Linear approximation Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-1/linear-approximation/quiz/

1. 1

   Linear approximation of √x at x = 4

   Answer: ____________________

2. 2

   Linear approximation of f(x) = x² at x = 3

   Answer: ____________________

3. 3

   Linear approximation of e^x at x = 0

   Answer: ____________________

4. 4

   Linear approximation of ∛x at x = 8

   Answer: ____________________

5. 5

   Estimate √8.9 with a linear approximation
   1. A) 4.48333
   2. B) 29.8333
   3. C) 2.98333
   4. D) 3

6. 6

   Estimate √15.8 with a linear approximation

   Answer: ____________________

7. 7

   Estimate (3.1)² with a linear approximation
   1. A) 9
   2. B) 27.6
   3. C) 9.6
   4. D) 6

8. 8

   Linear approximation of f(x) = x³ at x = 1, estimate 1.1³

   Answer: ____________________

9. 9

   Estimate e^0.1 with a linear approximation
   1. A) 1.1
   2. B) 0.11
   3. C) 1
   4. D) 11

10. 10

    Estimate sin(0.05) with a linear approximation

    Answer: ____________________