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

Q: Evaluate e-y dy da by converting to polar coordinates.

A: Given: ∫-22∫04-x2e-x2-y2dydx We want to evaluate above integral 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: Evaluate L₂Lova (4-3²) dydx -√4-x² by using polar coordinates.

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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: 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: The polar equation 9 cos 0 +2 sin0 = in Cartesian form is defined by I Y A. C. 9x +2y=1 +/-/22 - 1 9…

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Q: Convert to polar form. Then isolate r. (a) x² +y² -9= 0 (b) x² +y = 4x %3D

A: x2+y2-9=0 On simplification, we get ⇒x2+y2=9⇒r2=9         ∵r=x2+y2⇒r2=x2+y2⇒r=3

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: 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: Choose True if the statement is correct, otherwise False. The point (-13,–1107/4) is located between…

A: To convert the polar coordinates to the rectangular coordinates the formula used are x=rcos(θ),…

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: Q5/ Change the polar equation 2r = 2 + cos 0.(2r-1) to Cartesian equation Ans./y²-3x² - 4x-1=0

A: To find- Change the polar equation 2r = 2 + cosθ·2r - 1 to Cartesian equation.

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: 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: Rewrite the Cartesian equation (x – 5)² + y² = 25 as a polar equation. r(0) = Preview %3D

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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))).