Consider the following. r(t) = (9− t)i + (7t − 6)j + 4tk, P(8, 1, 4) (a) Find the arc length function s(t) for the curve measured from the point P in the direction of increasing t. s(t) = √ 42 (t-1) X Reparametrize the curve with respect to arc length starting from P. (Enter your answer in terms of s.) 5s 20 (8-) + (+¹) + (+4)** +1 42 √42 42 r(t(s)) = (b) Find the point 5 units along the curve (in the direction of increasing t) from P. 5 5 20 (x, y, z) = nos - (( - ) + ( + 1) + (+4)*) 8 i+ 42 42 42

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