What is the shape of the region enclosed by the equations y = 2x^2 and y = x^2 + 7?

Understanding Area Between Curves

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

Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangle
A bounded region
A rectangle
A circle
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which function is on top when determining the area of the bounded region?
y = x^2 + 7
y = 2x^2
y = 7x^2
y = x^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral used to find the area between two functions?
Integral of f(x) + g(x)
Integral of f(x) - g(x)
Integral of f(x) / g(x)
Integral of f(x) * g(x)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the limits of integration for the area between two curves?
By solving the system of equations
By finding the y-intercepts
By finding the x-intercepts
By graphing the functions
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the symmetry across the y-axis in this problem?
It allows us to use only positive x-values
It indicates the functions are identical
It simplifies the integration process
It means the area is zero
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of 7 with respect to x?
7x^2
7x
7/x
7
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the exact area of the bounded region?
28 square units
7 square root 7 square units
28 square root 7 divided by 3 square units
24.69368 square units
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