Question

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).

Answer #1

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 differential and linear approximation of f(x,y) =
sqrt(x^2+y^3) at the point (1,2)
-use tge differential to estimate f(1.04,1.98)

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)

Let f(x,y,z)=yz/x. Use linearization (or differentials) to
approximate f(1.01,2.04,2.97)

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).

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

1.
The linearization of f(x)=(e^x^2) at x=1 is?
2. The linear approximation of f(x)=sqrt(x+3) is?
3. compute the average value of f(x)=(x^3)+(3x^2) over
interval [1,2] is?

Let f(x) = 3sqrtx.
Find the linear linearization of f(x) at x=216
L(x)=
Use the above result to approximate 3sqrt218. Write
your answer as a fraction.
3sqrt218=

Find the linearization of the function f (x y) =
arctan (y / x) at point (1,1) and the tangent plane at that
point.

1. Find the differential of f(x,y)=\sqrt{x + e^{4y}}f(x,y)=
x+e^4y and use it to find the approximate change in the function
f(x,y)f(x,y) as (x,y)(x,y) changes from (3,0)(3,0) to
(2.6,0.1)(2.6,0.1).

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