(Solved): Conservative Vector fields Lesson4116.3 Conservative vector fields: Problem 6 (1 point) Evaluate \( ...

Lesson4116.3 Conservative vector fields: Problem 6 (1 point) Evaluate \( \iint_{c} 2 x y z d x+x^{2} z d y+x^{2} y d z \) over the path \( c(t)=\left(t^{2}, \sin (\pi t / 4), e^{t^{2}-2 x}\right) \) for \( 0 \leq t \leq 6 \). You have attempted this problem o times. You have unlimited attempts remaining Lesson41 \( 16.3 \) Conservative vector fields: Problem 5 (1 point) Determine whether the vector field \( F=<3 z \sec ^{2}(x), 3 z, 3 y+3 \tan (x)> \) is conservative: Yes No Find a potential function for \( F \). Note: You can earn partial credit on this problem. You have altempled this protyem 2 imes Your overall fecorded score is \( 60 \% \).