What is the function for which we are finding the arc length?

Arc Length and Derivatives Assessment

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

Amelia Wright
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
y = 2x^(3/2)
y = 5x^(1/2)
y = 4x^(3/2)
y = 3x^(2/3)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the interval over which the arc length is calculated?
[0, 5]
[2, 4]
[1, 3]
[3, 6]
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to calculate the arc length of a function?
Integral of f(x) dx
Integral of sqrt(1 + (f'(x))^2) dx
Integral of f'(x) dx
Integral of (f(x))^2 dx
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the function y = 4x^(3/2)?
5x^(1/2)
4x^(1/2)
3x^(1/2)
6x^(1/2)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is used to simplify the integral?
u = 1 + 9x
u = 1 + 4x
u = 1 + 6x
u = 1 + 36x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the new limits of integration after substitution?
70 to 140
60 to 120
80 to 160
73 to 145
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of u^(1/2) with respect to u?
u^(3/2) / (3/2)
u^(2/3) / (2/3)
u^(1/2) / (1/2)
u^(3/2) / (2/3)
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