Question

2 -2 points LarsonET5 15.3.014. Find the value of the line integral Foor (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x, y) = 2xy_1 + 7xyj (a) r(t) = 1 + 1, ists3 (b) r2(t) = (t + 1)2 - 4 - 3), o stsz Need Help? Readle Talk to a Tutor Submit Answer Practice Another Version

Answer 1

F(X,Y) = 2xy? + 7?y j amit ti tij It! 3 Fodra f(x) dr at dt Along C: Xet, ya Along ci + 7tj s Fidre [ i+7+j) (tit tj) dt - [21n ct) – 7 inct)) 21n(t)- in (t) = 2ln (3) -7 In (3) - (21n (1)-711617) - - 5 In (3) - 0 - 5 in (3)

©Y (DE (t + i- (+3) jesti? F. dr as f(x) dor dt. dt Along c; x = ++, y Along c. (t - 3) f = 2 ay2 i + 7x²y; 22(t+1) Elt-3)); +7(+ +12 - < (4-3) j + (t+1)(+- 6t+g) - C++ 2+ +1) (-3); 2 [+26+2+g++ t?- 6t+g7 i I +2+2+2++-3 -65-3); 2 [Lº-st' + 3+ + g); -} [4**'- 53 -3) se dr af{[tº_stº+ 3+ + 1]; -]{+-+-57-3}j (tai -t=3]j].dt

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