what should be put in those blanks?

in Calculus Answers by Level 2 User (1.4k points)
reopened by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Best answer

(1) f(a)=12-a²; when f(2)=12-4=8. df/dx=-2x=-4 when x=a=2. The point is (2,8) and the gradient at that point is -4, so the linear approximation at (2,8) is L(x)=8-4(x-2)=8-4x+8=16-4x.

Using this approximation we can use it to find f(2.1), which has an actual value of 12-2.1²=7.59.

L(2.1)=16-8.4=7.6.

Error is (7.6-7.59)/7.59=0.01/7.59=0.00132 approx. or 0.13%.

by Top Rated User (804k points)
selected by

Related questions

1 answer
asked Oct 5 in Calculus Answers by anonymous | 46 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
85,850 questions
91,605 answers
2,225 comments
16,023 users