ze Find the Residue of at its pole. (3-1) (or) Find the poles and residues at each pole: (:-1)

Q: Find the coefficients of x from the expression (x2 – ) 5 3) 10 - X.

A:

Q: x² + x – 2 ? What is the point of discontinuity of

A: here is we see that function is not define when x=2

Q: lim,-2 3x? – x – 7 |

A: Applying limit property

Q: Q1. The points A (a, 3) and B (10, 6) lie on a circle. AB is a diameter of the circle and passes…

A:

Q: For S = {3, 4}, find g(S) and g-1(g(S)).

A: Given that, S = {3, 4}

Q: Lim (x?-zx+3) メーフト 2こ

A:

Q: Find any intercepts y = x√(16 − x2)

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Q: h(x) = 6–|15– 3x| 17a. Find the x-intercept(s) algebraically, write answer in (x,y) format 17b. Find…

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Q: Find all points on the graph of 3x2 + 6y² + 3xy = 64 where the tangent line is horizontal. y X.…

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Q: Vx² + 4x – 5 dr. A secant substitution Evaluate x + 2

A: Consider the following definite integral: ∫14x2+4x-5x+2dx=∫14x2+4x+4-9x+2dx=∫14x+22-9x+2dx…

Q: b 11. Find the vertex of f (x) = x² – 8x + 16. Use x = 2a A. (4,0) (- 4,0) С. (0,4) D. (0, -4) B.

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Q: Determine the point ths of the way from point A: (-3, -2) to point B: (4, -3) shown on the…

A: The objective is to determine the coordinate of the point 58 of the way from the point A-3, -2 to…

Q: Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1,…

A: The points A2,1,0, B-1,3,1 and C-1,0,1 we have to find the distance between the points AB and BC…

Q: lim У-у-г уг -30+2 зу Уже

A: We have to findlimx→−2

Q: a. A random variable X has the following probability distribution: 0 x 18 5 x 18 10 x 18 15 x 18 20…

A: Given, X 0 90 180 270 360 450 P(X=x) 0.1 2m 0.2 0.1 0.04 0.07 Here,…

Q: Find the vertex of the function: y = 2Vx + 9- 2 O (9,-2) O (-9,-2) O (-9,2) O (9,2)

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Q: (5x-10.4)° (3x + 6)° a (4x+1)° Find

A: Given-  To Find- The value of x.

Q: B: Draw the function y = √√x-8

A: First we compare this equation with general equation of parabola then transform.

Q: Find MZDCE. D. (9x – 31)* (7x – 2)°/ C E (4X + 33)°

A: Given,

Q: Find x. A (2x – 15)* (2x 15)° - C

A:

Q: Find all values of t for which

A: Given that: t-223t-3=0

Q: Find the the point on the line l: +t 0 | closest to the point P(3, 2, –2). ||

A: The given line is                             l: xyz=101+t00-1 and a point         P(3,2,-2)

Q: (x + 2)³ y = (x² – 4) ||

A: a2-b2 =(a-b)(a+b)

Q: Vx2 + a? lim Væ2 + 62 Væ2 + c2 Væ2 + d?

A:

Q: Jx²+2 Lim X-7 3x -6

A:

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.