3. Evaluate LLA" (4- y2) dydx by using polar coordinates.

Q: roo (b) Еxpress e-(2²+y²) dyd.r in terms of d.r, and hence compute e dr.

A: In this question, we express the integral as ∫-∞∞∫-∞∞e-x2-y2dydx  in term of ∫-∞∞e-x2dxand then…

Q: The location of the polar coordinates (1, 3π/4) is in the

A:

Q: 1. Change L xy dydx to polar form.

A: Two common coordinate systems used to represent a point in the plane are cartesian coordinate system…

Q: ). vert the following equation to polar coordinates. Your answer should be expressed in the format r…

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Q: e-(2²+y²) dydI. Use polar coordinates to calculate Le) dydr.

A: In this question, we use the polar coordinate to evaluate the integral ∫-∞∞∫-∞∞e-x2-y2dydxwe…

Q: 9. Transform the equation 2x?+2y?3 into a equa tion. Polar

A: Given

Q: 5. Find two sets of polar coordinates for the Cartesian point (-7, 7/3) such that 0<0<2T.

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Q: 3. Rewrite the polar equation in rectangular, rewrite it either as a conic section or in the form y…

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Q: 1. Change to polar form, then evaluate: -x-1 х — у dydx V1-x² /x² + y² -1

A: Solution is given below..

Q: 5. Convert the polar equation to rectangular equation of the form y = mx + b. Simplify your answer…

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Q: Give two polar representations for the point (x, y) = (0, 1), one with negative r and one with…

A: Check the polar representation.

Q: Find a polar equation corresponding to the given rectangular equation. y= 15 1 sec(0) r= 15csc(0) r=…

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Q: Write a polar equation of the form r sin(0-00) = ro for the line 3 x + y 1. 2mark dentify and draw…

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Q: Choose the graph of the polar equation “ r=1+cos 0" .

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Q: Draw the polar curve to ((x-3)2/32) - (y2/32) = 1

A: We have to draw the polar curves to x-3232-y232=1.

Q: Point in polar coordinates is given. Convert the point to rectangular coordinates (3,2.77) (x, y) =…

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Q: Transform (0, y) from rectangular into polar form (here y is any negative number).

A: We have convert rectangular coordinates (0 , y) into polar coordinates: Where y is negative number-

Q: How do you convert x2+y2 = 16x2-4y2 to a polar equation?

A: THE EXPLANATION HAS BEEN GIVEN IN  THE ATTACHED FILE.

Q: 6. Convert: a) Coordinates of point D(-1,-5) to polar coordinates, r> 0 and 0 <0<2n.

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Q: - Change LAxy dydx to polar form.

A: Consider a cartesian coordinate and polar coordinate . Then the relation between these two…

Q: Q1: convert the Integral So √1-x² (x² + y²)dydx to the polar coordinates. 277

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Q: A curve with polar equation r=(50/(7sin(t)+36cos(t))) represents a line. write this line in…

A: A curve with polar equation  is r=(50/(7sin(t)+36cos(t))).