Find all local extrema for the function f(x.y)= 4y-128y +3x -11.

Q: Find all values of x such that dy/ldx = 0 where y is the function stated below. x2 y = -3x + 4)

A:

Q: Compare the values of delta y and dy for the function f(x)= x^3 - 3 at x=3and delta x= 0.2

A:

Q: Find the extrema of f(x,y) = xy + 14 subject to  x2 + y2 = 18.

A: To Determine: Find the extrema of f(x,y) = xy + 14 subject to                         x2 + y2 = 18.…

Q: Find the extrema for the function: = f(x,y) = x²y2 - x² – 3y3 %3D

A:

Q: of of and dy 6. For the function f(x.y) = sin ° (6x - 5y), find of df dy II

A: In partial derivative when take the derivative with respect to one variable consider other variables…

Q: Find the local linear approximation to f(x) = Vx at x = 1 and use it to approximate both 1.1 and…

A: To know which one is better we have to compare with calculator values of sqrt(1.1)  and sqrt(0.1)

Q: Find f, fy. f- f(x.y.z) = 3x - 4y 2. 2 +z?

A:

Q: of of For the function f(x,y)% 9x2- 3y°-4, find and dx dy of II

A: While calculating the partial differentiation of a function with respect to X we consider the other…

Q: Find a linear approximation to the function f(x,y) at the indicated point. 2x y f(x,y) = at (1,2) 1…

A:

Q: Dicuss the contiunity of the function f (x,y) = ln  (x+y-1)

A: We know: 1) Polynomials are continuous everywhere. That is, at every point in real number 2) Sum of…

Q: find the absolute extrema of thefunction on the closed interval y=x \ln (x+3),[0,3]

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Find the linear approximation of the function f (x, y) y- 1 at (0,0) x + 1

A: We are given fx, y=y-1x+1. Here, we need to find linear approximation at (0, 0). Now, fx=∂∂…

Q: f(x, y) = x² – y²

A: f(x,y) = x2 - y2 Let us firstly find the first order partial derivatives of the given function.…

Q: Find the domain and range of the function f(x, y) = exy

A: Given information: The function fx,y=exy

Q: Find the linearization of the function f(x, y) = /36 – læ² – 2y² at the point (3, -1). L(x, y) = Use…

A:

Q: Find linearization of the given function: f(x) = 1/x at x=0.5, dx = 0.1 %3D

A:

Q: Find the extrema of f(x,y)=(x+1)(y+1)(x+y+1)

A:

Q: Find f(x) if y = f(x) satisfies %3D dy 42ya3 %3D dæ and the y-intercept of the curve y = f(x) is 4.…

A: Given that, y = f(x) and   dydx=42yx13 and y-intercept of the curve y = f(x) is 4. we have to find…

Q: Consider the function f(x) = 3z10 + 3z° – 3z² – 4. Enter the general antiderivative of f(z)

A: Given function is : f(x)=3x10+3x5-3x2-4 We have to find antiderivative(integral) of the given…

Q: Find the antiderivative of f(x). f(x) = 3e6x+ sec2(x) +x3

A:

Q: f(x, y) = 4x² – y²

A:

Q: Find the ditterential of the function y = (x + 1(5x - 3). Sx-x-5 dy = (Sx - 3) *?+ 6x-5 (5x- 3)? dy…

A: Use the quotient rule of differentiation ddxuv=vdudx-udvdxv2. Power rule of differentiation…

Q: find the local extrema for the following function  f(x,y)= x^2 +y^2+xy-7x+4y+9

A:

Q: Find the extrema of the function f (x, y) =x² + y² + x²y + 4 in the domain D={(X, Y), 1X1 <1, iyi <…

A: See the attachment

Q: Find the global extrema of f (x, y) = 2xy − x − y on the domain {y ≤ 4, y ≥ x^2}.

A:

Q: Find all local extrema for 4 f(x, y): * - 4xy + y.

A:

Q: T(x, y) = x² + 2y² – 8x + 4y.

A: Given function  Tx,y=x2+2y2-8x+4y Differentiate the function with respect to x,y Tx=2x-8Ty=4y+4…

Q: .Find extrema for a function y=f(x)%3D2X² - 8x on an interval [0, 6].

A: An extremum (or extreme value) of a function is a point at which a maximum or minimum value of the…

Q: Integrate f(x, y) = y(x² + y³) 3 over the domain x² + y° 0.

A: Given function is fx,y=yx2+y23 and domain is x2+y2≤4 with y≥0 We have to integrate fx,y=yx2+y23 over…

Q: ind the local extrema of the function f(x,y)=e* (x² – 2y²) x-y

A:

Q: Fínd a differentiable curve y(x) that minimizes J = +

A: The objective is to find the differentiable curve yx that minimizes J=∫01y'x2+c2yx2dx if y0=0 and…

Q: Find f, (x,y) and fy (x.y), and explain why f(x,y) has no local extrema. f(x.y) = 8x + 3y + 4. fy…

A: It is partial derivative

Q: Find whether the function F-(* - y')i + (v² – 3x)j + (=* - xy)k is irrotational.

A: A vector field F is called irrotational if curl (F) = 0.

Q: What is the domain of the function w = ƒ(x, y, z) = 1/xyz?

A: What is the domain of the function w = ƒ(x, y, z) = 1/xyz?

Q: What is the I.F of (x^2+y^2+1)dx+x(x-2y)dy=0

A:

Q: Find the critical points for the function f(x, y) = x² + y³ + 2xy – 2x – 7y. (You do not need to…

A:

Q: Find the linearization of the function f (x) = x° at x =1. L (x) Using this linearlization, f…

A: To find the linearization of the following function

Q: f(x, y) = e* (5– 2x+y)

A: Introduction: Like a single variable function, a multivariable function also does have extremum. In…

Q: Find the linear approximation to the function. x2 f(x + Δx) ≈      Evaluate it at the given…

A:

Q: 1. Find the extrema of the function f(r, y) = y(x² + (ln y)²), y > 0.

A: fx,y =y x2+lny2 ,y&gt;0 first we need to find critical point of given function  so first find first…

Q: Find local extrema of function z(x, y) = 2(x - 9) - 6(y+8)² +5xy -9x+ 8y.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Examine the function f (x, y) = x3 − 6xy + y3 for relative extrema and saddle points.

A:

Q: find the length of the function over the given interval x=2y, y=-1, to y=1

A:

Q: Let f (x) = 2x* – 3x3 + 5x + 1. Find the value of at x = 1. %3D df-1 - dx

A:

Q: 11) Find a function y-f (x) that satisfies both conditions: d - 6x -4x+5,f(-1) =3 dx %3D dy 2 3 ==+…

A:

Q: Find the linear approximation of f(x) = Vx at xo = 27.

A:

Q: f(xiy)=4+x+y? Ixy

A: In the given question we have to find the local extrema and saddle point of the function f(x,y) s.t…

Q: Find the absolute maximum and minimum values of f(x, y) = x^2 +xy + y^2 - 3x + 3y on the triangular…

A:

Q: Find the local extremum of the function • f(x,y) = xy² – 6x² – 3y²

A: Find the local extremum of the function f(x,y) = xy2 - 6x2 - 3y2