Question: [ 4 + 3 points ] Let r ( t ) = ( 3 s i n t ) i + ( 4 t )

[4+3 points] Let r(t)=(3sint)i+(4t)j+(3cost)k be a curve.
(i) Find the arc-length function in the direction of increasing t and then reparametrize the curve with respect to the arc-length starting from the point P(0,0,3)
(ii) Use (i) to find the point 5 units along the curve from the point P(0,0,3).
[ 4 + 3 points ] Let r ( t ) = ( 3 s i n t ) i +

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