
Understanding Area Between Curves

Interactive Video
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Mathematics
•
9th - 12th Grade
•
Hard

Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the two functions between which we need to find the area?
y = e^(-0.5x) and y = 3/2x + 1
y = e^(x) and y = x + 1
y = e^(0.5x) and y = 3/2x - 1
y = e^(-x) and y = 2x + 1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to know which function is on top when setting up the integral?
To calculate the derivative
To find the points of intersection
To decide the order of subtraction in the integrand
To determine the limits of integration
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the lower limit of integration for the area between the curves?
x = -1
x = 5
x = 0
x = 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is used for the exponential function during integration?
u = 0.5x
u = -x
u = -0.5x
u = x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of the linear function 3/2x + 1?
3/2x^2 + 1
3/4x^2 + 1
3/2x^2 + x
3/4x^2 + x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the exact value of the area between the curves?
75/4 + 3e^(-5/2)
87/4 + 3e^(-5/2)
87/4 + 2e^(-5/2)
75/4 + 2e^(-5/2)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the approximate decimal value of the area between the curves?
21.91417
22.91417
20.91417
23.91417
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