Indiana State University Calculus Question

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Please do problems 14 and 15 on the photo. Thank you………………………..

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UF
FLORIDA
Question 14
6 pts
The curve C is defined by r(t) = (4t, 3 sin(t), 3 cos(t)). Find the following.
1. speed =
38
2. principal unit normal vector Ñ(t) = < 294 画] >
©
Question 15
5 pts
~
Given the center of the sphere (-1, 3, 4), find the equation of the sphere if
1. it touches the plane x = 1.
Eq: (x + 1)2 + (y – 3)2 + (z – 4) =
2. it touches the x-axis.
Eq: (x + 1)2 + (y – 3)2 + (z – 4)2 =
its
Question 16
4.5 pts
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Tags:
mathematics

equations

graphing

calculus

vectors

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