What is the formula used to calculate the arc length of a curve?

Functions and Arc Length Calculations

Interactive Video
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Mathematics
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10th - 12th Grade
•
Hard

Amelia Wright
FREE Resource
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Differentiation of the function
Integration of the square root of 1 plus the derivative squared
Integration of the derivative
Multiplication of the function by its derivative
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what substitution is made to simplify the integration?
U = 81x
U = 1 + x
U = 1 + 81x
U = x^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the new limits of integration after substitution in the first example?
0 to 1
1 to 81
1 to 82
0 to 82
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is the function given for calculating the arc length?
Y = 3x^2
Y = 3x^(2/3)
Y = x^3
Y = 2x^(3/2)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of squaring the derivative in the second example?
x^(1/3)
x^(5/3)
x^(2/3)
x^(4/3)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the third example, what is the function given in terms of y?
X = (1/3)(y^3 + 2)^(2/3)
X = (1/2)(y^3 + 2)^(3/2)
X = (1/3)(y^2 + 2)^(3/2)
X = (1/3)(y^2 + 3)^(2/3)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the perfect square trinomial identified in the third example?
y^2 + 2y + 1
y^2 + 3y + 1
y^2 + y + 1
y^2 + 2y + 2
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