Sketch a graph of the region bounded by the graphs of the equations. Inside the circle r = 2 cos(0) and outside the circle r = 1 n/2 A/2 2 2- 2 2 -2H -2- 7/2 1/2

Q: 3. Provide the graph of the sinusoidal function over the interval [0, 24). f(x) = 6 cos + 2 %3D…

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A: solution of the given question is like aS:

Q: (7) Find the lengths of the curve r =2/(1 - cos 0), a/2<0<n.

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Q: a). Find y' if sin(xr+ y)= y² cos x sin(x+ y)= y° cos x cos X by b). Sketch a graph of

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A: The objective is to find the length of the curve.

Q: Inside one loop of the lemniscate r2 = 4 sin 2u

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Q: the length of the curve r = V1+ cos 20 for – -sos.

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Q: Give a rough sketch of the graph of the curve r= 1+ cos40, 0 < 0<2r.

A: The given curve is  r=1+cos 4θ,  0≤θ≤2π

Q: 1. Write down the name of the curves and shade the region that is inside of r = - 6 sine and outside…

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Q: Graph the cardioid r = a(1+ sin®), a< 0?

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Q: Find the arclength of y = 2a + 4 on 0 < a < 4

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Q: Find the total length of an astroid x2/3 + y2/3 = 22/3, which can be parameterised as x = 2 cos³ 0,…

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Q: Q.5: Derive reduction formula of f cot"x dx. Also prove that -cot*x cot2x S cotx dx = + InSinx + C.…

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Q: correct graph of y = sin x, -"sxs 2n and y = csc x, - sxs 2n on the same axis:

A: Solution:

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A:

Q: 5. (a) Carefully graph both r = 3 sin 0 and r = 3 cos 0 and shade the area inside both circles. (b)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Make two separate plots of the function z - 2 sin (1.5x) in the domain -3sxs3 and -3Sys3. 3-D…

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Q: find the mside the r= 2a cos curve of region area the outside the r=Q arcle .

A: From given,we have to find the area of the region inside r=2a cos(theta) and outside r=a

Q: Find the range of y =cos4x - 1. 1 sys 2 1 2 -5 sys3 3 3 sys 2 2 1 <ys 1

A: The graph is shown below:

Q: x. y'"' – y" = x². sin x

A: