Parametric curves 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.
- 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
x = t2, y = t3, find dy/dxType the answer.
2 Question 2
x = t2 + 1, y = 2t − 3, find the slope at t = 2Type the answer.
3 Question 3
x = 3t, y = t2 − 4, find the slope at t = 1- A) slope = −23
- B) slope = 32
- C) slope = 3
- D) slope = 23
4 Question 4
x = t + 1, y = t3, find dy/dxType the answer.
5 Question 5
x = t2 − 1, y = t3, find the slope at t = −1- A) slope = −23
- B) slope = 1.5
- C) slope = −32
6 Question 6
x = t2, y = t3 − 3t, find the horizontal tangentsType the answer.
7 Question 7
x = t2 + t, y = t2 − t, find the slope at t = 1- A) slope = 3
- B) slope = −13
- C) slope = 13
8 Question 8
x = t2, y = t3 − 12t, find the horizontal tangentsType the answer.
9 Question 9
x = t3 + 1, y = t2 + 3, find the tangent line at t = −1Type the answer.
10 Question 10
x = t2 − 2t, y = t3, find the slope at t = 2Type the answer.