WEBVTT
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For this exercise, we have to find the vector
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function that represents the curve of intersection of two surfaces
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. And those surfaces are X squared plus y squared
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equals one a cylinder n z squared r Z equals
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x squared minus y squared. So since we know
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that co sign squared of theta plus sine squared of
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theta equals one, this implies that X equals co
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sign of T and why equals sanity? Then we
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can substitute this equation in for the Z equals X
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squared plus y squared here. So what we end
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up getting is that Z equals ico sine squared of
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T minus the sine squared of T, which is
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equal to co sign of two t Then that gives
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us the vector function that we're looking for, which
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is our f t equals co sign of T I
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flash sign he Jay plus co sign to t.
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K. Because we got this Z value from combining
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them. And we already determined the X and the
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Y values, which is r i n r j
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. Based on the fact, um, that we
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knew that coastline squared of data post sine squared of
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theta equals one