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Find All Values of the Nonzero Constant Real Numbers A $\textbf{ irrotational }$

Question 30

Multiple Choice

Find all values of the nonzero constant real numbers a, b, and c so that the vector field F = a cos( $Find all values of the nonzero constant real numbers a, b, and c so that the vector field F = a cos( x + 2y ) cosh (c z) i + b cos ( x + 2y) cosh (c z) j + c sin( x + 2y) sinh(c z) k is both \textbf{ irrotational } and \textbf{ solenoidal } . A) a = - , b = -2, c = 3 B) a = , b = 2, c = 2 C) a = - , b = -2, c = ± 2 D) a = , b = 2, c = ± 3 E) a = , b = -2, c = 9$ x + 2y ) cosh (c z) i + b cos ( $Find all values of the nonzero constant real numbers a, b, and c so that the vector field F = a cos( x + 2y ) cosh (c z) i + b cos ( x + 2y) cosh (c z) j + c sin( x + 2y) sinh(c z) k is both \textbf{ irrotational } and \textbf{ solenoidal } . A) a = - , b = -2, c = 3 B) a = , b = 2, c = 2 C) a = - , b = -2, c = ± 2 D) a = , b = 2, c = ± 3 E) a = , b = -2, c = 9$ x + 2y) cosh (c z) j + c sin( $Find all values of the nonzero constant real numbers a, b, and c so that the vector field F = a cos( x + 2y ) cosh (c z) i + b cos ( x + 2y) cosh (c z) j + c sin( x + 2y) sinh(c z) k is both \textbf{ irrotational } and \textbf{ solenoidal } . A) a = - , b = -2, c = 3 B) a = , b = 2, c = 2 C) a = - , b = -2, c = ± 2 D) a = , b = 2, c = ± 3 E) a = , b = -2, c = 9$ x + 2y) sinh(c z) k is both $\textbf{ irrotational }$ and $\textbf{ solenoidal }$ .

A) a = - $Find all values of the nonzero constant real numbers a, b, and c so that the vector field F = a cos( x + 2y ) cosh (c z) i + b cos ( x + 2y) cosh (c z) j + c sin( x + 2y) sinh(c z) k is both \textbf{ irrotational } and \textbf{ solenoidal } . A) a = - , b = -2, c = 3 B) a = , b = 2, c = 2 C) a = - , b = -2, c = ± 2 D) a = , b = 2, c = ± 3 E) a = , b = -2, c = 9$ , b = -2, c = 3
B) a = $Find all values of the nonzero constant real numbers a, b, and c so that the vector field F = a cos( x + 2y ) cosh (c z) i + b cos ( x + 2y) cosh (c z) j + c sin( x + 2y) sinh(c z) k is both \textbf{ irrotational } and \textbf{ solenoidal } . A) a = - , b = -2, c = 3 B) a = , b = 2, c = 2 C) a = - , b = -2, c = ± 2 D) a = , b = 2, c = ± 3 E) a = , b = -2, c = 9$ , b = 2, c = 2
C) a = - $Find all values of the nonzero constant real numbers a, b, and c so that the vector field F = a cos( x + 2y ) cosh (c z) i + b cos ( x + 2y) cosh (c z) j + c sin( x + 2y) sinh(c z) k is both \textbf{ irrotational } and \textbf{ solenoidal } . A) a = - , b = -2, c = 3 B) a = , b = 2, c = 2 C) a = - , b = -2, c = ± 2 D) a = , b = 2, c = ± 3 E) a = , b = -2, c = 9$ , b = -2, c = $Find all values of the nonzero constant real numbers a, b, and c so that the vector field F = a cos( x + 2y ) cosh (c z) i + b cos ( x + 2y) cosh (c z) j + c sin( x + 2y) sinh(c z) k is both \textbf{ irrotational } and \textbf{ solenoidal } . A) a = - , b = -2, c = 3 B) a = , b = 2, c = 2 C) a = - , b = -2, c = ± 2 D) a = , b = 2, c = ± 3 E) a = , b = -2, c = 9$ ± 2
D) a = $Find all values of the nonzero constant real numbers a, b, and c so that the vector field F = a cos( x + 2y ) cosh (c z) i + b cos ( x + 2y) cosh (c z) j + c sin( x + 2y) sinh(c z) k is both \textbf{ irrotational } and \textbf{ solenoidal } . A) a = - , b = -2, c = 3 B) a = , b = 2, c = 2 C) a = - , b = -2, c = ± 2 D) a = , b = 2, c = ± 3 E) a = , b = -2, c = 9$ , b = 2, c = ± 3
E) a = $Find all values of the nonzero constant real numbers a, b, and c so that the vector field F = a cos( x + 2y ) cosh (c z) i + b cos ( x + 2y) cosh (c z) j + c sin( x + 2y) sinh(c z) k is both \textbf{ irrotational } and \textbf{ solenoidal } . A) a = - , b = -2, c = 3 B) a = , b = 2, c = 2 C) a = - , b = -2, c = ± 2 D) a = , b = 2, c = ± 3 E) a = , b = -2, c = 9$ , b = -2, c = 9

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Find All Values of the Nonzero Constant Real Numbers A irrotational \textbf{ irrotational } irrotational

Find All Values of the Nonzero Constant Real Numbers A $\textbf{ irrotational }$