Rectangle Optimization and Properties
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the two categories of turning points discussed in the video?
Linear and non-linear
Concave up and concave down
Positive and negative
Increasing and decreasing
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the rectangle problem, what is the constant area given?
60 square centimeters
24 square centimeters
36 square centimeters
48 square centimeters
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in the four-step optimization process?
Use calculus
Answer the question
Look for restrictions
Create a model
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the width of the rectangle determined in the model?
By subtracting the length from the area
By adding the length to the area
By multiplying the length by 2
By dividing the area by the length
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for the perimeter of the rectangle in terms of x?
2x + 36
2x + 72/x
x + 36/x
x + 72
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't x be equal to zero in the rectangle problem?
Because it would make the area undefined
Because it would make the width zero
Because it would make the length negative
Because it would make the perimeter zero
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the perimeter function with respect to x?
2 + 72/x^2
2 - 72x^2
2 + 72x^2
2 - 72/x^2
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