a) Write the following equations in Cartesian coordinates and identify the figures they describe. i) r= cscocot0 (Cylindrical coordinates) ii) cotø = cose – 3 sin0. (Spherical coordinates) x² + y? if...

a) Write the following equations in Cartesian coordinates and identify the figures they<br>describe.<br>i) r= cscocot0 (Cylindrical coordinates)<br>ii) cotø = cose – 3 sin0. (Spherical coordinates)<br>x² + y?<br>if (x, y) # (0, 0)<br>b) Let f(x, y) = { Vx² + y² +1-1<br>Find the value of b (if<br>b<br>if (x, y) = (0, 0)<br>possible) for which f is continuous at all the points in R?.<br>

Extracted text: a) Write the following equations in Cartesian coordinates and identify the figures they describe. i) r= cscocot0 (Cylindrical coordinates) ii) cotø = cose – 3 sin0. (Spherical coordinates) x² + y? if (x, y) # (0, 0) b) Let f(x, y) = { Vx² + y² +1-1 Find the value of b (if b if (x, y) = (0, 0) possible) for which f is continuous at all the points in R?.

Jun 04, 2022

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a) Write the following equations in Cartesian coordinates and identify the figures they describe. i) r= cscocot0 (Cylindrical coordinates) ii) cotø = cose – 3 sin0. (Spherical coordinates) x² + y? if...

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