Suppose that f_x(2, 1)= 2.2, f_x(2.5, 1)= 1, f_x(2, 1.5)= 1.8, f_y(2, 1)= -0.8, f_y(2.5, 1)= -1.2 and f_y(2, 1.5)= -1.4.
If $f ( 2,1 ) = 4$ estimate the value of f(1.85, 0.8)using a quadratic Taylor polynomial about (2,1).
Use difference quotients to approximate all second derivatives.

Question

Suppose that f_x(2, 1)= 2.2, f_x(2.5, 1)= 1, f_x(2, 1.5)= 1.8, f_y(2, 1)= -0.8, f_y(2.5, 1)= -1.2 and f_y(2, 1.5)= -1.4.
If

f ( 2,1 ) = 4

estimate the value of f(1.85, 0.8)using a quadratic Taylor polynomial about (2,1).
Use difference quotients to approximate all second derivatives.

Quizplus · Accepted Answer

The Answer of Suppose that f_x(2, 1)= 2.2, f_x(2.5, 1)= 1, f_x(2, 1.5)= 1.8, f_y(2, 1)= -0.8, f_y(2.5, 1)= -1.2 and f_y(2, 1.5)= -1.4. If $f ( 2,1 ) = 4$ estimate the value of f(1.85, 0.8)using a quadratic Taylor polynomial about (2,1). Use difference quotients to approximate all second derivatives.

Suppose That Fx(2, 1)= 2 f(2,1)=4f ( 2,1 ) = 4f(2,1)=4

Suppose That F_x(2, 1)= 2 $f ( 2,1 ) = 4$