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QUESTION

A table of values of a function f with continuous gradient is given. Find   C ∇f · dr, where C has the parametric equations below. x = t3 + 1 y = t3 + t 0 ≤ t ≤ 1 x\y012019214572928

A table of values of a function f with continuous gradient is given. Find 

C

∇f · dr,

 where C has the parametric equations below.

x = t3 + 1      y = t3 + t      0 ≤ t ≤ 1

x\y012019214572928

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* ** *********** ** *** ****** ******** r(t) = (t * * 1)i * ** * + t)j ≤ t *** 1 ** * *** *** * ** * i * (3t * * *** ***** ** 2 + * ** ** **** r *** (t) ** **** * ** a ****** ***** **** ** ********** *** ***** f ** differentiable ** ** **** R * **** ** ** * ******* *** f(r(0)) * *** 2) *** *** 0) = * − 4 = *

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