A) Use Green's theorem to compute the area inside the = 1. 2² y² ellipse + 19² 14² Use the fact that the area can be written as

Q: A line segment of length a + b runs from the x-axis to the y-axis. The point P on the segment lies a…

A: Given A line segment of length a + b runs from the x-axis to the y-axis. The point P on the segment…

Q: 3. Find the right triangle of largest area inscribed under the parabola y = 4 – r² with its base…

A: Given: y=4-x2 Vertex of the parabola will be at 0,4 and the points where parabola intersect the…

Q: The vertical ends of a cylindrical tank are in the form of ellipses with major and minor axes of…

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Q: Diagram 8 shows two flavours of ice cream in cylindrical container. Two scoop of vanilla and one…

A: First calculate the volume of cylinder , Given that , h=7cm, r=14cm Vcylinder=2πrh=2×227×7×14=616…

Q: The entrance to a hall is in the form of a semi-ellipse 6 m wide at the bottom and 4 m high. 1. Draw…

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Q: For an ellipse which every point represented by i = a cose î + bsin0 ĵ , calculate the area using $r…

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Q: Show that if P is a point on an ellipse with foci F1 and F2, directrices d1 and d2 and eccentricity…

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Q: Question 20 Find the area of the ellipse 2x? + 20y² = 40. а) О 10/2л b) 04/5л c) O 2VI07 d) О 20/2л…

A: Find the area

Q: An archway has a cross section, with a curved top in the shape a semi-ellipse. The measurements of…

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Q: Find the formula of the area of ellipse using calculus integrals

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Q: and

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Q: Mr. Yang's rugby team is facing the fighting bees next week. For the equation (x^2/a^2)+(y^2/b^2)=1…

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Q: 2. A trucking company needs to determine whether a house trailer will fit that has an opening shaped…

A: In this question we will use basic of calculus i.e concept of parabolic curve. We will first find…

Q: ái) Taka u flection in x- axis shift I unit opew and : y= -2 (x+3)*+1. S -1 -3 -2 -1 Vortical y…

A: topic - domain and range of parabola

Q: Calculate the area of ​​a rhombus that has the major diagonal of 45cm and the minor 2/5 of the major

A: We have to calculate the area of ​​a rhombus.

Q: 4) Use integration to find the area of the ellipse 4x² + y² = 9.

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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: 2. A light bullb is designed as a sphere of radius a inch with the bottom sliced off to fi. onto a…

A: We need to find surface area of spherical part.

Q: 4 SKetch the parabola and label the foces , ventees and dineder 2. 4 -6y -2utl=0

A: To find- Vertex, focus and directrix of a given parabola.

Q: A certain parabolic monument has a base that is a parabola ( y=−.5x2+8y=−.5x2+8 ) And a front…

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Q: From any point (N) on a hyperbola, the combined distances to the foci (f1 and f2) is equal to what?

A: A hyperbola is two curves that are like infinite bows. Looking at just one of the curves: any point…

Q: Find the area of the region in the 2nd quadrant which is bounded by the parabola y = x² + 1 and the…

A: Given:1. The parabola equation: .2. The line equation: To find:The area of the region in the 2nd…

Q: Find the area of the trapezoid in which the sum of its two bases is 0.14m and its altitude is 0.07m.

A: Using area of trapezoid formula.

Q: A company wants to build a cylindric closed petroleum barrel with 4 feet height in a way that the…

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Q: 2 1.² + a² 6² 1² Find the area enclosed by the ellipse x² that the area common to ellipse a² b² 2…

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Q: 5) Using transformation and integration, find the area of the region that is enclosed by the ellipse…

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Q: What is the area of the ellipse with vertices (0,±7) and foci (0,±3)?

A: We know that the equation of ellipse has the standard form as given below: x2a2+y2b2=1 where a and b…