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AP®︎ Calculus BC: Topic 8.13 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 8.13 of AP Calculus BC – The Arc Length of a Smooth, Planar Curve and Distance Traveled.

Questions List

Topic 8.13

Q10

Q11

Q12

Q13

Q14

Q15

Q16

Question 1 Easy

Let $f$ be smooth on $[a,b]$ , where $a<b$ .

Which of the following describes the arc length of the graph of $f$ from $x=a$ to $x=b$ ?

AThe straight-line distance between the points

(a,f(a))

and

(b,f(b))

BThe net change in height,

f(b)-f(a)

, between

x=a

and

x=b

CThe length measured along the graph from the point

(a,f(a))

to the point

(b,f(b))

DThe area between the graph and the

x

-axis over the interval from

x=a

x=b

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 8.13: The Arc Length of a Smooth, Planar Curve and Distance Traveled

Learning Objective: CHA-6.A

Determine the length of a curve in the plane defined by a function, using a definite integral.

Essential Knowledge: CHA-6.A.1

The length of a planar curve defined by a function can be calculated using a definite integral.

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AP®︎ Calculus BC: Topic 8.13 Practice Test

Question 1 Easy

What You’re Being Tested On:

Learning Objective CHA-6.A: CHA-6.A.1