Please help ASAP thanks sir.

in Calculus Answers 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)=f(0)=e⁰=1. So the slope of the linear approximation is 1 at x=a=0.

L(x)=x+b is the general form of the equation, where we need to find the constant b.

The line must pass through the point (0,1) which is (x, f(x))=(0,1).

Plug the coords in: 1=0+b so b=1 and L(x)=x+1.

2. So, when x=0.05, L(0.05)=1.05.

3. f(0.05)=e⁰⋅⁰⁵=1.05127 approx.

The error is 100(1.05-e⁰⋅⁰⁵)/e⁰⋅⁰⁵=-0.12% which means the approximation was 0.12% too low.

by Top Rated User (645k points)

Related questions

1 answer
2 answers
asked Mar 11, 2012 in Calculus Answers by anonymous | 727 views
1 answer
asked May 12, 2011 in Algebra 1 Answers by Registered user 5 Level 1 User (120 points) | 170 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!
82,917 questions
87,575 answers
1,965 comments
4,217 users