Next Consider the two vector-valued functions given by r(t) = (t+1, cos 1+t w(+) = (*, sin() *) . a. Determine the point of intersection of the curves generated by r(t) and w(s). To do so, you will have to find values of a and b that result in r(a) and w(b) being the same vector. p. Use the value of a you determined in (a) to find a vector form of the tangent line to r(t) at the point where t =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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14. Consider the two vector-valued functions given by
1
r(t) = (t+1, cos
1+t
and
w(s) = (s, sin
(), ).
a. Determine the point of intersection of the curves generated by r(t) and
w(s). To do so, you will have to find values of a and b that result in r(a)
and w(b) being the same vector.
b. Use the value of a you determined in (a) to find a vector form of the
tangent line to r(t) at the point where t = a.
Transcribed Image Text:< Prev A Up Next > 14. Consider the two vector-valued functions given by 1 r(t) = (t+1, cos 1+t and w(s) = (s, sin (), ). a. Determine the point of intersection of the curves generated by r(t) and w(s). To do so, you will have to find values of a and b that result in r(a) and w(b) being the same vector. b. Use the value of a you determined in (a) to find a vector form of the tangent line to r(t) at the point where t = a.
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