What is the shape of a Norman window?

Norman Window Area and Derivatives

Interactive Video
•
Mathematics, Architecture
•
10th - 12th Grade
•
Hard

Ethan Morris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangle with a semicircle on top
A triangle with a semicircle on top
A square with a semicircle on top
A circle with a rectangle inside
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the perimeter constraint for the Norman window problem?
16 feet
20 feet
18 feet
14 feet
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the area of the Norman window calculated?
Area of the rectangle plus the area of the semicircle
Area of the rectangle minus the area of the semicircle
Area of the semicircle only
Twice the area of the rectangle
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of finding the derivative of the area equation?
To find the minimum area
To find the maximum area
To find the average area
To find the perimeter
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the critical number used for in this problem?
To find the average width
To determine the maximum area
To determine the minimum perimeter
To calculate the radius
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the second derivative test confirm about the area function?
The function is concave up
The function is concave down
The function is linear
The function is constant
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the approximate width of the rectangle for maximum area?
4.48 feet
3.5 feet
6 feet
5.2 feet
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