Which of (a)–(c) is the equation of the cylinder of radius R in spherical coordinates? Refer to Figure (a) Rp = sin (b) p sin ø = R ( c) ρ-R sin φ d. R FIGURE

Q: Show that the graph of the equation r = 2a sin θ, a > 0, is acircle of radius a with center at…

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Q: The parametric equations for the paths of two objects are given. At what rateis the distance between…

A: Given: The parametric equations for the paths of two objects are given. At what rateis the distance…

Q: Determine the amplitude of the sinusoidal function π -3 sin [2(z − )] + 3 Y = +1

A: Given,             y=-3sin2x-π3+1To find : Determine the amplitude of the sinusoidal function.We…

Q: Match the given parametric equations with one of the parametric curves. x=3- sint, y=3+ cost

A: It is given that x=3-sint, y=3+cost. we have to find the graph of the parametric curve

Q: Consider the parametric equations x= 0 + 2 sine and y 1+ 6 cose. Which of the following represents…

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Q: V4-y? '8-x²-y² By converting to spherical coordinates, evaluate 2? dz dx dy.

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Q: By eliminating the parameter, determine the rectangular equation equivalent to the parametric…

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Q: A road is shaped in the shape of the cardoid r=1000(1+cos(theta)) (polar coordinate form of the…

A: Given,

Q: Question 1: Find the equation of z = -3 in spherical coordinates:

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Q: i do not know how to do this

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Q: Example: Find the torsion of the r= (cos t i + sin t j + tk)

A: We use the formula to find the torsion :-

Q: 6. O Convert the quation aty z+y froui cartesian to polar (10 P.) (u) Convert the equation r - 2 sme…

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Q: Sketch with direction of the following functions r = f(θ) in polar coordinate. please sketch with…

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Q: Convert to spherical coordinates and evaluate: 4-x2-y2 4-x2 -4²+x²+z?)² dzdy dx

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Q: The parametric equation of the motion of a particle on a plane is given by 3/2. x = te + 2t12; y=t'…

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Q: 2. Use polar coordinates to evaluate √9-1² 2 L √4+x² + y² dy dx.

A: This is a problem related to integral of polar curves. Based on the substitution in cartesian…

Q: Use your parametric equations to determine the following: Maximum height Time to land Where to…

A: Disclaimer: Since you have posted the sub multiple parts for the questions ,we will solve the first…

Q: Sketch the graph of the spherical equation ρ = 2 cos θ sin φ and write the equation in rectangular…

A: ρ=2 cosθ sinφ

Q: How do you solve this using polar coordinates?

A: We will find out the required result.

Q: Evaluate by changing to spherical coordinates: /2–x²-y² xydzdydx x²+y2

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Q: With polar coordinates (3, -1), find (r, θ) for r>0 and r

A: The point in Cartesian co-ordinate is given by .

Q: √2-1₁² √4-x²-1,² ITI S y=0x=y=z=√x² + y² arctan() dzdxdy ||

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Q: Q1// Converting r= 12 cos 0 from polar to the equation of a circle?

A: Solution is given below:

Q: Express the eqution in rectangular coordinaties. (use variables x and y) r= 7cos(theta)

A: Given question:- Express the eqution in rectangular coordinaties. (use variables x and y) r=…

Q: (b) Convert from Cartesian coordinates to spherical coordinates. Give exact answers (no decimals),…

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Q: Determine the period of the sinusoidal function a) 4 b) 0.5 c) d) I 2 cosx0.5 y = 0.75 cos

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Q: Use cylindrical coordinates. (a) Find the volume of the solid that the cylinder r = a cos θ cuts…

A: calculation of above requirement are as follows To find the volume of the solid that the cylinder r…