Line integrals and work Quiz
10 questions · easy to harder · Calculus 3 · 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.
- 0 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
Line integral of F = <y, x> along the segment from (0, 0) to (1, 2)Type the answer.
2 Question 2
Line integral of F = <2, 3> along the segment from (0, 0) to (4, 1)Type the answer.
3 Question 3
Line integral of F = <x2, y> along the segment from (0, 0) to (1, 1)Type the answer.
4 Question 4
Line integral of F = <3, y> along the segment from (0, 0) to (2, 2)Type the answer.
5 Question 5
Line integral of F = <x, x> along y = x2 from (0, 0) to (1, 1)Type the answer.
6 Question 6
Line integral of F = <−y, x> along the segment from (1, 0) to (0, 2)Type the answer.
7 Question 7
Line integral of F = <y, x2> along y = x2 from (0, 0) to (1, 1)Type the answer.
8 Question 8
Line integral of F = <x + y, x> along the segment from (0, 0) to (2, 1)Type the answer.
9 Question 9
Work done by F = <xy, x> along y = x2 from (0, 0) to (2, 4)Type the answer.
10 Question 10
Line integral of F = <x − y, x + y> along the segment from (1, 1) to (3, 2)Type the answer.