Find a function value for a function of several variables. Let f(x,y)= x2-5xy-y2. Compute f(3,0) and f(3,-3). f(3,0)=____

Q: Find y as a function of a if y" – 8y" + 15y/ = 8e", y(0) = 28, y(0) = 14, y"(0) = 12. y(x) =…

A: We have to find the solution of differential equation.

Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 5x e 8xy fxx (x,y) =…

A:

Q: A function of the form y ax + bx + c, a + 0, is called a/an function.

A: The given function is, y=ax2+bx+c, a≠0 For the given function, the degree of the function is 2.

Q: Find f.(x.y), f,(x,y), f.(1,3), and f,(-2,4) for the given function. If z = f(x,y) = 3x³y² – x²y³ +…

A: We need to calculate the partial derivatives fx(x,y), fy(x,y),fx(1,3), fy(-2,4). The solution is…

Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy(x,y) for the function f. f(x,y) = 5x e 8xy

A: Given function is f(x, y) = 5xe8xy

Q: Which type of discontinuity does the function exhibit at x = 3? %3D (-x2 + 1, -1 sx<0 2х, f(x) =…

A:

Q: Consider the function f (z) = e²z.

A:

Q: Write the explicit function z = xy2 + x2y - 10 in the implicit form F(x, y, z) = 0.

A: To write the implicit form of the function, we move z to the right side That is, we subtract z from…

Q: Determine the numerical value of F-(2, 3, – 1) given the function F(x, y, z) = 2x²y - xz2 + 3y²z.

A:

Q: Find the linearization L(x) of the function at a. f(x) = x2/3, a = 27 L(x) =

A: The linearization of the function fx at x=a is Lx=fa+f'ax-a

Q: - 8x2 5x2 + 5y2 if (x, y) # (0, 0); Consider the function f(x, y): if (x, y) = (0, 0).

A:

Q: Determine all functions f : R → R that have the property that x + y f (x) – f(y) "() - 1e) 2 x – Y…

A: Since x and y are arbitrary points  and f'exists. hence F is continuous and also differentiable. let…

Q: Find and sketeh the domain of the function f(x, y)= ln| xy - 1 Vy-x² ху —1

A: Given: fx,y=lnxy-1y-x2 to find the domain and sketch the domain of the function.  The domain is the…

Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 5x e 5xy fxx (x,y)=…

A:

Q: 4. Find three functions f, g,h that satisfy: f(g(h(x)))= +2 Vx?

A: Given,             fghx=1x2+2

Q: Determine the global extreme values of the function f(r, y) = 4x³ + 4x²y + 2y², x,y > 0, x + y < 1

A:

Q: evaluate the function at the specified points. f (x, y) = x + yx3, (2, 2), (−1, 4)

A: Given function is fx,y=x+yx3

Q: Let (x0, yo) = (2,6) and (x1, Y1) = (2.5, 6.2). Use the following graph of the function f to find…

A: Given that, The points of passing of function f are following, (x0, y0) = (2, 6)   and     (x1, y1)…

Q: Let R = [-1,1] ×[-1,1]. Come up with any function f (x,y) satisfying | . f (x, y)dA < 0. R

A: The objective here is to find an example of function f(x, y) such that: ∬Rfx,ydA&lt;0Where…

Q: Find the residues of a function 1 f(z) 3 (z − 2)(z + 1)³

A:

Q: Find y as a function of a if r'y" - 5ay + 9y = r, y(1) = 9, y'(1) = 3.

A: Given: x2y ''-5xy'+9y=x9, y(1)=9, y'(1)=3 Consider Homogenous differential equation  x2y''-5xy'+9y=0…

Q: Show that the function f(1) = 5e²' satisfies y" – 3y' + 2y = 0, y(0) = 5, y'(0) = 10. %3D

A: The function ft=5e2t &amp; the differential equation y''-3y'+2y=0 &amp; the conditions y0=5,…

Q: Let R = [-1,1] x[-1,1]. Come up with any functionf(x,y) satisfying )dA < 0.

