I have already done parts ONE and TWO, all I need is part THREE (iii). Please sh

Question

I have already done parts ONE and TWO, all I need is part THREE (iii).

Please show all wok

We can parametrize the curve r = g(theta) using theta as our parameter as with a le theta le Beta. Using the product rule from calculus, show that Using the equations for x' and y' as well as some algebra and trig identities, show that Let f(x, y) be a nice function and let gamma be a polar curve r = g(theta), with alpha le theta le Beta as discussed in (i) and (ii). Using your class notes (line integrals over parametric curves) and parts (i) and (ii), conclude that Let gamma be the loop of the lemniscates (x2 + y2)2 = x2 - y2 located in the first and fourth quadrants. Using the usual formula for polar coordinates x = r cos theta, y = r sin theta, and some trig identities, show that the polar form of this curve is

Explanation / Answer

don't you want iv?

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