Evaluate the cylindrical coordinate integral. 1/2 18 1/r cos 0 dz r dr d0 0 9 1/?

Q: 2. Use cylindrical coordinates to evaluate √√9-x² 9-x²-y² [dz x² dz dy dx. √9-x2 0

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Q: A particle is moving along the path given by R(t) = (sin(In t), cos (Int), √3 lnt). (a)…

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Q: (In3+j5)5 sech(5.5430°) TT tanh ja V[ej – j213 ji]4 ¡213

A: Given tanhjπ4ej-j213jj4ln3+j55sech(5.5∠30°)

Q: dy 5. Find dr if y = sin(V +1).

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Q: Find z in 2= Sinh (4-j5). cos (4-5) express in polar porm

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Q: Z:4ě Lny, x= Ln (ucnv), y=u sinv X = Ln (ucosV), Y =u sinv %3D ze

A: Let us consider the function Z=f(x,y) where x , y is the function of p and q Thus, the partial…

Q: Q R R Ꮎ x Consider three positive charges Q placed on an arc of a circle that is centered at the…

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Q: 4. The path of the particle P is the ellipse defined by the relation reC 8= nt where r is expressed…

A: Given, relations are r=22-cosπt            .......1 Now differentiating the above equation of r with…

Q: dy at the value of the parameter. dx Find X = 4 cos(2ns), y = 3 sin(2ns), s = - 1/4

A: Given query is to find the value of dy/dx at s =-1/4.

Q: Change into polar coordinates and then evaluate the integral. √25-x² y cos(x² + y²) dy dx x So So

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Q: dy at t = dx? Let x = 3 cos t, y = 4 sin t. Find 4

A: Derivative Question

Q: Change the Cartesian integral -₁¹* dy dx into an equivalent polar integral. Then evaluate the polar…

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Q: Find the velocity, acceleration, and speed of a particle with the given position function. 1. r(t) =…

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Q: Find the area of the shaded region. 3- 1 -1- 2 05 y=2 15 y=2 sin(xx) 25 OA. 4+/ OB. 4 4 O C. O D. 8

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Q: The general salutienta the differential eJuation.

A: Given: y''+2y'+2y=2e-xtan2(x)

Q: T/2 T (² cos 2y + 3y° sin z) dz dy . Evaluate -1/2 Jo

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Q: cos²ysiny + xcos®y – 3 = 0 dæ dy

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Q: the value of $[(3x + 4y) dx + (2x + 3y2) dy] around the circle x² + y² = 4. Find the line integral…

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Q: Encuentre la solución general pa dy = 4 cos(e²× )sin (e²x )e²x doc Para la barra de herramientas, p

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Q: 3-x Q1) Evaluate the integral * dy dx using polar coordinate

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Show every detail of your solution. Differential equatioens. siny dx + (x - sin? y)dy3D0

A: The given differential equation is: sin y dx+(x-sin2y)dy=0⇒sin y dx=-(x-sin2y)dy⇒dxdy=-(x-sin2y)sin…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.