A:

Q: 1. The function f(x) passes through the point (-1, 4) b. (1, –4) с. (-1, -4) d. (1, 4) а.

A:

Q: A. Find and classify all the local maximum and minimum of the function: F(x,y) = (3x + 4x?) (y² +…

A: AS per the guidelines I am allowed to do the 1st question only. Kindly repost the other question…

Q: Find f(1, 3) and f,(1, 3) for the function f(x, y) = 2x'y² + 2y +4x.

A: Given function is f(x,y)=2x3y2+2y+4x find fx1,3 and fy1,3

Q: Assume that g(x, y) is a function of the form x² + y² g(x, y) = 0 (i) Show that if (x, y) = (0,0),…

A:

Q: Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: f(x) = 2x−5 + 3 ,…

A:

Q: find a function f for x>0 so that f(x,y)=yf(x)+yf(x)

A:

Q: find fk(x,y), fy(x,y), fk(1,3) and fy(-2,4) for the given function. If,  z=f(x,y)= 3x3y2-x2y3+4x+9

A:

Q: Consider the function f(x, y) = e-x²-y² defined on the rectangle -2<xs 2, -1 <y < 1.

A: In this question, we find the absolute maxima and minima by using suggested steps.

Q: Determine whether z is a function of x and y. z + x ln y − 8yz = 0

A:

Q: The absolute Extrema of the function f(x) = -V-x² + 3x – 2 on its domain are Select one: a.-글,0 b.…

A: Given function is The function f(x) is defined for the values of x for which

Q: Find fxx(x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 9x e 9xy fxx (x,y)=…

A:

Q: find the specific function values. ƒ(x, y, z) =(x - y)/(y2 + z2) ƒ(3, -1, 2)

A:

Q: Find the linearization L(x) of the function at a. f(x) = x2/3, a = 27

A: Consider the given function

Q: The position of a mysterious object in space is represented by the given function f(x, y) = 2x² +…

A: differentiate the given function with respect to x and y partially ∂f∂x=4x+2y+0+2 =0 ∂f∂y=0+2x+2y+0…

Q: 3. Sketch the domain of the following functions: a) f(x,y)= 1-x-2y et² + y² - e b) f(x, y, z)= xyz…

A:

Q: Find fx (x,y), fxy (x,y), fyx (x,y), and fyy (x,y) for the following function. 5x 3y f(x,y) = 4y 2x…

A:

Q: Find fg (x,y), fy (x,y). fx(x,y), and fyy (x.y) for the following function. f(x.y) = 4x²y² + 2x³ +…

A: The given function is: f(x,y)=4x2y2+2x5+6y

Q: Find a function f and a positive number b_such that f(t) -dt = 6x-3 1+

A: Here we have to find the function f and a positive number b of the given integral.

Q: Evaluate the function g(x, y) at the point (4, –8). x2 + y2 g(4, –8) =

A:

Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy(x,y) for the function f. f(x,y) = 5x e 5xy fxx (x,y) =…

A: The given function is: f(x,y)=5xe5xy

Q: Find three functions f, g,h that satisfy: f(g(h(x)))=, +2

A: given :

Q: Find a function y(x) such that y'(x) = x² In(x³) – (x² + 1)¯ and y(1) = 2.

A:

Q: Find the linearization L(x) of the function at a. 3 f(x) = Vx, a = 64 %3D L(x) =

A: We can find the linearization as below.

Q: Find the linearization L(X) of the function at a. f(x) = x2/3, a = 64 %3D L(x) =

A:

Q: the linearizatio

A:

Q: Determine the numerical value of F (2, 3, -1) given the function F(x, y, z) = 2x²y = xz² + 3y²z. y

A: The given function is ; F(x,y,z)=2x2y-xz2+3y2z.

Q: Determine the numerical value of F-(2, 3, – 1) given the function F(x, y, z) = 2x²y – xz² + 3y2z.

A: Given: F(x,y,z) = 2x2y-xz2+3y2z

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.