Round of to 4 decimal places.

in Other Math Topics 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

NEWTON’S METHOD

Let f(t)=70e⁻¹˙⁵+25e⁻⁰˙⁰⁷⁵-5,

f'(t)=-105e⁻¹˙⁵-1.875e⁻⁰˙⁰⁷⁵.

Then, according to Newton’s Method, t=t-f(t)/f'(t) for successive iterations of t.

t₀=21

t₁=21.451356

t₂=21.459170

t₃=21.459172

So the solution to 4 decimal places is t=21.4592.

by Top Rated User (825k points)

Related questions

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!
86,155 questions
92,154 answers
2,246 comments
23,902 users