Linear approximation 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.
- 3 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
Linear approximation of √x at x = 4Type the answer.
2 Question 2
Linear approximation of f(x) = x2 at x = 3Type the answer.
3 Question 3
Linear approximation of ex at x = 0Type the answer.
4 Question 4
Linear approximation of ∛x at x = 8Type the answer.
5 Question 5
Estimate √8.9 with a linear approximation- A) 4.48333
- B) 29.8333
- C) 2.98333
- D) 3
6 Question 6
Estimate √15.8 with a linear approximationType the answer.
7 Question 7
Estimate (3.1)2 with a linear approximation- A) 9
- B) 27.6
- C) 9.6
- D) 6
8 Question 8
Linear approximation of f(x) = x3 at x = 1, estimate 1.13Type the answer.
9 Question 9
Estimate e0.1 with a linear approximation- A) 1.1
- B) 0.11
- C) 1
- D) 11
10 Question 10
Estimate sin(0.05) with a linear approximationType the answer.