Question

Find the linearization of the function f(x,y) = √xy at the point P(1,1) to approximate f(4/5,...

Find the linearization of the function f(x,y) = √xy at the point P(1,1) to approximate f(4/5, 11/10).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the linearization of the function f (x y) = arctan (y / x) at point...
Find the linearization of the function f (x y) = arctan (y / x) at point (1,1) and the tangent plane at that point.
Consider the function F(x,y)=e^((-x^2/4)-(y^2/4)) and the point P(−1,1). a. Find the unit vectors that give the...
Consider the function F(x,y)=e^((-x^2/4)-(y^2/4)) and the point P(−1,1). a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P. b. Find a vector that points in a direction of no change in the function at P.
F(x,y) = (x2+y3+xy, x3-y2) a) Find the linearization of F at the point (-1,-1) b) Explain...
F(x,y) = (x2+y3+xy, x3-y2) a) Find the linearization of F at the point (-1,-1) b) Explain that F has an inverse function G defined in an area of (1, −2) such that that G (1, −2) = (−1, −1), and write down the linearization to G in (1, −2)
Consider the function f(x,y)= (x+2*y)*e^(x-2y) for all real values (x,y). Determine the linearization to f at...
Consider the function f(x,y)= (x+2*y)*e^(x-2y) for all real values (x,y). Determine the linearization to f at the point (2,1) Use the linearization to approximate f(2.1,1.1)
Find the linearization of the function f(x,y)=40−4x2−2y2−−−−−−−−−−−−√f(x,y)=40−4x2−2y2 at the point (1, 4). L(x,y)=L(x,y)= Use the linear...
Find the linearization of the function f(x,y)=40−4x2−2y2−−−−−−−−−−−−√f(x,y)=40−4x2−2y2 at the point (1, 4). L(x,y)=L(x,y)= Use the linear approximation to estimate the value of f(0.9,4.1)f(0.9,4.1) =
For f(x,y)=ln(x^2−y+3). -> Find the domain and the range of the function z=f(x,y). -> Sketch the...
For f(x,y)=ln(x^2−y+3). -> Find the domain and the range of the function z=f(x,y). -> Sketch the domain, then separately sketch three distinct level curves. -> Find the linearization of f(x,y) at the point (x,y)=(4,18). -> Use this linearization to determine the approximate value of the function at the point (3.7,17.7).
Let f(x,y) = sqrt(22−2x^2−y^2). Find the linearization of the function f at (1,2) and use it...
Let f(x,y) = sqrt(22−2x^2−y^2). Find the linearization of the function f at (1,2) and use it to approximate f(1.1,2.1).
Find a Linearization L(x,y) of the function at each point. f(x,y)=x^2+y^2+1 a) (4,2) b) (3,2)
Find a Linearization L(x,y) of the function at each point. f(x,y)=x^2+y^2+1 a) (4,2) b) (3,2)
Find the linearization of the function f(x,y)=√(22−1x2−3y2 )at the point (-1, 2). L(x,y)=_______ Use the linear...
Find the linearization of the function f(x,y)=√(22−1x2−3y2 )at the point (-1, 2). L(x,y)=_______ Use the linear approximation to estimate the value of f(−1.1,2.1)=_________
Find the Critical point(s) of the function f(x, y) = x^2 + y^2 + xy -...
Find the Critical point(s) of the function f(x, y) = x^2 + y^2 + xy - 3x - 5. Then determine whether each critical point is a local maximum, local minimum, or saddle point. Then find the value of the function at the extreme(s).