Which integral computes the circumference of the ellipse + y° = 1? %3| 2 16 — За? dx 16 — 4г2 2 -2 2 16 — 4г2 da 2

Q: 3Q: If z₁ = 1.5 cisand z₂ = 4 cis(-7) find and express it in the rectangular form.

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Q: S52² +32° +22²-32 +2) dz

A: Solving the problem by finding the value of integration.

Q: 2 A -3 -1 -1 -2 The midpoint of AB = ([ ? ], [ ])

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Q: A straight line touches the rectangular hyperbola 9x² -9y² = 8 and the parabola y =32x. the equation…

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Q: Complete the square method: Show all your work! Put x² + y² 10x + 6y 15 = 0 in center radius form.…

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Q: Find an equation of the diameter of circle x²+y²-6x+2y-15=0 which when produced passes through the…

A: Given, Equation of the circle x2 +y2 -6x+2y-15 =0  We have to find the equation of the diameter of…

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Q,9. What point on the parabola y = v2x + 5 comes closest to the ori

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Q: 19) Find the distance between these two points. (-8, 5) and (15, -9) Use the formula: d = square…

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Q: could you please show the steps of how you obtained that rectangular equation? thank you!

A: As per the question we are given the equation of an ellipse in parametric form, and we have to find…

Q: q13.2 You have been given the following equation of a sphere (x^2) + (y^2) + (z^2) - 6x + 4z = 3…

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Q: The parabola y = Px² + Qx + R_passes through the coordinate (1,1) and has b. Determine the values of…

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Q: Find the point on the ellipse x² + 6y² + 3xy = 40 with the greatest x-coordinate. (Use decimal…

A: We have to find the point on the ellipsex2+6y2+3xy = 40With the greatest x-coordinate.For this we…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.