of the outer...

1. Consider C3 : y 1 = z 2 . a.) Sketch the graph of the right cylinder with directrix C3. b.) Find the equation and sketch the graph of the surface generated by C3, revolved about the z-axis. 2....

1. Equation for Tangent Plane: Write the equation for the tangent plane for the surface S at the point P. Remember we have two different formulas for the tangent plane to a surface, one for graphs;...

Refer to Example 8.6. In example a. Apply the KruskalWallis test to determine if there is a difference in the distributions of opinions across the four geographical regions. b. Does your conclusion...

Stanton Technology owns 100% of Goldman Corporation, a controlled foreign corporation. Goldmans taxable income from its manufacturing operations is $3 million, and it does not pay a dividend during...

Try to remember a positive service experience from your past; what made it good? Frame your answer in terms of the SERVQUAL dimensions.

The force constant of a massless spring is 2 5 . 0 N / m . A mass of 0 . 4 5 kg is oscillating in simple harmonic motion at the end of the spring

Working backward from data on marketable securities transaction. (Adapted from a problem by S. A. Zeff.) During Year 3. Fischer/Black Co. purchased equity se- curities. On May 22, Year 4, the company...

Working backward from data on marketable securities transaction. (Adapted from a problem by S. A. Zelf.) On December 12. Year 2. Canning had purchased 2,000 shares of Werther. By December 31. the...

Journal entries to apply the market value method for long-term investments in securities. The following information summarizes data about the minority, passive investments in securities of Randle...