y = v1- x+ x2 ||

Q: f (x, y) = 3x²: f (x, y) = x² + 3y²: f (x, y) = y – 2x?: f (x, y) = 5x² – 5y²:

A: The function f(x,y)=3x2  Level curves are made by fixing values of fx,y=k.…

Q: How is linear approximation used to approximate the value of afunction ƒ near a point at which ƒ and…

A:

Q: The productivity of a country is given by ​f(x,y)=14.41x0.427y0.573​, where x is the amount of…

A:

Q: - f(x, y) = Vx5 + y5. Find f-(0, 0).

A: Given that fx,y=x5+y55.It is required to find fx0,0.

Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7. fxy(x,y)=

A: Concept: Partial derivatives: In differential geometry and vector calculus, the partial derivative…

Q: 1 If y = V1-x then y' = 2/1-x

A:

Q: f(x) = 2+ 3x² – 8x3 -

A:

Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.

Q: 7) Suppose y varies directly with x. If y=2 when x = – - what is y when 2 X--0.3?

A: Given the data :

Q: 4. Calculate(Y/X)- – 2)* if: X = (; -) Y = (% ) z = ( ) (G Đ=z (F- )=« (4- )-

A: We will find out the required value.

Q: If f(x, y) = %3D

A:

Q: . Then Var(X+Y+Z) is equal to:

A: Here x , y and z are independent variables  So covariance between them are zero

Q: Calculate fx (1, 3) and fy (1, 3) for f (x, y) = √(7x + y^2).

A: For a function of two variables, partial derivative with respect to one variable is calculated by…

Q: f (x, y) = x+ 5y 2 +y = 25,

A:

Q: F(x,y, z) = (y +x).(y+z) + xyz

A: To draw the circuit of a boolean expression and to check for what values of (x,y,z) the 0 state of…

Q: Find fyæy. .5. .8, f (x, y) = a"y* – 7»®y + x f yry

A:

Q: ス+)V2x+x dxメ

A: Given,          ∫x+12x+x2dx

Q: Find fyzy. f(x, y) = x°y® – 7x°y+x

A: Given: fx,y=x5y9-7x7y+x   We can write as: fyxy=∂∂y∂∂x∂f∂y So, ∂f∂y=∂ ∂ yx5y9-7x7y+x=∂ ∂ yx5y9-∂ ∂…

Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

A:

Q: What is the domain of h(x, y) = Vx - y?

A: Given: hx,y=x-y we know that for domain of square root function inside of root not has to be greater…

Q: Differentiate y=x√x.

A: Given : y = xx

Q: Find fxy(x,y) if f(x,y) = (x5+y³) 7. fxy(x,y) =

A:

Q: a. If y = 1000(2-0.1x ), find the value of y whenx = 10.b. Use graphical or numerical methods to…

A: If y = 1000(2-0.1x ), find the value of y whenx = 10.

Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3)

A: Given: f(x,y)=ln|3x4+5x2y2|∂f∂x|(2,−1)=fx(2,−1)=?∂f∂y|(−4,3)=fy(−4,3)=?

Q: Max Z = 4X1+10X2 %3D s.t. 5X1+4X2 < 200 X1+2X2 s 50 X1+X2 s 20 X1, X2 0

A:

Q: By using false position method find f(x) = e* - 2 u %3D

A: Attached solution :

Q: Find y' for x 3 + y-3 9. at the point (2, 1). | At (2, 1), y' Preview ||

A:

Q: y = In /2x

A: The function is given by y = ln2x

Q: Find fxy(x,y) if f(x,y)= e 8xy² fxy(x,y)=

A:

Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex

A:

Q: xyz 9. f(x, y, z) = x² + y2 + z2

A: Givenf(x,y,z)=xyzx2+y2+z2To find Domain of above functions

Q: Find fxy(x,y) if ​f(x,y)=(x^3+y^4)^7. fxy (x,y) =

A:

Q: Find fxy(x,y) if f(x,y) = (x² + y²) 7. fxy(x,y) = ...

A:

Q: Verify that 0t ду дх дх ду 2. 3 y 3 f (x, у) %3D 2х*у — х"у — ху

A:

Q: How do I find the relative extrema of x3 - 27x?

A: To find the relative extrema of the below function. Relative extrema occur at the point where the…

Q: What value of c will satisfy y(x) = c(1 – x²) given y(2) = 1 ? %3D ) Option 1 Option 2 2.

A:

Q: af(x,yz) -

A:

Q: 7) Suppose y varies directly with x. If y=7 when x = 2 what is y when 3' X=-1.3?

A:

Q: Calculate fxyy for f(x,y) = x 3 + y2ex.

A: Given function is fx,y=x3+y2ex. To calculate: fxyy. Solution: fxyy means first partial derivative of…

Q: 4. y = vx + 2 x,for-

A:

Q: The between cuefficient of corteletion X and'y のメー ag and and の2=114 what is constant a2 where x…

A:

Q: -2 The domain of f(x,y) = is %3D x² + y?

A: f(x,y)=-2x2+y2

Q: Find fx(x,y) and fy(x.y). Then, find fx(- 4, – 1) and fy(- 1,3). 23| f(x.y) = In |8 + 5x²y³|

A:

Q: 1. f(x) = v9– x 8. 5 4 y 2. f(x) = Vx+2

A: As per guidelines we have to solve one question Please repost other questions again

Q: f (x, y) = x² + 3y² + 4,

A: Supposing the question is asking to find the local minima value.

Q: f (x, y) x+ 3 ху 3 Бъ-х

A:

Q: 3) If y varies directly with x and y is -6 when x is 2, what is x when y is -22?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

A:

Q: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.