Name: ritten Assignment 2 2080 S17 redit will only be given for work shown. ubmi

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Name: ritten Assignment 2 2080 S17 redit will only be given for work shown. ubmit complete solutions, which show all the work needed to justify your answers, on a separate sheet of paper ith this sheet stapled to the front. Points may be lost for work that is not neat, clean and well organized. 1. Consider the vector parameterization of a curve C given by r(t) V1-2 cos(4t), V1-2 sin(4Tt), t (a) Find the largest possible domain for t (b) Show that every point on C sits on the unit sphere:2 + y2 + z2-1. (c) Sketch the projection of C into the zz- and yz-planes. You will need to eliminate t to get equations in either r and z or y and z, and you may need a graphing tool to visualize the resulting curves. Try typing "graph (some equation)" into Google. (d) Try to describe the curve C as it is in 3D. Where does it start? Where does it finish? What does it do in between? Use the projections and the fact that it is glued to the surface of the sphere. Try to include a (rough) 3D sketch of C.

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Actually i solved this question by working hard but i have no idea how to post the ans here..

Sorry for that

Hope you could understand my helplessness

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