Area, Volume, and Arc Length Arc Length: Using and Abusing the Pythagorean Theorem True Or False

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1.	What is the length of the line segment between the points (2,1) and (5,7)? -> True False
2.	The length of the curve of the function f(x) for a ≤ x ≤ b is -> True False
3.	Consider the graph of the function f(x) below. Which of the following could be the arc length of the function f(x) on the interval [-1,1]? -> 2.9 True False
4.	On the interval [-2,2], the length of which curve is closest to 6.3? -> True False
5.	Which integral gives the length of the curve f(x) = x³ + 2x² on [-1,1]? -> True False
6.	Which integral gives the length of the portion of the curve f(x) = x² – 4x – 5 that lies below the x-axis? -> True False
7.	What is the arc length, over the interval a ≤ t ≤ b, of a parametric curve described by the functions x(t) and y(t)? -> True False
8.	Let x(t) = 3t and y(t) = -2t. What is the length of the curve described by these functions for -1 ≤ t ≤ 4? -> 5 True False
9.	What is the length of the curve described by the equations x(t) = t² + 1 y(t) = 4 – 3t between the points (2,1) and (5,10)? -> True False
10.	What is the arc length of the polar function r = θ² for α ≤ θ ≤ β? -> True False

Area, Volume, and Arc Length True or False

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