Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. 3 cos(t)i + 3 sin(t)j r(t) k =

Q: (9.) r(t) = (1, cos t, 2 sin t)

A: As per your query the solution of question no 9 is given the next step.

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A: Solution of question is written in step2.

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A: Givenr(t) = <3t-3 , t2+4>

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Q: 8. r(t) (sin Tt, t, coS Tt)

A: As per your query the solution of question no 8 is given in the next step.

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A: Note : There are many questions in the above image. So I will answer the first question and…

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A: Introduction: Like two dimensional Euclidean geometry, a line can also be drawn in three dimensional…