3.56 Determine if each of the following vector fields is solenoidal, conservative, or both: (a) A = x² - 2xy (b) B = r²-ŷy² + 22z (c) C = f(sin 6)/r² + $(cos) /r² *(d) D=R/R (e) E = f (3 − ¹ ) + 2z (f) F = xy+ỷx)/(2+y2) (g) G = x(x² + z²) − ŷ(y² + x²) — 2(y² + z²) (h) H = R(Re-R)
3.56 Determine if each of the following vector fields is solenoidal, conservative, or both: (a) A = x² - 2xy (b) B = r²-ŷy² + 22z (c) C = f(sin 6)/r² + $(cos) /r² *(d) D=R/R (e) E = f (3 − ¹ ) + 2z (f) F = xy+ỷx)/(2+y2) (g) G = x(x² + z²) − ŷ(y² + x²) — 2(y² + z²) (h) H = R(Re-R)
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Help me with only h part( last one , thanks with explanation)
Transcribed Image Text:3.56 Determine if each of the following vector fields is
solenoidal, conservative, or both:
(a) A = x² – 2xy
(b) B = x² - y² + 22z
(c) C = f(sin ø)/r² + $(cos ¢)/r²
*(d) D = R/R
(e) E = f (3-1) + 2z
—)
(†) F = (ŵy + ŷx)/(x² + y²)
(g) G = â(x² + z²) − ŷ(y² + x²) – 2(y² + z²)
(h) H= R(Re-R)
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