Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

How to estimate partial derivatives using finite difference formula, step bu step? With this background, here's your assignment: You must show sufficient detail to support

image text in transcribed

How to estimate partial derivatives using finite difference formula, step bu step?

image text in transcribed
With this background, here's your assignment: "You must show sufficient detail to support your work to earn credit for your calculations. This can be hand-written work, typed calculations, or excel formulas. To avoid round-off error, retain at least six decimal places in all of your calculations. Complete all trigonometric calculations in radians. . Assume the function f is defined as f(x, y) = 3 tan x cos y . Use differentiation rules to find the exact partial derivatives " and , and evaluate those exact partial derivatives at (1.56, -2.1). . Use the finite difference formulas to estimate and a "at (1.56, -2.1) for three different values of the mesh size . h = 0.01 . h = 0.001 . h = 0.0001 . Use your calculated values to fill in this table: Estimated partial derivatives using finite difference formulas: finite difference finite difference exact exact - approx. to approx. to 0.01 0.001 9.0901 Answer the following questions: . For which partial derivative( ( or -)is the finite difference approximation consistently more accurate? Why do you think the finite difference approximation for the other partial derivative is consistently less accurate? (Hint: What happens to the tan x function near x = 1.56?), Under what real world conditions might we see such pour approximations? Upload your results using the submission instructions found below

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Geometry From Euclid To Knots

Authors: Saul Stahl

1st Edition

0486134989, 9780486134987

More Books

Students also viewed these Mathematics questions

Question

What is the basis for the tort of defamation?

Answered: 1 week ago