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# Consloer the Arnhlmedlan Spiral r = sa+3.s E [0,23] plotted below in black. The tangent to the splral when a = it Is plotted In blue. A parametric...

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Consloer the Arnhlmedlan Spiral r = sa+3.s E [0,23] plotted below in black. The tangent to the splral when a = it Is plotted In blue. A parametric fon'rl oflhls spiral can be found by using : = S as the parameter:
r10} = [(3 + some), (3 +50 sham]. Find the polntaolr) = a E .
The Cartesian equatlon of the tangent to the curve at not} Is 3' = B B.
The Cartesian equatlon of the normal to the curve at 0(3) Is .v = a B. Note: the Maple syntax for [3, a] is [91, o] and you may ﬁnd concepts from the previous Week 9 topic useful here.

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Cartesian equation of tangent at point ﻿ a ( π ) ﻿ will be: ﻿ y = ​ 5 π... View the full answer

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