Consider the equation below. 16x2 + y? + 16z2 - 8y – 160z + 400 = 0 Reduce the equation to one of the standard forms. Classify the surface. O circular cone hyperbolic paraboloid hyperboloid of two sheets O elliptic cylinder hyperboloid of one sheet eliptic paraboloid O parabolic cylinder O ellipsoid Sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) (Write an equation for the cross section at z = 5 using x and y.) (Write an equation for the cross section at y = 4 using x and z.) (Write an equation for the cross section at x = 0 using y and z.) Student Response Response Description Update Graph Enter appropriate valugs in the answer blank(s) and click "Update Graph." 6 4. 3 2. -2, -10 20

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the equation below.
16x? + y? + 16z2 - 8y - 160z + 400 = 0
Reduce the equation to one of the standard forms.
Classify the surface.
O circular cone
hyperbolic paraboloid
hyperboloid of two sheets
O elliptic cylinder
hyperboloid of one sheet
elliptic paraboloid
parabolic cylinder
O ellipsoid
Sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen.
Select the Submit button to grade your response.)
(Write an equation for the cross section at z = 5 using x and y.)
(Write an equation for the cross section at y = 4 using x and z.)
(Write an equation for the cross section at x = 0 using y and z.)
Student Response
Response Description
Update
Graph
Enter appropriate valugs in the answer blank(s)
and click "Update Graph."
6
4
3
2.
-2,
-10
20
Transcribed Image Text:Consider the equation below. 16x? + y? + 16z2 - 8y - 160z + 400 = 0 Reduce the equation to one of the standard forms. Classify the surface. O circular cone hyperbolic paraboloid hyperboloid of two sheets O elliptic cylinder hyperboloid of one sheet elliptic paraboloid parabolic cylinder O ellipsoid Sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) (Write an equation for the cross section at z = 5 using x and y.) (Write an equation for the cross section at y = 4 using x and z.) (Write an equation for the cross section at x = 0 using y and z.) Student Response Response Description Update Graph Enter appropriate valugs in the answer blank(s) and click "Update Graph." 6 4 3 2. -2, -10 20
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