Show proofs of Archimedes theorem that the area of a circle = pir^2

Q: What is the equation of the unit circle? x^2 + y^2 =sin^2 x^2 + y^2 =1^2 x^2 + y^2 =sin^2 + cos^2…

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Q: (1 point) Find the area lying outsider = 2 sin 0 and inside r = 1 + sin 0. Area =

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Q: Au (Bnc)} = (cu B)nA' QL Show that

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Q: Integrate the y^2 = 4x^2 (1 - x

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: what is the imaginary part of the quantity z=i-4/2i-3 x e^ipie/2

A: To find: The imaginary part of the quantity z=i−42i−3×eiπ/2...Evaluating…

Q: )  to cut the circle x^2+y^2=a^2 at A and B then find the valu

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Q: epression ((6x^(3)y^(-4)x^(6))/(x^(2)y^(3)x^(-4)))^(3) as an equival.

A: The expression is given by 6x3y-4x6x2y3x-43 To determine: The equivalent expression.

Q: Find the area inside the 'figure eight'r = 1+ cos 20 and outside the circle r = 1.

A: Area inside r = 1 + cos2θ and outside r = 1 is shown by shaded region.

Q: Find the area between two curves: y=2x-x^2+3 y=x^2-4x+3 Show steps of calculation.

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Q: How do you find area under the curve?

A: y=12cosh(2x)

Q: Find d/dx (arcsin (π/x^2))

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Q: _calcu'ate Calculate the valueof of In Cie)

A: We know that  ln(ab)=ln(a) + ln(b)

Q: 6. Add 6e^0.25i to 2e^-1.33i. Simplify your answer in rectangular form (the j form). Round off…

A: Given numbers are                                           z1=6e0.25iz2=2e-1.33i these are in the…

Q: Find the area bounded by the curve and perimeter when r^2= a sin theta (1 + sin theta). Show graph…

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Q: The area of the region that lies inside r = sin0 and outside r=1 cos60 is given by:

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Q: sec Vn du in

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Q: 40 ft What is the volume of the square pyramid above given v = (1/3)(B)(h) ? O 100 ft^3 O 200 ft^3…

A: Option d is correct.

Q: Prove that: sinhx + coshx = e* %3D

A: we have  sinh(x)=ex-e-x2cosh(x)=ex+e-x2