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

Q: (xCsc-)dナ×

A:

Q: A laser beam shines along the ray given by r(t) = (5.1.7) + (5,3,-2) for t≥ 0. The second laser beam…

A:

Q: If 21 = (2, -1), z₂ = (6, 3), find 2₁ 22 - 22.

A:

Q: Lim (x?-zx+3) メーフト 2こ

A:

Q: The hyperbolic cosine function, denoted by cosh, is defined by the equation cosh(x) = (ex + e-x) (a)…

A:

Q: 3s + 12 망 (s + 2s + 10) x(t) = L-1

A:

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

A:

Q: If yo is the particular solution of dy 4x y, y(0) = 3, dx find the value of yo(2).

A:

Q: Find Aut(Z6).

A:

Q: (1) How much is 0! ? (by convention on). 0!

A: (1) Given

Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: 4 (2+ VT)5 5. Calculate 0.

A:

Q: SEB x /9x? – 1 (14) 2/3 dx

A:

Q: Express 0 in each figure in terms of x. (a) 4 0 3= (b)

A: Using the trigonometric ratio  tan θ=PB  tan θ=x4   θ=tan-1 x4

Q: 3/4 mDH= 24. If MMOP= (11x-38)' and MZLMP = (3x + 41)', find MZNMP. N M NMP= 25. If mRU = (16x –…

A:

Q: 03 3 Grwein (wave → ( x² - y²)³ zy <= Find 2 du - 5 dy @ (3,1) dx 2 dz.² 512 27

A: Given curve: x2-y2xy3=51227 To find 2dydx-5d2ydx2 at point 3, 1.

Q: The i-component of +t is

A:

Q: If det(A) = 2, find det(A5).

A: Given:detA=2det5A=?FORMULA:detcA=c detA

Q: The Taylor series for f(x) = ln(x) at c=3 is > C (x – 3)*. | k=0

A:

Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: tind y 3 O y=(++ y =9tan 4 ® y= x (2x+1) (4) %3D 1-VX

A:

Q: Divide 8r*y – 10x*y³ + 12x²y³ by 4.r°y?.

A:

Q: =) Find limeo [-]

A:

Q: Find rye"ty dyda

A:

Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)

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.