1- Ellipse 1. Find the equation of the ellipse x' + 9y - 4x - 72y + 139 0 and locate the coordinates of the foci.

Q: Determine the center and radius:

A: General equation of circle is given by (x-h)2+(y-k)2=r2 Where (h,k) represent center and r represent…

Q: d radius for the equation of the circle (x-8)2+(y+1)2=81

A: Given the equation of a circle: x-82+y+12=81 Now, The standard form of the circle equation is:…

Q: The formal elements that best describe this Cubist painting is?

A: We have to decide  the elements in cubist painting.

Q: Circle-2 y ↑ (0,0) Circle - 3 Circle-1 K (0,20)

A: The figure is given

Q: Surface Sketching: 2x-y-z=0 Symmetry, Intercepts, Traces, Sections, Full Sketch

A: Given that 2x-y-z=0Clearly, it is an equation of a plane.The equation is linear and has no squared…

Q: Iz-1+2il<1 represents the interior of the circle of center (2,-1) and radius 1 (without the…

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Q: Evaluate Jetz C where C is the circle |z| = 2 in the positive sense. (z − 1)² - + z + 1 2² - 3z dz

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Q: . Use linear algebra techniques to find the center and the radius of the circle a(x² + y²) + bx + cy…

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Q: Find the distance between the two Y(2, 0), P(2, 6)

A: to find distance between two points  Y2,0 and P2,6

Q: True or False The center of the circle(x + 3)2 + (y - 2)2 = 13is (3, - 2)

A: We have to identify that given statement is true or false: The center of circle x+32+y-22=13 is 3,…

Q: 1. Identify the center and radius of the circle with the given equation x² + y ² - 14x + 2y = -1

A: Given the equation of a circle, x2+y2-14x+2y=-14x2+y2-14x+2y+14=0

Q: eramtime astome Find the equation of the semi-circle pictured. 3+ -8 -7 -6 -5 -4-3 -2 -1 2. 4. -4 -5…

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Q: Identify the center and radius of each. 1) (x-3)+(y+4)=1

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Q: General form of the circle whose center C and radius r are given 1. (-1,5) , r = 5 2. (-6,4) , r =…

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Q: passes point ove that for all values of 0, the locus of the point of intersection o x cose + y sin =…

A: First Part : Let the equation of circle be x2+y2+2gx+2fy+c=0Now on passing through the points we get…

Q: A contour integreal, using the following equation: 20x+ 2, a contour goes from (0,0), (5,0), (5,5),…

A: The given problem is to evaluate the given contour integral for the given equation 20x+2 where…

Q: Using phytagorean theorem, derived the standard equation of a circle.

A: Given :   Using phytagorean theorem, derived the standard equation of a circle.

Q: Given the equation y = -6 + 4x, find the value of x if y = 14 Show Your Work

A: Given equation is y = -6+4x we need value of x when y =14  So put y = 14 in above equation.

Q: ^. Use linear algebra techniques to find the center and the radius of the circle a(x² + y²) + bx+cy…

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Q: Miguel plotted five different points on a coordinate planc. Point Coordinate Point V (5,1) (5, -4)…

A: Given Data: The table given in the problem represents the coordinates of points on the plane. Point…

Q: Point C has the coordinates (-2, 5). You reflect C across the x-axis to make a new point, D. What…

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Q: SHOW COMPLETE SOLUTION Find the points of intersection between the circle (x-2)²+(y-6)² = 40 and…

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Q: Circle has a center (-6, 4) and a radius of 8. If a translation (x, y) --> (x + 3, y - 2) and a…

A: Given data is : Center C=-6,4Radius=8

Q: A line parallel to the x-axis could contain which point? Choose all that apply. 0(10,4) O (2,0) O…

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Q: L Write the equation of a circle in standard form given the following Radius Center Equation 1. (0,…

A: Recall that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is…

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.