dX A) Find the integration: ,? V1- X2 B) Find the equation of the circle with the given center c and radius a then sketch the circle in xy-plain include the circle's center in your sketch. Also, label the circle's x-intercepts and y-intercepts, if any, with their coordinate pairs. C(-3,0), a = 3

Q: Parallel to y + 8x = 4, through (3, 4); slop- intercept form

A: The line is parallel to y+8x=4, passes through 3, 4

Q: 4.x?y³. dx = xyt + 2 4x2,3 dy 4

A:

Q: The shape of y=sqrt(x) that is reflected across the origin, then shifted left 7

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Q: y= c¡x+c2x²

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Q: (4x +4K H0)?

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Q: Differentiate: V=x° Inx- Z x²

A:

Q: t.

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Q: xdy = (y - Vx² + y²) dx

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Q: Find the distance between two points (1, 2) and (3, −1).

A: We want to find the distance between the given two points. We use formula for finding the distance…

Q: Sketch the line parallel to 3x + 2y = 12 which passes through the point P(0, 2).

A: Given,         The line parallel to 3x+2y=12 which passes through the point P0,2.We know that,…

Q: C: 2 +xy y?e2 sin x dx

A: The given differential equation is a Bernoulli ODE of the form y'+p(x)y=q(x)yn, whose general…

Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 - are equal, show that 2/b = 1/a +…

A: What is Discriminent: The discriminant of a higher degree equation in one variable determines the…

Q: Find the coordinates of a point on z-axis which are at a distance of 7 units from the point P(3,-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.