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Q: 5 A polar curve is given by r = (3-cos(0)) What is the rectangular equation of the tangent line at 0…

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Q: ). vert the following equation to polar coordinates. Your answer should be expressed in the format r…

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Q: Q2: Sketch the polar function r = 6 cos 30 ,-n <0 < T

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Q: 4. Find the length of the curve having a parametric equation of x = a cos 3 6, y = a sin 2 0 from e…

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Q: The monkey saddle z = x³ - 3xy² can be intersected with the cylinder x² + y² = 1 to produce the…

A: Given monkey saddle is z=x3-3xy2 and the cylinder is x2+y2=1. The given curve is the intersection of…

Q: Draw the polar curve r = cos(30) with its orientation. Set up all integral to evaluate the length of…

A: First, find the node to the polar curve by equating r = 0, so cos(3θ)=rcos(3θ)=0(3θ)=-π2,π2θ=-π6,π6…

Q: A playful monkey is sliding down a helical slide. Her position at time t after the start is given by…

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Q: (b) Given that cos (t) Vos(21) sin' (t) Jos(2)" |cos(2t) dy Find for the parametric equation given…

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Q: (b) Prove that 1+ cosh x + cosh 2x coth x sinh x + sinh 2x 1+ cosh 2x + cosh 4x dx Hence evaluate…

A: 4b. Given,

Q: Given a 6t+34 and y 21f2 +122 dx (i) dt (ii) .(write the simplified answer) ||

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Q: 37. The Cartesian equation of the polar curve 2 = 2a' sin 20 is A. 1? + y? = 4a²xy B. (z* + 3° )° =…

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Q: Under suitable assumptions derive one dimensional wave equation.

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Q: For spherical polar coordinate system 1 Z -Zr Zr 3/2 4/2 a exp(-()sin OCoso 2a px a V WmdV = 8 = ?…

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Q: Find a polar equation corresponding to the given rectangular equation. y= 15 1 sec(0) r= 15csc(0) r=…

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Q: 20. Find y" in the parametric equations x = cos 0, y = 2 sin“ 0. A) sec' Otan 0 B) sec 0 C) sin…

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Q: 2 lnt and y: where 1<t<3.

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Q: QI-Replace (x-2) y-4 to equivalent polar coordinate and sketch ir?

A: Since you have posted multiple question in this question which are not interlinked so I have solved…

Q: Questlon a.- Fad the parametric form of the Curve x =a Cos (-)-Jy (zaryo Curve is a reqular Curve…

A: To find the parametric form of the curve,

Q: As illustrated in the accompanying figure, suppose that a rod with one end fixed at the pole of a…

A: A rod with one end fixed at the pole of a polar coordinate system rotates counterclockwise at the…

Q: Consider the Lissajous figure given by the set of parametric equations cos(5t), y = sin(3t). Select…

A: Topic = Derivative

Q: The River debit on the 1st of every month for a year. Month Jan Feb Mar April May June July August…

A: The regression is a technique used to fit a dataset into an equation. A graphing utility can be used…