2z+3 Find the poles and their multiplicities of the rational function z²+5z+6,

Q: 2x+8x Graph the rational function h (x) = x²- 6x+8 www 12+ 10 9. -12-10 -2 10 -6 -4 -2 -4 -8-…

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Q: Consider the rational function y = 7x 12 3x - 2 Which one of the following is true? Select one…

A: Given :Rational function :y=7x-123x-2

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions, n =…

A: Given that f(x) is a 3-degree polynomial. Zeros are 1, 5i, and -5i (conjugate of 5i) So, the factors…

Q: What are the equations of the asymptotes of the rational function? f (z) = 242z-3 2z2-z-1 %3D Drag…

A: Given: f(x)=x2+2x-32x2-x-1

Q: Find a polynomial function with real coefficlents that has the given zeros. (There are many correct…

A: We use  i2= -1 (a-b)(a+b)= a2-b2

Q: 4x 10. Find all vertical asymptotes for the rational function f(x) = x²-144 11. Find all of the…

A: We can solve this as follows:

Q: Three of the zeros of a fourth-degree polynomial function f are -3, 4, and -5i. What is the other…

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Q: Find the equation and sketch the graph of a rational function that passes through​ (0,0) and…

A: Given,         The graph of a rational function that passes through​ (0,0) and (5,10/9) ​, has the​…

Q: a polynomial function is given  R(x)=-x^5+4x^3-9x describe the end behavior of the polynomial…

A: NOTE: Refresh your page if you can't see any equations. . here degree of the polynomial is 5 which…

Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the rational…

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Q: Find the domain of the function. 11 2-9x h(x) Step 1 The domain excludes x-values that yield zero in…

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Q: Give the x- and y-intercepts, multiplicities, and end behavior for the polynomial function.…

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Q: Find the domain & range, vertical and horizontal asymptotes and the x-intercept and y-intercept.…

A: An asymptote of a curve is a line such that the distance between the curve and the line approaches…

Q: a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy…

A: Asymptotes of a Rational Function

Q: Graph the rational function. = (x)/ -x+2 9–x %3D Start by drawing the vertical and horizontal…

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Q: A cylinder has a radius of x + 2 units and a height of 3 units greater. Express the volume of the…

A: Solve the given problem.

Q: (a) Find a polynomial function of degree 3 whose y-interceptis 5 and whose x-intercepts are - 2, 3,…

A: Part (a): Find a polynomial function of degree 3 whose y-intercept is 5 and whose x-intercepts are -…

Q: Consider the rational function y= 3x^2-9/x^2-7x A) find all the horizontal asymptote of function B)…

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Q: a degree 4 polynomial having zeros -6, -4, 3 and 8 and the coefficient of x^4 equals 1 The…

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Q: Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If…

A: Given n=3, zeros are 3 and 5i and f(2)=-29. We need to find the nth degree polynomial.

Q: 3. For each graph of a polynomial function, determine the least possible degree - the sign of the…

A: (a) The curve crosses/touches the x-axis two or more times and one end of the curve is upward and…

Q: tven the polynomial function f(x), find the rational zeros then the other zeros (that is, solve the…

A: The given polynomial is- fx=x3-75x-250 Considering the options, put x=-5,…

Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the rational…

A: Given: fx=36x2-12x+36x-3   As we know that; To calculate the vertical asymptote, equate the…

Q: 3x-21 )Find the domain and range of the rational function w(x) = %3D 3x2 - 20x -7 A) Factor the…

A: Given query is to find the domain and range of the function.

Q: 8z2-5+1 f (x) Which of the following is the horizontal asymptote of the rational function 42-3 ? O…

A: Let's find.

Q: Find the asymptotes 2x^2+7x-4 / 3x^2-7x-20

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Q: Graph the rational function. -4x-18x-12 f(x)= 6x+9 Start by drawing the asymptotes. Then plot two…

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Q: -7x+3 Graph the rational function f(x) -4x-6 To graph the function, draw the horizontal and vertical…

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Q: )(a) Find the y- intercept of the function f(x) =-0.1-x-(x-3)²(2x+5). (b) Find the x - intercepts…

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Q: Find the equation and sketch the graph of a rational function that passes through​ (0,0) and…

A: Given  The rational function that passes through​ (0,0) and (5,20/21)​,the horizontal​ asymptote is…

Q: Find a degree 3 polynomial having zeros -2, 1 and 8 and the coefficient of x3equal 1

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Q: Directions: Determine whether rational equation, rational inequa solutions in your activity noteboo…

A: As per the company guidelines We can first three parts   only. Please understand. Kindly repost the…

Q: Write a rational function that has x=-2 as its only vertical asymptote, a hole on the line x=2 and a…

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Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the ration…

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Q: 2) List one of the zeroes of the polynomial function. The function will have more but you only have…

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Q: Find a polynomial function with real coefficients that has the given zeros. (There are many correct…

A: Given that the polynomial with real coefficients has a complex zero 9i. then by complex conjugate…

Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the rational…

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Q: Graph the polynomial P1x2  1x  223  27, showing clearly all x- and y-intercepts

A: P(x)=-(x+2)3+27

Q: Vóx-9 Find the horizontal asymptotes of f(x) : 7x2+9

A: For any function, if the degree of the numerator is, 1. Less than the denominator then the…

Q: Determine the equation of the vertical asymptote and the equation of the slant asymptote of the…

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Q: Write an equation for a rational function whose graph has all of the indicated features.

A: Write an equation for a rational function whose graph has all of the indicated features. -…

Q: Answer the given problem involving rational functions. Show the complete solution. Two farmers can…

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Q: Find the vertical and horizontal asymptotes R(x)= 2x^2-8 / 3x^2-5x+6

A: We know that the line x=L is a vertical asymptote of the given function R(x)=2x2-83x2-5x+6 , if the…

Q: (a) Express 3x- 32' + 20 +2 – 1 (* - 1)(2² +1) as a sum of rational functions of the form A, and B,r…

A: As per our company guidelines we are supposed to answer only one question. If you want any specific…

Q: oblique asymptote of the rational functi (z-z-20) (z²+5z+6)

A: The given function is f(x)=(x2-x-20)(x2+5x+6)(x+4)(2x2-9x-5)

Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the rational…

A: Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of…

Q: — бх +7 f(x): — 4х + 10

A: Given:

Q: Find the vertical and horizontal asymptotes. (Enter your answers as comma-separated lists of…

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Q: 9x2 Find the horizontal asymptotes of f(x) = - 8x 10x2 + 9 (Use symbolic notation and fractions…

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Q: 2x³ – 4x²+7 x2+x-6 Find the SLANT asymptote of the function r(x)= Select one: O y= 2x-6 Ох3-3, х%3D2…

A: According to question we have to find the slant (Oblique) Asymptotes.r(x)=2x3-4x2+7x2+x-6

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.