Arc length Quiz
10 questions · easy to harder · Calculus 2 · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 4 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Find the length of y = 34x from x = 0 to x = 4.Type the answer.
2 Question 2
Find the length of y = 43x from x = 0 to x = 3.Type the answer.
3 Question 3
Find the length of y = 5 − 2x from x = 0 to x = 2.- A) L ≈ 4.472
- B) L ≈ −2
- C) L ≈ 44.72
- D) L ≈ 5
4 Question 4
Find the length of y = 23x3/2 from x = 0 to x = 3.Type the answer.
5 Question 5
Find the length of y = x3/2 from x = 0 to x = 4.- A) L ≈ 9073
- B) L ≈ 90.73
- C) L ≈ 0.9073
- D) L ≈ 9.073
6 Question 6
Find the length of y = 23x3/2 from x = 3 to x = 8.Type the answer.
7 Question 7
Find the length of y = 23x3/2 − 1 from x = 0 to x = 3.- A) L ≈ 46.67
- B) L ≈ 4.667
- C) L ≈ 0.4667
- D) L ≈ 4667
8 Question 8
Find the length of y = x36 + 1/(2x) from x = 1 to x = 2.Type the answer.
9 Question 9
Find the length of y = x48 + 1/(4x2) from x = 1 to x = 2.- A) L ≈ 2063
- B) L ≈ 0.2063
- C) L ≈ 20.63
- D) L ≈ 2.063
10 Question 10
Find the length of y = x48 + 1/(4x2) from x = 1 to x = 3.Type the answer.