Asked by Ralph
Assuming that the equation
e^z − y + xz = 0
defines z as a function of x and y with z(1, 1) = 0 and
that this function has a Taylor series about (1, 1), find
the terms up to and including order 2 in this Taylor
series and use this to find an approximate value for z
when x = 1.01 and y = 0.9.
Any help is much appreciated. Thanks
e^z − y + xz = 0
defines z as a function of x and y with z(1, 1) = 0 and
that this function has a Taylor series about (1, 1), find
the terms up to and including order 2 in this Taylor
series and use this to find an approximate value for z
when x = 1.01 and y = 0.9.
Any help is much appreciated. Thanks
Answers
Answered by
oobleck
These two articles should point the way for you
math.libretexts.org/Bookshelves/Calculus/Supplemental_Modules_(Calculus)/Multivariable_Calculus/3%3A_Topics_in_Partial_Derivatives/Taylor__Polynomials_of_Functions_of_Two_Variables
www.math.cmu.edu/~cnewstea/teaching/old/teaching/21-256/implicit-partial-diff.pdf
math.libretexts.org/Bookshelves/Calculus/Supplemental_Modules_(Calculus)/Multivariable_Calculus/3%3A_Topics_in_Partial_Derivatives/Taylor__Polynomials_of_Functions_of_Two_Variables
www.math.cmu.edu/~cnewstea/teaching/old/teaching/21-256/implicit-partial-diff.pdf
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.