Question

Find the domain of the multivariable function

((x^2*y^3)-(y^2+x^2-1)^3))^.5

Answer #1

The domain of the function g(x) is -1<x<6 and
the range is -5<y<10.
Find the domain and range of the following given functions.
a). the domain of y=g(x-4) is?
b.) the range of y=g(x)+2 is?

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).

1- If
?(?)=3?5?+29?5?+1
find the inverse function.
2- State the domain of the function ?(?)=8?−94?
3- State the domain of the function ?(?)=5?−83?+5 in interval
notation
4- State the domain of the function ?(?)=7?−8?−3
in interval notation.
5- State the domain of the function ?(?)=9?+1?2−3?−40
in interval notation
6- State the domain of the function ?(?)=8?+13?2−11?+8
in interval notation.
7- State the domain of the function ?(?)=8?−39?2+12?+13
in interval notation.

Find the domain of the function.
g(x, y) = 8/x-y
a.The domain is the half plane below the line y =
x.
b. The domain is the set of all points in the xy-plane
except those on line y = −x. a.The domain is the
half plane below the line y = x.
c. The domain is the set of all points in the xy-plane
except those on line y = x.
d. The domain is the set of all...

Consider the function F(x, y, z) =x2/2−
y3/3 + z6/6 − 1.
(a) Find the gradient vector ∇F.
(b) Find a scalar equation and a vector parametric form for the
tangent plane to the surface F(x, y, z) = 0 at the point (1, −1,
1).
(c) Let x = s + t, y = st and z = et^2 . Use the multivariable
chain rule to find ∂F/∂s . Write your answer in terms of s and
t.

for the function y=ln(x+1)+5 which of the following statements
is true?
A: The domain is (−1, +∞), and the range is all real numbers
B: The domain is all real numbers, and the range is [5, +∞).
C: The domain is (1, +∞), and the range is [5, +∞).
D: The domain is (1, +∞), and the range is all real numbers.

Consider the function f(x, y) = xy and the domain D = {(x, y) |
x^2 + y^2 ≤ 8}
Find all critical points & Use Lagrange multipliers to find
the absolute extrema of f on the boundary of D,which is the circle
x^2 +y^2 =8.

Find the domain of the function
a) f(x) = 1 / x-3
b) f(x) = 1 / 3x-6
c) f(x) = x+2 / x^2-1
d) f(x) = x^4 / x^2+x-6

1-) Find:
Domain
x-int
y-int
VA
HA
Hole
Sign graph
graph
a-) y= 5x-2/x+2
b-) y= (5/x+3) -4

1) Differentiate the function
y=(4x-4)3(2-x5)3
2) Differentiate the function
y=(x+5/x-1)8
3) Find the indicated derivative
y=((2t-4)8/t-8)

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