Parametric curves Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-2/parametric-curves/quiz/

1. 1

   x = t², y = t³, find dy/dx

   Answer: ____________________

2. 2

   x = t² + 1, y = 2t − 3, find the slope at t = 2

   Answer: ____________________

3. 3

   x = 3t, y = t² − 4, find the slope at t = 1
   1. A) slope = −23
   2. B) slope = 32
   3. C) slope = 3
   4. D) slope = 23

4. 4

   x = t + 1, y = t³, find dy/dx

   Answer: ____________________

5. 5

   x = t² − 1, y = t³, find the slope at t = −1
   1. A) slope = −23
   2. B) slope = 1.5
   3. C) slope = −32

6. 6

   x = t², y = t³ − 3t, find the horizontal tangents

   Answer: ____________________

7. 7

   x = t² + t, y = t² − t, find the slope at t = 1
   1. A) slope = 3
   2. B) slope = −13
   3. C) slope = 13

8. 8

   x = t², y = t³ − 12t, find the horizontal tangents

   Answer: ____________________

9. 9

   x = t³ + 1, y = t² + 3, find the tangent line at t = −1

   Answer: ____________________

10. 10

    x = t² − 2t, y = t³, find the slope at t = 2

    Answer: ____________________