- #1
fball558
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Tangent function vector?
i know the formula for this problem. My homework was to like 5 of these and got the other 4. now stuck on the algebra part. please take a look and let me know where to go from here.
problem is
consider the vector function given below:
r(t) = <8sqrt(2)t, e^(-8t), e^(8t)> only the 2 in the x cordinate is square root
find the unit tangen vector
it will be r'(t) / |r'(t)|
derivative of r(t) = 8sqrt(2) , -8e^(-8t) , 8e^(8t)
then i get stuck on the magnitude of this. i know it is each component squared then square root of all them added togeather.
i get
128 + 64e^(-64t) + 64e^(64t)
then square root this whole thing.
im not sure how to simplify the whole e thing.
any help would be great!
thanks
Homework Statement
i know the formula for this problem. My homework was to like 5 of these and got the other 4. now stuck on the algebra part. please take a look and let me know where to go from here.
problem is
consider the vector function given below:
r(t) = <8sqrt(2)t, e^(-8t), e^(8t)> only the 2 in the x cordinate is square root
find the unit tangen vector
it will be r'(t) / |r'(t)|
derivative of r(t) = 8sqrt(2) , -8e^(-8t) , 8e^(8t)
then i get stuck on the magnitude of this. i know it is each component squared then square root of all them added togeather.
i get
128 + 64e^(-64t) + 64e^(64t)
then square root this whole thing.
im not sure how to simplify the whole e thing.
any help would be great!
thanks