
Vector Valued Functions and Curve of Intersection

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
+2
Standards-aligned

Liam Anderson
FREE Resource
Standards-aligned
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10 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 paraboloid.
To determine the intersection curve of a paraboloid and a surface.
To calculate the area under a curve.
To solve a quadratic equation.
Tags
CCSS.7.G.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which two surfaces are being considered for intersection in the video?
A sphere and a plane.
A cylinder and a cone.
A cube and a pyramid.
A paraboloid and a surface defined by x = e^y.
Tags
CCSS.7.G.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of the graphical representation shown in the video?
To illustrate the volume of the paraboloid.
To depict the height of a cylinder.
To show the intersection of the paraboloid and the surface.
To demonstrate the area of a circle.
Tags
CCSS.HSF-IF.C.7A
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is Y(t) defined to satisfy the equation of the surface?
Y(t) is defined as the cube of t.
Y(t) is defined as a constant.
Y(t) is defined as the square of t.
Y(t) is defined as t.
Tags
CCSS.HSF.TF.B.7
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between X(t) and Y(t) in the context of the surface equation?
X(t) is half of Y(t).
X(t) is the cube of Y(t).
X(t) is equal to e raised to the power of Y(t).
X(t) is the square root of Y(t).
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for Z(t) derived from the paraboloid equation?
Z(t) = 3e^(2t) + t^2
Z(t) = e^(3t) + t^2
Z(t) = 3t^2 + e^t
Z(t) = 3e^t + t^2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the vector valued function R(t) not unique?
Because the surface equation is incorrect.
Because the paraboloid equation is incorrect.
Because there are multiple ways to define X(t) and Y(t).
Because there are multiple ways to define Z(t).
Tags
CCSS.HSA.APR.A.1
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