Question
Asked Feb 4, 2020
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|T)|
к() -
|r(1) |
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|T)| к() - |r(1) |

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Consider the vector function given below.
r(t) = (13t, 3 cos(t), 3 sin(t))
Exercise (a)
Find the unit tangent and unit normal vectors T(t) and N(t).
Click here to begin!
Exercise (b)
Use this formula to find the curvature.
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Consider the vector function given below. r(t) = (13t, 3 cos(t), 3 sin(t)) Exercise (a) Find the unit tangent and unit normal vectors T(t) and N(t). Click here to begin! Exercise (b) Use this formula to find the curvature.

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Expert Answer

Step 1

From the given information It is required to calculate the unit tangent and unit normal vector for the given vector

Calculus homework question answer, step 1, image 1
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Step 2

Let r(t) be a differential vector valued function and v(t) = r’(t) be the velocity vector. Then define the unit tangent vector in the direction of the velocity vector as:

Calculus homework question answer, step 2, image 1
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Step 3

Now, calculate the v(t) then cal...

Calculus homework question answer, step 3, image 1
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Math

Calculus