Use Taylor's formula to find the requested approximation of f(x, y) near the origin.
-Quadratic approximation to f(x, y) = ln(1 + 10x + y)
A) $10 x + y - 50 x ^ { 2 } - 5 x y - \frac { 1 } { 2 } y ^ { 2 }$
B) $1 + 10 x + y - 50 x ^ { 2 } - 5 x y - \frac { 1 } { 2 } y ^ { 2 }$
C) $1 + 10 x + y - 50 x ^ { 2 } - 10 x y - \frac { 1 } { 2 } y ^ { 2 }$
D) $10 x + y - 50 x ^ { 2 } - 10 x y - \frac { 1 } { 2 } y ^ { 2 }$

Question

Use Taylor's formula to find the requested approximation of f(x, y) near the origin.
-Quadratic approximation to f(x, y) = ln(1 + 10x + y) 
A) $10 x + y - 50 x ^ { 2 } - 5 x y - \frac { 1 } { 2 } y ^ { 2 }$
B) $1 + 10 x + y - 50 x ^ { 2 } - 5 x y - \frac { 1 } { 2 } y ^ { 2 }$
C) $1 + 10 x + y - 50 x ^ { 2 } - 10 x y - \frac { 1 } { 2 } y ^ { 2 }$
D) $10 x + y - 50 x ^ { 2 } - 10 x y - \frac { 1 } { 2 } y ^ { 2 }$

Quizplus · Accepted Answer

The Answer of Use Taylor's formula to find the requested approximation of f(x, y) near the origin.
-Quadratic approximation to f(x, y) = ln(1 + 10x + y) 
A) $10 x + y - 50 x ^ { 2 } - 5 x y - \frac { 1 } { 2 } y ^ { 2 }$
B) $1 + 10 x + y - 50 x ^ { 2 } - 5 x y - \frac { 1 } { 2 } y ^ { 2 }$
C) $1 + 10 x + y - 50 x ^ { 2 } - 10 x y - \frac { 1 } { 2 } y ^ { 2 }$
D) $10 x + y - 50 x ^ { 2 } - 10 x y - \frac { 1 } { 2 } y ^ { 2 }$

Use Taylor's Formula to Find the Requested Approximation of F(x 10x+y−50x2−5xy−12y210 x + y - 50 x ^ { 2 } - 5 x y - \frac { 1 } { 2 } y ^ { 2 }10x+y−50x2−5xy−21​y2

Use Taylor's Formula to Find the Requested Approximation of F(x $10 x + y - 50 x ^ { 2 } - 5 x y - \frac { 1 } { 2 } y ^ { 2 }$