10. Derive CRE in polar coordinates Ur = r-1v0 ug = -rvr Using x = r cos 0 and y = r sin 0 and chain rule ди дх дх дү ди Ər ди дө ὃν ər ὃν дө = || = ди дх дх дө + dvdx дх дө + ди ду ду дә dvdx до ду -+ дх дr ' ду дr дә + диду ду дө до ду ду дө

Q: Draw the polar curve given by r^2 = 4sin(30). Show any necessary computations. No calculator.

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Q: Convert the Cartesisan equations x^(2) = 9y and x^(2) - y^(2) =x into polar equations.

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Q: #2) Convert each of rectangular pair coordinates to polar coordinates where r> o and o 4o < Zx. part…

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Q: 4. Explain how to convert 2² 2² 2² dz2' 7²= + дх2 ' дуг in the Cartesian coordinates system to + 10…

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Q: 2. Give 3 other representation of the polar coordinate (changing the sign of r at least once). (2)

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Q: If B (-2, 6) is rotated 270°, what are the coordinates of B'? O B'(2, 6) O B'(-6, -2) O B'(-6, 2) O…

A: In first quadrant x, y both are positive In second quadrant x is negative y is positive In third…

Q: 8. The point ( 5, can also be represented by which of the following polar coordinates? » (s -) s-똥)…

A: Given, Polar Coordinates 5,π6

Q: Eliminate the parameter and find a corresponding rectangular equation  x=2 cos theta y=cos^2 theta…

A: The given parametric equations are as follows. x=2cosθ…

Q: 3. Consider the Cartesian equation x - y = 2x²y - 2xy², show that its polar form is given by the…

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