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Answer: Curves in space Sketch the curves described by the

Chapter 12, Problem 27RE

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QUESTION:

Curves in space  Sketch the curves described by the following functions. Use analysis and describe the shape of the curve before using a graphing utility.

r(t)=4 cos t i+j+4 sin t k, for \(0 \leq t \leq 2 \pi\)

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QUESTION:

Curves in space  Sketch the curves described by the following functions. Use analysis and describe the shape of the curve before using a graphing utility.

r(t)=4 cos t i+j+4 sin t k, for \(0 \leq t \leq 2 \pi\)

ANSWER:

Solution 27REStep 1:Given curve is r(t) = 4 cos t i + j + 4 sin t k, for 0 t 2From the curve we can say that it is circle with radius 4 in 3D parametric plot

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