Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (enter your answer in terms of s.) r(t) = 3t i + (7 − 4t) j + (3 + 2t) k

The curve is given by r(s)=

Step-by-step explanation:

The aec length of the curve is given by:

L=

r(t) = 3t i + (7 − 4t) j + (3 + 2t) k

r'(t)= 3 i -4 j + 2 k

|r'(t)|=

L=

L=

s(t)=

We have to obtain t in terms of s, hence:

t=

Finally,

r(s)=

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.