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Parametric Equations and Derivatives

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Thomas White
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Calculating the volume of a sphere
Finding the area under a curve
Solving quadratic equations
Finding parametric equations of tangent lines
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is one of the given parametric equations?
x = t^2 + 3t
y = e^t * sin(t)
z = t^3 - 2t
x = cos(t)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the point at which the tangent line is to be found?
(1, 1, 1)
(1, 0, 1)
(0, 0, 0)
(2, 1, 0)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do we find the parameter value T for a given point?
By solving a quadratic equation
By setting each parametric equation equal to the corresponding coordinate value
By integrating the parametric equations
By differentiating the parametric equations
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of T that satisfies all three parametric equations at the given point?
T = 2
T = 0
T = 1
T = -1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function R(T) composed of?
The product of the parametric equations
The parametric equations in vector form
The sum of the parametric equations
The integral of the parametric equations
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is used to find the derivative of R(T)?
Chain rule
Power rule
Quotient rule
Product rule
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