For a given triangle, side y is measured as 10 cm, the horizontal side x as 20 cm and the included angle as 30o. There is an error of as much as 0.2 cm on each of the sides and 1o  in the included angle.  Use total differentials to estimate the error in the computed area of the triangle.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
icon
Related questions
Question

For a given triangle, side y is measured as 10 cm, the horizontal side x as 20 cm and the included angle as 30o. There is an error of as much as 0.2 cm on each of the sides and 1o  in the included angle.  Use total differentials to estimate the error in the computed area of the triangle.

Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Numerical Differentiation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell