Question
Find the third Taylor polynomial of the function
Answer :
Word Count : 309
We are to find the third Taylor polynomial of the function $$ f(x,y) = 1 + 5xy + 3^2y $$ at the point $(1,2)$. --- ### Step 1: Simplify the function The given function is $$ f(x,y) = 1 + 5xy + 3^2y $$ $$ f(x,y) = 1 + 5xy + 9y $$ --- ### Step 2: Recall the 2-variable Taylor polynomial formula The third-degree Taylor polynomial of $f(x,y)$ about $(a,b)$ is: $$ T_3(x,y) = f(a,b) + __________ ______ _______ _______ ____.
_________ ____ ___ ___ ______ _______.
____ _______ _________ __________ ____ _______.
______ _____ ______ __________ ___.
__________ __________ ____ _____ ___ _________ _____ _____ ___ _____.
______ ________ ______ _______ ________ _________ ______ __________ _____ ________ _____.
________ _____ ____ ____ ____ _____ _____ _________ __________ ___ _____.
_________ ___ __________ ____ ___ ___ ____ ____ _____ ______.
__________ ____ ________ ________ ______.
__________ _____ ______ _________ _________ __________ _____.
___ ________ _________ ____ _______.
_____ __________ _________ _________ ____ _________.
_____ __________ ______ _____ _________ _______ ______.
___ _______ _____ ___ __________ _______ ___ _____ ______.
_________ ______ __________ ____ _________ _____ ____ _____ ___.
____ ________ _____ _______ __________ _____ ___ _________ _________.
_______ __________ __________ _______ ____ ____ ___ ___ ____ _________.
____ __________ ______ __________ _______ _________.
____ ___ ________ _______ ________ _____ ____ ____.
__________ _______ ___ _______ _________ ________ __________ ______ ______ ___ ______ ______.
_________ ___ ___ ________ ________ _____ _____ ___ ______ ___ _______.
________ ______ ________ _______ _______.
______ __________ ___ ______ __________ _______ __________ ________ _______.
_______ ______ __________ ___ _____.
________ _________ ________ __________ ____ ______ __________ _____.
_____ ___ _________ _______ ___ _____.
___ ______ ________ _______ ___ ___ _____.
__________ __________ ____ _________ ___ _____ ____ ____ ________ ________ ____ _______.
________ _______ ______ ________ ________ _______ ______ ______ __________.
___ ______ ___.
Get Full Answer on WhatsApp
We are to find the third Taylor polynomial of the function $$ f(x,y) = 1 + 5xy + 3^2y $$ at the point $(1,2)$. --- ### Step 1: Simplify the function The given function is $$ f(x,y) = 1 + 5xy + 3^2y $$ $$ f(x,y) = 1 + 5xy + 9y $$ --- ### Step 2: Recall the 2-variable Taylor polynomial formula The third-degree Taylor polynomial of $f(x,y)$ about $(a,b)$ is: $$ T_3(x,y) = f(a,b) + __________ ______ _______ _______ ____.
_________ ____ ___ ___ ______ _______.
____ _______ _________ __________ ____ _______.
______ _____ ______ __________ ___.
__________ __________ ____ _____ ___ _________ _____ _____ ___ _____.
______ ________ ______ _______ ________ _________ ______ __________ _____ ________ _____.
________ _____ ____ ____ ____ _____ _____ _________ __________ ___ _____.
_________ ___ __________ ____ ___ ___ ____ ____ _____ ______.
__________ ____ ________ ________ ______.
__________ _____ ______ _________ _________ __________ _____.
___ ________ _________ ____ _______.
_____ __________ _________ _________ ____ _________.
_____ __________ ______ _____ _________ _______ ______.
___ _______ _____ ___ __________ _______ ___ _____ ______.
_________ ______ __________ ____ _________ _____ ____ _____ ___.
____ ________ _____ _______ __________ _____ ___ _________ _________.
_______ __________ __________ _______ ____ ____ ___ ___ ____ _________.
____ __________ ______ __________ _______ _________.
____ ___ ________ _______ ________ _____ ____ ____.
__________ _______ ___ _______ _________ ________ __________ ______ ______ ___ ______ ______.
_________ ___ ___ ________ ________ _____ _____ ___ ______ ___ _______.
________ ______ ________ _______ _______.
______ __________ ___ ______ __________ _______ __________ ________ _______.
_______ ______ __________ ___ _____.
________ _________ ________ __________ ____ ______ __________ _____.
_____ ___ _________ _______ ___ _____.
___ ______ ________ _______ ___ ___ _____.
__________ __________ ____ _________ ___ _____ ____ ____ ________ ________ ____ _______.
________ _______ ______ ________ ________ _______ ______ ______ __________.
___ ______ ___.
Get Full Answer on WhatsApp
Related Questions
Use double integration of find the volume of the ellipsoid
Using only the definitions, find if they exists, for the function
Suppose S and C are subsets of R³. S is the unit open sphere with centre at the origin and C is the open cube =
Which of the following is true. Justify your answer.
(i) S ⊂ C
(ii) C ⊂ S
Identify the level curves of the following functions:
(i)
(ii)
(iii) x-y
(iv) y/x
Find the extreme values of the function
Locate and classify the stationary points of the following:
(i)
(ii)
State Green’s theorem, and apply it to evaluate
Where C is the ellipse
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★