
Understanding Quadric Surfaces and Their Intersections
Interactive Video
•
Mathematics, Science
•
9th - 12th Grade
•
Hard

Amelia Wright
FREE Resource
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9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main objective of the problem discussed in the video?
To find the volume of a quadric surface
To describe the trace of a quadric surface intersected by a plane
To calculate the area of a circle
To determine the slope of a line
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What tool is used for the graphical analysis of the intersection?
A 2D graphing calculator
A 3D calc plotter
A spreadsheet software
A statistical analysis tool
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What shape is identified as the trace in the graphical analysis?
Hyperbola
Circle
Parabola
Ellipse
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in the algebraic verification process?
Graph the equation
Substitute y=1 into the equation
Calculate the derivative
Find the maximum value
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of substituting y=1 in the equation?
A linear equation
A quadratic equation
An equation of a circle
An equation of a parabola
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What operation is performed to isolate the variable terms in the equation?
Subtraction
Multiplication
Addition
Division
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of multiplying both sides of the equation by four?
To simplify the equation
To change the variable
To find the derivative
To solve for y
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the right side of the equation after clearing denominators?
One half
Three fourths
Sixty-three sixteenths
One quarter
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What conclusion is reached about the trace of the intersection?
It is an ellipse
It is a parabola
It is a hyperbola
It is a circle
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