
Vector-Valued Functions and Ellipses

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+2
Standards-aligned

Jackson Turner
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in converting a rectangular equation to a vector-valued function?
Find the derivative
Express it as a set of parametric equations
Graph the equation
Solve for y
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation y = 0.5x^2 - 3, if x is replaced by t, what is the expression for y?
0.5t - 3
0.5t^2 + 3
0.5t^2 - 3
t^2 - 3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does expressing a curve as a vector-valued function provide?
The slope of the curve
The area under the curve
The orientation of the curve
The length of the curve
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of geometric shape is represented by the equation x^2/25 + y^2/4 = 1?
Hyperbola
Parabola
Ellipse
Circle
Tags
CCSS.HSF-IF.C.7D
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which trigonometric identity is used to convert the ellipse equation to a vector-valued function?
sin^2(theta) + cos^2(theta) = 1
tan^2(theta) + 1 = sec^2(theta)
1 + cot^2(theta) = csc^2(theta)
sin(theta) = cos(theta)
Tags
CCSS.HSF.TF.B.7
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the parametric expression for x in the ellipse equation conversion?
5 sin(t)
2 cos(t)
5 cos(t)
2 sin(t)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the parametric expression for y in the ellipse equation conversion?
2 sin(t)
5 cos(t)
2 cos(t)
5 sin(t)
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