Find the area of the given region analytically. Common interior of r = 3 – 2 sin 0 and r = -3 + 2 sin e

Q: Find the area of the region shared by the cardiods r=12(1+cosθ) and r=12(1-cosθ)

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Q: Find the area of the shaded region. r = 6+5 cos

A: Introduction: The formula of the area inside the curve r=f(θ) is given by, A=∬rdrdθ Where limit of…

Q: Find the area of the region enclosed by one loop of the curve. r = 8 sin(30)

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Q: Find the area of the region common to the circles r= - 2 cos 0 and r= 1.

A: Given, r = -2cosθ, r=1point of intersection-2cosθ=1 ⇒cosθ=-12⇒θ=π-π3, π+π3    =2π3, 4π3

Q: Find the area inside the large loop and outside the small loop of r = 1 + 5 sin(θ)

A: Given, r=1+5sinθ Firstly, sketch the graph of the region to find the area.

Q: Find the area of the region of intersection of the curves r = 4+3 cos 0 and r = 2 cos 0. Identify…

A: The given curves are r=4+3cosθ and r=2-cosθ. To Find: (i) The area of the region of intersection of…

Q: Find the area of the region inside 2 petals of the rose r = sin 80

A: Solution :-

Q: Differential equations method: method variation a) y" - 2y + y = x5 b) y" - y' - 2y = e3x|

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