f(x,y) = /1+9ry, y = r³ for 0 < x < 1. (line integral for a function of two variables is computed the same way as a function of three variables, except C is on the ry– plane.

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help on C and D please

(3) Compute
f ds over the curve specified.
(a) f(x, y, z) = 2²,r(t) =< 2t, 3t, 4t > for 0 <t< 2
(b) f(x, y, z) = 2a² + 8z, r(t) =< e', t², t > for 0 <t < 1
For these last two problems find r(t) by parametrizing C.
(c) f(x, y) = VI+ 9æy, y = x³ for 0 < x < 1. (line integral for a function
of two variables is computed the same way as a function of three variables,
except C is on the xy- plane.
(d) f(x, y, z) = x + yz, and C is the line segment from P = (0,0,0) to
(6, 2, 2).
Transcribed Image Text:(3) Compute f ds over the curve specified. (a) f(x, y, z) = 2²,r(t) =< 2t, 3t, 4t > for 0 <t< 2 (b) f(x, y, z) = 2a² + 8z, r(t) =< e', t², t > for 0 <t < 1 For these last two problems find r(t) by parametrizing C. (c) f(x, y) = VI+ 9æy, y = x³ for 0 < x < 1. (line integral for a function of two variables is computed the same way as a function of three variables, except C is on the xy- plane. (d) f(x, y, z) = x + yz, and C is the line segment from P = (0,0,0) to (6, 2, 2).
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