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

Q: Ex- find the roots of equation f(x) r2 (4,5) and (-4,-3)

A: Given: f(x)=x2−x−6

Q: Find the point of intersection of lines 1₁ and 12. 1₁:r₁ = (5 + 2t₁)i + (10 - 3t₁)j + 2t₁k 12:12 =…

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Q: Multiply the following. (5x° + 8y) (5x³ - 8y) (5x3 + 8y) (5x3 - 8y) = (Simplify your answer.)

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Q: (- 1)"(品 2n +1

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Q: Find Z(D4).

A:

Q: Find an equation of the line parallel to 7x-y=5 and passing through (4,3). Express the equation in…

A: wr have given line is.....     7x-y=5Or,  y=7x-5...............(1)any line parallel to line (1)…

Q: (7x+19)° 57°

A: sum of the angle of the triangle is 180°

Q: Find the coordinates of a point on z-axis which are at a distance of 7 units from the point P(3, -2,…

A: Given that a distance of 7 units from the point P(3, -2, 5).

Q: | (x - i) i=-1

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Q: 4Standard form: 4.x +3y =9 Slope-intercept form:

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Q: Q2:- xdy-ydx -Jx - dx

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Q: 1 (d) D) Write an equation for which the graph would be a vertical translation five units downward…

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Q: дz дz 45. Find and Әх ду at (-1, 1, -1): yey-x² +z² = -3z-y²³

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Q: Find curl (8z i + 9x j + 8y k). curl (8z i + 9x j + 8y k) = ( i )i + ( i )j + ( i )k

A: We know: Where P, Q and R correspond to the components of a given vector field:F→=Pi→+Qj→+Rk→ curl…

Q: (x + 2)³ y = (x² – 4) ||

A: a2-b2 =(a-b)(a+b)

Q: YA Y= 5X-x² 2. (4,4) Y= x Find the Alea Of the shaded hegion

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Q: Ex(7): Find the coordinate of the point which divides the line segment from 3 (2,-3) to (-1,4) in…

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Q: 3. Standard form: r+ 6y= -2 %3D Slope-intercept form:

A: Given equation is  x + 6y = -2

Q: Suppose you are climbing a hill whose shape is given by the equation z = 900 - 0.005x north. 0.01y,…

A: Directional derivative of a function f(x,y,) in the direction of unit vector  u^=ai^+bj^  where…

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.