Use Taylors formula to find a quadratic approximation of ex sin y at the origin. Estimate the
Question:
Use Taylor’s formula to find a quadratic approximation of ex sin y at the origin. Estimate the error in the approximation if |x| ≤ 0.1 and |y| ≤ 0.1.
Transcribed Image Text:
Taylor's Formula for f(x, y) at the Origin ƒ(x, y) = f(0,0) + xfx + yƒy + 1⁄/17 (x²ƒxx + 2xyƒxy + y²ƒ¸) 2! + 370x³fxxx ³fxxx + 3x²yƒxy + 3xy²fxy + y³fywy) + 1 1! (29+1 (n + 1)! an+1 f +1 an+1f + (n + 1) "y arniy n! ( xn +n-ly. an f ax an+1 +yn+1. (+117) | dy+1 (cx, cy) an f ax-lay an dy M.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (4 reviews)
To find a quadratic approximation of ex sin y at the origin using Taylors formula well expand the fu...View the full answer
Answered By
Mary Boke
I have teached the student upto class 12th as well as my fellow mates.I have a good command in engineering,maths and science.I scored 90+ marks in 10th and 12th in maths.
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Use Taylors formula to find a quadratic approximation of (x, y) = cos x cos y at the origin. Estimate the error in the approximation if |x| 0.1 and |y| 0.1.
-
The data for Exercise 5 were generated using the following functions. Use the error formula to find a bound for the error, and compare the bound to the actual error for the cases n = 1 and n = 2. a....
-
The endpoints of the interval over which distinct vision is possible are called the near point and far point of the eye (see figure). With increasing age, these points normally change. The table...
-
"Your lumber company has bought a machine that automatically cuts lumber. the seller of the machine claims that the machine cuts lumber to a mean length of 7 feet (84 inches) with a standard...
-
Match each of the following SOX requirements to the corresponding objective by entering the appropriate letter in the space provided. 1. Establish a tip line for employees to report questionable...
-
9. Spherical pressure vessels with a radius of 1.0 m and thickness of 25 mm were built to store 5.0 wt% brine at 70 C at 5.0 MPa for chemical plants. The pressure vessels were improperly designed...
-
Sterling Trust has the following stockholders' equity: Answer these questions about Sterling's dividends: 1. Is Sterling's preferred stock cumulative or noncumulative? How can you tell? 2. Sterling...
-
Red Corporation wants to set up a manufacturing facility in a mid western state. After considerable negotiations with a small town in Ohio, Red accepts the following offer: land (fair market value of...
-
1) We all know that 16 = 4, find the first four nonzero terms of x + 16 Use your terms to estimate 15 and 18 (which is better and why?) n f(n) (x) f(n) (0) f(n) (0) / n!
-
Assume you plan to make boxes just by yourself now. We will not make lids for the boxes this time. Then the stages to make a box should be (in this order) A: Fold horizontally and vertically, unfold,...
-
Find the extreme values of (x, y) = x 2 + y 2 - 3x - xy on the disk x 2 + y 2 9.
-
Find the directions in which the functions increase and decrease most rapidly at P 0 . Then find the derivatives of the functions in these directions. (x, y) = x 2 + xy + y 2 , P 0 (-1, 1)
-
Solve the given equations algebraically. 4R 4 + 15R 2 = 4
-
HOW DO I PRESENT THE MARKETING PLAN FOR THE AQUARIUS BRAND?
-
The following PLC connection diagram explains the drilling operation with delay. Modify the circuit, so that you need to only press ONCE both PB1 and PB2 in the beginning to start the program. The...
-
An investor who is liable to 20% income tax is considering buying 1,000 shares of Goldmines PLC that pays annual dividends. The current dividend is 15 per share and has just been paid. Dividends are...
-
Calculate the resistance of 1 0 0 ft of 1 2 - gauge ( 0 . 0 8 0 - in - diameter ) DHP copper wire with a resistivity of 1 . 7 x 1 0 - 8 ohms - cm?
-
Lehman, a listed company that manufactures wooden, has been an audit client of your firm for several years. As an audit senior, you are involved in the Lehman audit for the first time. The company...
-
Discuss the relevance of peer rejection to ongoing antisocial behavior
-
Explain the term global capital markets. This chapter primarily discusses global equity markets. What other types of financial instruments are traded in these markets? How important are global...
-
In Exercises 310, evaluate the integral. *n/2 sin x cos y dx
-
In Exercises 36, find the mass of the lamina described by the inequalities, given that its density is (x, y) = xy. 0 x 2, 0 y 4 - x 2
-
In Exercises 310, evaluate the integral. 1-y |-1-3 (x + y) dx
-
I am working on an assignment in class that involves creating and managing databases using sql server. I have been researching methods that can be used to create and manage tables such as GUI and...
-
After reading the Pope's statement rescinding the Doctrine of Discovery, do you feel that Johnson v. McIntosh should be be rescinded as well? Or do you think that it is not feasible to fully return...
-
Employee UserID OfficeLocation 2 UK 3 UK 4 UK 5 Australia 6 US 7 UK 8 US 10 Australia 12 UK 14 US 16 UK 17 US 18 US 20 Australia 22 Australia 25 UK 27 Australia 28 Australia 29 UK 30 Australia 32 US...
Study smarter with the SolutionInn App