Arc length Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-2/arc-length/quiz/

1. 1

   Find the length of y = 34x from x = 0 to x = 4.

   Answer: ____________________

2. 2

   Find the length of y = 43x from x = 0 to x = 3.

   Answer: ____________________

3. 3

   Find the length of y = 5 − 2x from x = 0 to x = 2.
   1. A) L ≈ 4.472
   2. B) L ≈ −2
   3. C) L ≈ 44.72
   4. D) L ≈ 5

4. 4

   Find the length of y = 23x^3/2 from x = 0 to x = 3.

   Answer: ____________________

5. 5

   Find the length of y = x^3/2 from x = 0 to x = 4.
   1. A) L ≈ 9073
   2. B) L ≈ 90.73
   3. C) L ≈ 0.9073
   4. D) L ≈ 9.073

6. 6

   Find the length of y = 23x^3/2 from x = 3 to x = 8.

   Answer: ____________________

7. 7

   Find the length of y = 23x^3/2 − 1 from x = 0 to x = 3.
   1. A) L ≈ 46.67
   2. B) L ≈ 4.667
   3. C) L ≈ 0.4667
   4. D) L ≈ 4667

8. 8

   Find the length of y = x³6 + 1/(2x) from x = 1 to x = 2.

   Answer: ____________________

9. 9

   Find the length of y = x⁴8 + 1/(4x²) from x = 1 to x = 2.
   1. A) L ≈ 2063
   2. B) L ≈ 0.2063
   3. C) L ≈ 20.63
   4. D) L ≈ 2.063

10. 10

    Find the length of y = x⁴8 + 1/(4x²) from x = 1 to x = 3.

    Answer: ____________________