5. Find the length of the curve r = e", - n<0 < n given in polar coordinates. V5 sinh(2z) b)V5 sinh(27) c)2V5 sinh(2r) d)2 sinh(27) e) sinh(2z) a) 201 b) d)

Q: . Which of the following is the equation of the tangent at the point 0 = 3 line to the polar curver…

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Q: 6. What is the equation of the polar curve shown? a) r = -4 sin 30 c) r = 4 cos 30 b) r = 4 sin 30…

A: Since you have asked multiple question so we will be answering only first question. Given polar…

Q: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

A: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

Q: 3. a) Find polar coordinates (r, 0) of the point (1, -/3), where r> 0 and 0 <0 < 2 p2 = x² + y?, tan…

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Q: (10) Let r(t) = (e'cos 2t, et sin 2t, e2t) %3D a) The curve lies on a quadric surface. Give the…

A: Let y(t) = ( et cos 2t , et sin 2t , e2t ) . Then, we have to identify the quadric surface and it's…

Q: Consider the polar curves C₁ : r = 2 - cas 0 and C₂: r = 2 + 2 cos 0, 0 € [0, 2πC). (1.) Show that…

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Q: Consider the curve C of equation (2x² – y + y³)² = a² + y? From the choices given, select the one…

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Q: The polar equation r = a+a cos 8, where a > 0, has a tangent line at (0, 7)

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Q: Find the length of the curve given in polar form as r= e,- <o<a a)2/2 sinh(7) b)sinh(") c)2 sinh(7)…

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Q: 3 Evaluate the integral cos(x² + y²)dydx by converting to polar coordinates 0 0

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Q: 13) Find as all polar points (r, 0) of horizontal and vertical tangency to the curve: x = cos(20) y…

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Q: b) A particle moves in simple harmonic motion according to the equation, s = 0 x Acos(wt)+ 0 ×…

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Q: A tangent at the pole to the polar curve r = is 2-4 sin 0 A 0 = = af pole usin6-2 Sing D 0=

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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: . Find a cartesian equation for the given parametric equations: a) x = t2 – 4 and y =t+1 b) x = 2…

A: Eliminating t

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

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin * +0) in…

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Q: The Cartesian equation (x – 10)² + y? = 0 in polar form. %3D c) r = -10 cos 0 d) r = -20 cos 0 a) r…

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Q: Find the coordinates of L" if ALMN with L(1, 2), M(-2, 6), and N(-1, 5) is rotated 90° about the…

A: Given: L(1,2) , M(-2,6), and N(-1,5)

Q: The height of a chair on a Ferris wheel is given by h 5.7 sin (0. 21t – 1.58) +7.9 - where h is the…

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Q: Calculate y' and y" at the point (1, 1) on the curve 5xy² + 8y – 13 = 0. (Give your answers as exact…

A: Given 5xy2+8y-13=0 at 1,1

Q: Plot the following curves in polar coordinates. 50 (52) 1. r = 2 + cos

A: We have to graph the given polar curve.   According to our guidelines we can solve only one question…

Q: Find the length of the curve T=e* 30 T<0<T given in polar coordinates. a) V10 sinh(37) b)2/10…

A: Power rule ddnxn=nxn-1 Length of a curve with equation r=fθ , a≤θ≤b is given by  L=∫abr2+[drdθ]2dθ

Q: in the rang xis by 360

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r 2 sin (+0) in…

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Q: 3 19-x ? 2 b) Use the polar coordinate to find the integral J ] sin(x´+y´) dydx -3

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