Initial value problems Quiz
10 questions · easy to harder · Calculus 1 · 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
f′(x) = 2x, f(0) = 4, find f(x)Type the answer.
2 Question 2
f′(x) = 3x2, f(2) = 10, find f(x)Type the answer.
3 Question 3
dy/dx = 2x + 1, y = 5 when x = 0, find yType the answer.
4 Question 4
dy/dx = 4x + 3, y = 2 when x = 1, find yType the answer.
5 Question 5
f′(x) = 3x2 + 2, f(1) = 4, find f(x)Type the answer.
6 Question 6
f′(x) = x2, f(3) = 10, find f(x)Type the answer.
7 Question 7
dy/dx = 10x4, y = 3 when x = 1, find yType the answer.
8 Question 8
f′(x) = 6x2 − 4x, f(1) = 3, find f(x)Type the answer.
9 Question 9
f′(x) = 12x2 − 2x, f(1) = 1, find f(x)Type the answer.
10 Question 10
dy/dx = 6x2 − 6x + 5, y = 1 when x = 0, find yType the answer.