3. Use the area formula derived from Green's theorem in order to compute y? the area of the ellipse x2 + 1. (Even though this area can be 16 computed in different ways, here you are asked to use the formula: 1 area(D) x dy – y dx 2 JaD which is derived from Green's theorem

Q: Find the area of the surface. The triangle cut from the plane 2x + 6y + 3z = 6 by the bounding…

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Q: Evaluate ∫ C ( 2 + x^2 y ) d s , where C is the upper half of the unit circle.

A: We have to evaluate the line integral: ∫C2+x2yds where C is the upper half of the unit circle.

Q: Determine the area bounded by the ellipse satisfying:(101x+ 10y)2+ (20x+ 2y)2= 1.

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Q: Use the area formula derived from Green's theorem in order to compute y? the area of the ellipse x2…

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Q: (2) Determine the intersection points of y=-x² +9 and y = 5. Then find the area bounded by this…

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Q: Use Green's theorem to find the area between ellipse 16 = 1 and circle x2 + y2 = 25.

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Q: Find the area of the segment cut off from the parabola x2 = 8y by the line x- 2y + 8 = U. %3D

A: Introduction ::

Q: The shape of a dragonfly wing can be roughly modeled by the shape between the curves y = √x and…

A: see the graph of the functions

Q: Q5:. Calculate the area of the triangle formed by the line 3x-7y+4 =0, and the axes.

A: By using formula of area of triangle and basic geometry. Area of right angle triangle = 1/2(B×H)

Q: Find the area of the circle whose center is at (2, -5) and tangent to the line 4x+3y-8=D0

A: Area of the circle = 9π sq.units

Q: Example: Find the surface area of the curve described by x = t³, y = t², 0<t<1, rotated about the…

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Q: Also: Sketch the region whose area is given by the definite integral, and find the area by using a…

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