The monkey saddle z = x³ - 3xy² can be intersected with the cylinder x² + y² = 1 to produce the curve shown in blue. The next few questions pertain to this curve. -10 Which vector function parametrizes this curve? (It may be helpful to use the identity cos 30 cos³ - cos 0 sin²0.) Or(t) =< cost, sint, cos 3t>, t = [0, 2π] Or(t) =< cost, sin 3t, cost >, t€ [0, 2π] Or(t) =< cos 3t, sin 3t, cos 3t >, t€ [0, 2n/3] r(t): =< cos 3t, sint, cost >, t€ [0, 2n] 16) What are the maximum and minimum distances of points on this curve from the origin? 1c) If a solenoidal force field F=<-y, x, 0> moves a particle once around this curve, counterclockwise as viewed from above the xy-plane, how much work does it do?

Q: -48 6

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A: Explanation and solutions is given below.....

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A: Find the term indicated in the expansion (x + 2y)6; third term.

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A: Compute the simplest form of 50/21.That is, divide 50 by 21.

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A: Sum of numbers

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A: o expand the binomial expression (x² - 3)^4, we can use the binomial theorem which states that: (a +…

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