I need help to better understand how the solution to this problem is acquired. Find the linearization L(x,y) of the function f(x,y) = x? - 4xy + 5 at Po(5,4). Then find an upper bound for the magnitude |E| of the error in the approximation f(x,y)×L(x,y) over the rectangle R: |x- 5| s0.5, ly - 4|s0.5.The linearization of f is L(x,y) = - 6x – 20y + 60.The upper bound for the error of approximation is E(x.y)s 2.(Round to the nearest hundredth as needed.)

Answered: Image /qna-images/answer/285eef8a-35a5-4d89-96e5-80f1727e5591.jpg

Answered: Find the linearization L(x,y) of the…

Math

Calculus

Find the linearization L(x,y) of the function f(x,y) = x2 - 4xy + 5 at Po(5,4).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 77E

See similar textbooks

Related questions

Q: Is f(x) = 10(9)* an exponential growth or decay?

Q: Find the curvature of r(t) = (In t, 2t, t²) at (0, 2, 1).

A: Given r(t) = <ln t, 2t, t2> To find the curvature (k) at (0, 2,1)

Q: The accompanying data are the number of wins and the earned run averages (mean number of earned runs…

A: It is given that the values of wins and corresponding earned run average.

Q: Let T: V- W be a linear transformation. now that T(V), the image space, is a subspace of W and now…

Q: What is the frequency of the equation y : 3x + +5? 1 (1) (3) 3 (2) (4) 5

A: Here. we are solving only 1st question and for the remaining question please post the question…

Q: Your Turn Wesley volunteers at a local hospital because he is interested in a caree in health care.…

Q: I am not sure how to work through this problem to get the correct answer.

A: Given fraction is,

Q: Let D be the solid region bounded above by the xy-plane and bounded below by the lower half of the…

A: This question is about application of cylindrical coordinates in integration

Q: According to a recent survey of 1200 people, 61% feel that the president is doing an acceptable job.…

A: Given that, Sample size n=1200 Sample proportion of people who feel that the president is doing an…

Q: 10x + 18 Suppose that f(x) Evaluate each of the following: f'(-4) = f'(5) =

A: The given function is fx=10x+18x. Obtain the derivative as follows.…

Q: Hello. Can I get help on how to work out this problem?

A: Concept of sampling distribution of sample mean:Let a particular characteristic of a population is…

Q: Graph the parabola. y = (r-5)²-1 Plot five points on the parabola: the vertex, two points to the…

Q: can you help me understand how to come up with the given solution to this problem?

A: Given DataThere are 4 letters A,B,C and DTotal number of possible codes is equal to total number of…

Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. If the limit does not…

A: Answer(a): The given limit is: limx→∞e-x+3cos7x Now, apply the limit property…

Q: If 9(x) = g* (x). ear, where a ER ах find Recall that 9" (x) "nth" derivative of g, NOT g(x) to the…

Q: Find the orthogonal projection of onto the subspace W of R³ spanned by projw(7) = = -15] -8 v = -16…

Q: If f(x) = e + In(7), then f' (x) =

Q: Suppose that V is a vector space with basis B= {bi | i E I} and S is a subspace of V. Let {B1,... ,…

A: Given that V is a vector space with basis B=bi|i∈I and S is a subspace of V. Let B1,B2,B3,…,Bk be a…

Q: с pose the vector -6 is in the nullspace of the matrix d 6 -4 34 1 -5 23 1 -7 rmine c and d giving…

A: Topic:- application of algebra

Q: For what value(s) of x does the graph of f(x) = 8x³ – 84x² + 288x – 48 %3D have a horizontal…

Q: -10 10 SK

Q: I missed my lecture today and i have no idea how to solve this problem.

A: Binomial distribution:It is a discrete probability distribution that has exactly two outcomes for…

Q: Determine coefficients a and b such that p(x) = x² + ax + b satisfies p(1) = -7 and p' (1) = -3. a =…

A: Explanation: p(x)=x2+ax+bp(1)=(1)2+a(1)+b-7=1+a+ba+b=-8…

Q: xy" – 2y' +=y = 7x5 Given that y, = x² and y2 = x are 2 Linearly independent soluti homogenous…

A: Introduction: The formula for the particular solution by variation of the parameter is given by,…

Question

I need help to better understand how the solution to this problem is acquired.

Find the linearization L(x,y) of the function f(x,y) = x? - 4xy + 5 at Po(5,4). Then find an upper bound for the magnitude |E| of the error in the approximation f(x,y)×L(x,y) over the rectangle R: |x- 5| s0.5, ly - 4|s0.5.
The linearization of f is L(x,y) = - 6x – 20y + 60.
The upper bound for the error of approximation is E(x.y)s 2.
(Round to the nearest hundredth as needed.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Flow and Cuts$

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.

Similar questions

the linearization of (fi,f2) = (x²y+ 3xy², 3x³ + 2xy) at (1,0) to approximate the value at (0.9,-0.1).
Evaluate F.dr where F(x, v)=xyi-e*j and C is the line segment from (2, 0) to (4, 0).
Find the linear approximation to the function f(x, y) = sin y --- |T at x, = (1, -2) 2 and use it to approximate f(1.02, -1.97) without a calculator.
EX: Find the F.T. of the triangular pulse: g(t) = AA (+) Sols Apply differentiation property of F-T g(t) = 2A S(t+1)_4A S(t) + 2A S(t-I) The F. I for the both sides gives. (jw)² G (w) = 2A (NE_2 +2²) (e j들 (JW)³&(W) = 4A (2 ² + 2² (e 2 G(W) = -4A whe - 8A w²t -₁) 8A ( cos 뜰 -1) = 82 (1-005) 2 sin wt 4 At sin wt 2 Wt 4 2 3/4 N 2A T ZA 0 0 8(1)-A(+) =9c How did he get the value inside the circle Hes -9C2A ہم تم at ot
Determine the magnitude and direction of the largest change = (x² + y²)z at the point at the point of the function u = M (1, – 2,1).
Find deltaf/deltax and deltaf/deltay
Let f(2) = zi + (z – 7) Part (a) Integrate the function f(2)along the curve C given by z= B+itfrom z=1+ lio z= 8+ 4i Part (b) Integrate the same function along the line from 0 to 9i, then along the line from 9i to 9 + 9i, then finally along the line from 9 + 9i to 0. Note that you are evaluating the integral on a triangular loop. Part (c) Integrate the function f(2)on the circle that goes through 0, 9i, and 9 + 9i. Are the integrals in Part (b) and Part (c) equal?
consider a function f, defined by f(x,y) = -y/√x2+y2 what is the behavior of f along the line y=x when x>o; that is, what is the value of f(x,x) when x>0? If we approach (0,0) by moving along the line y=x in the first quadrant(thus considering f(x,x) as x→0+, what value do we find for the limit?
Find and describe the domain of the function
c) Consider the third-order truncation error (0 (Ax )³) with the step size Ax and also (-Ax ) then, subtract them and finally obtain a finite difference approximation for the first-order derivative of U respect x (U₂(x, t)).
Find the directional derivative of f at the given point in the direction indicated by the angle 0. f(x,y)=√xy, (1,3), 0 = π/6 a. b. C. d. e. 1/1 (3+√³) 4 1/2 (3+√3) 1²/ (√ 3 + √²³) 3 — (3+√3) 4 √3 + (₁-4) 3 4 3
d) Consider the fourth-order truncation error (0(Ax )4) with the step size Ax and also (-Ax ) then, add them and finally obtain a finite difference approximation for the second-order derivative of U respect x (Uxx (x, t)).