1+x2 1. Describe the domain of f(x, y) = Vx2+9y2-1"

Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: Find the domain of f(x) = Vx + 3 + Vx - 1.

A: Given that the function f(x) = x+3 +x-1 To find the domain of f(x).

Q: x+4 x²-2x (a) Find the domain of F. 10. Let F(x) = = (b) F(-2) =

A:

Q: Consider the function y = (a) Find the x- and y-intercepts of f(x)

A: An x-intercept of a function f(x) is a point on the x-axis at which the graph of the function f(x)…

Q: y=8x-x³ 12) Where is the function concave down?

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Q: f (x) = Vx² – 4.

A:

Q: The natural domain of the two-variable function f(x,y)=(2x+2y^2)√ 2−x^2−y^2 is Choose an option:…

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Q: a2f ду? 1 If f(x, y, z) = - 2+y² + find ax2 az2

A:

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: /6х — 22

A: We will evaluate the given integral as shown below by using trigonometric substitution

Q: What is the y-intercept of y = Vx+1+3? Explain using transformations of this function from the…

A: Given that  y=√(x+1) +3 To find the Y-intercept of y

Q: Find the point of f(x) = 2x3 - 9x2-17x - 3 is at [0, 00) on which concavity changes. %3D

A: We draw graph of given function.

Q: Find the domain of f

A: We have to find the domain of the function: fx=x+2+2-x We know for any square root function y=fx it…

Q: Find the domain of f

A: We have to find the domain of the function: fx=x-2x-6 We know that for any square root function y=fx…

Q: F(x,y)=xy+3 find and sketch the domain

A: our objective is to find and sketch the domain of  F(x,y)=xy+3.

Q: Find the number of zeros of g(2) = z+z++2:²+1 in the first quadrant,where z €

A: Given function is gz=z13+z4+2z2+1. We have to find the number of zeroes of gz in the first quadrant…

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: Linearize the function f(x) = x3 + 2x + 4 at a = 3.

A: To linearize a function  at certain point x=a , first we need to evaluate the function value at a (…

Q: Find the domain of the function f(x) = V-a? 3x + 4

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Q: The domain of f(x) = Vx is

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Q: the extreme points of f(x,y) = 3x²y+y3-3x² - 3y² + 2.

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Q: Let f(x, y) = x²-2 y.(y+4)

A: We can compute the determinant.

Q: A competitive firm's profit is given by 7(x,, x2) = 95(4x2 + 6x)- 4.75x,- 15x,. %3D The stationary…

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Q: Given the function X- 二メ (x+2)(x-) with (x+2)³ (X -1)³ Find any X and Y intercepts 3 8.

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Q: Let f(x) = V3x +4.

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Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

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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.