Test for symmetry with respect to each axis and to the origin     y = 9x − x2

Q: Test for symmetry with respect to each axis and to the origin xy2 = −10

A: To check for symmetry of a function about  x axis, replace y with -y in the definition of the…

Q: The point P1(5, -2) is 4 units away from a second point P2, whose y coordinate is 1. Locate the…

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Q: Test the equation y = 5x2 - 1 for symmetry with respect tothe x-axis, the y-axis, and the origin.

A: we have to test the given equation for the symmetry with respect tothe x-axis, the y-axis, and the…

Q: Test for symmetry with respect to each axis and to the origin. y = x4 − x2 + 3

A: Given y=x4-x2+3Test of symmetry about X axis Substitute -y in place of y ,-y=x4-x2+3…

Q: test each equation for symmetry with respect to the x-axis, the y-axis, and the origin.     y = x3 -…

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Q: t 36.(x+1) =4 2 2

A: The given equation,(y-8)22+36(x+1)2=4

Q: Test for symmetry with respect to each axis and to the origin y = x5 /(4 − x2)

A: To test symmetry of a function about x axis, replace y with -y in the given function y axis,…

Q: test each equation for symmetry with respect to the x-axis, the y-axis, and the origin.     x2 + x +…

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Q: ngent to the y axis and the center is

A: To determine the circle of equation tangent to y axis and center (5,8)

Q: Complete the square to express y= 3x – 10x – 5 in the form y=a(x-h)² +k. Then give the coordinates…

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Q: test for symmetry with respect to each axis and tothe origin.xy2 = −10

A: Assuming the equation isxy2=-10 we can rewrite the equation as x=-10y2 It is an equation of a…

Q: test for symmetry with respect to each axis and tothe origin.y = x2 − 6

A: test for symmetry with respect to each axis and tothe origin y = x2 − 6

Q: Test for symmetry with respect to each axis and to the origin y = x /(x2 + 1)

A: To test symmetry of a function about x axis, replace y with -y in the given function y axis,…

Q: test each equation for symmetry with respect to the x-axis, the y-axis, and the origin.     2x-3y2

A: Given2x-3y2=0

Q: 2.Express the equation in standard form and indicate the center and radius, if a circle exists. a.…

A: Part a,Given,            x2+y2-10x-14y-7=0We know that,          The general equation of the circle…

Q: Test for symmetry with respect to each axis and to the origin y = x3 + x

A: To check for symmetry of a function about  x axis, replace y with -y in the definition of the…

Q: test for symmetry with respect to each axis and tothe origin.y = x3 + x

A: Function is a relation from a set called its domain to a set called its range. For this relation to…

Q: - y = x-4 Axis of Symmetry: Vertex: Sketch:

A: Given , y=x2-4 we have to find a) axis of symmetry  and b) vertex

Q: Test for symmetry with respect to the x-axis and the y-axis.y = x2 + 4

A: rewriting the equation we have  x2=y-4

Q: The figure is a rhombus. Solve for x and y

A: In Rhombus , the diagonal bisects the angles  Opposite angles are equal and the diagonal bisects the…

Q: test each equation for symmetry with respect to the x-axis, the y-axis, and the origin.     x2 + 4y2…

A: Symmetry is when an object is same on both the sides

Q: The equation x2 + y? + 2x-4y- 10 0 represents: %3D | circle O point O has no graph O

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Q: Test for symmetry with respect to each axis and to the origin IyI − x = 3

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Q: Which cube root equation shows a y-axis reflection, a vertical stretch, a left horizontal…

A: topic - function and translations

Q: Test for symmetry with respect to each axis and to the origin. y2 = x2 − 5

A: The equation is y2=x2-5.   Test for symmetry about y-axis. Replace x with -x. y2=-x2-5y2=x2-5   The…

Q: y = x', y = 8,x=0 through 360° about the y-axis. с.

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Q: Test for symmetry with respect to each axis and to the origin xy−√(4 − x2) = 0

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Q: Test for symmetry with respect to each axis and to the origin y = 4 − √(x + 3)

A: Test for symmetry about the y-axis: Replace x with (-x). Simplify the equation. If the resulting…

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

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Q: For the equation y = x - 3x + 4x + 5, is there any symmetry as to x-axis, y-axis, or origin?

A: An axis of symmetry represents a line about which each part of a function curve is reflection of the…

Q: Test for symmetry with respect to each axis and to the origin   y = x2 − 6

A: We plug -x in place of x  This equation is the same as the given equation. So the function is…

Q: Test for symmetry with respect to each axis and to the origin. y = x2 + 4x

A: Consider the following equation: y=x2+4x                                  ...... 1 For symmetry…

Q: 1. Convert this equation into ce form State the coordinates center of the circle and its r…

A: Answer

Q: Eliminate the parameter t to find a Cartesian equation for: x = ? and y = 9 + 4t . and express your…

A: We are given that x=t2 and y=9+4t. Now,…

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x = 3? a = b…

A: Slope of the tangent is obtained by dy/dx

Q: Test for symmetry with respect to each axis and the origin. y = x? + 9

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Q: Test for symmetry with respect to each axis and to the origin xy = 4

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Q: The figure is a rhombus. Solve for x and y 23°

A: Properties of Rhombus The opposite sides of a rhombus are parallel. Opposite angles of a rhombus are…

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

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Q: y = x - 2xr-3 %3D

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Q: Test for symmetry with respect to the x-axis and the y-axis.x2 + y2 = 16

A: The graph of x2+y2=16 is shown below It is a circle with origin as center, and radius 4.

Q: 104 2 -10 -8 -6 -4 -2 2 4 6 8. 10 -2 -4 hp 4-

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Q: x² + y? + z² + 8a + 4y – 6z – 7 = 0

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Q: Suppose the graphs of y 3x? – 3x + 9 and y = x + bæ? + 26x – 9 intersect at a = 2. %3D Find all…

A: To find all intersection points Given graphs are intersect at x=2

Q: Test for symmetry with respect to each axis and to the origin y = Ix3 + xI

A: Given, the equation of the curve y = |x3 + x|. And we have to check whether the curve is symmetric…

Q: Which cube root equation shows a y-axis reflection, a vertical stretch, a left horizontal…

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Q: Test for symmetry with respect to each axis and to the origin. xy = −2

A: xy=-2 Replace x, y by x, -y, we get x-y=-2⇒xy=2 Which is not same as original equation. Therefore…

Q: State the curve domain and coordinates of the point where the curve cross es the n-axis y: In (2x…

A: Given y= ln(2x - 5)  The domain of a function is the complete set of possible values of the…

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.