The Greek root ology means "the study of." The suffix -ist means "one who studies or practices something." Using those definitio
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<u>Explanation:</u>
The parametric representation of a line segment joining the points (a,b,c) and (l,m,n) is
r(t) = (1-t) . (a,b,c) + t . (l, m, n) where t ∈ |0, 1|
So, the parametric representation of a line segment joining the points (3,0,0) and (3,2,5) is
r(t) = (1 - t) . (3,0,0) + t . (3,2,5) where t ∈ |0, 1|
r(t) = (3(1 - t), 0, 0) + (3t, 2t, 5t) where t ∈ |0, 1|
r(t) = (3, 2t, 5t)
Given:
dr = (0, 2, 5) dt
Substitute = 9 + 29t² = u, 92tdt = du
Limit changes from 0→1 to 9 → 38
On solving this, we get:
Therefore, work done is