By sketching the surface that has equation x2 + y2 - z2 = 0, show that the parametric curve r(t) = (3t cos(3t), 3t sin(3t), 3t) lies on that surface.

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Q: Without using a graphing utility, show that the parametric curve r(t) = (3t cos(3t), 3t sin(3t), 3t)…

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Q: i y-jx x* + y* Q.5 (a) Compute |F.dr, where F and c is the circle x + y = 1 Use parametric equations…

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A: The parametric equations are, x=1t3 y=t2-t   Differentiate x=1t3 with respect to t. dxdt=ddx1t3=-3t4…

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Q: Find the length of the parametric curve x = 2t + 1, y = 3 + 2tž, 0 < t <%.

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