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Let F = F(x, Y, Z) I + G(x, Y

Question 55

Multiple Choice

Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials.


A) Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials. A) + + B) - - - C) + + D) 0 E) - + + Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials. A) + + B) - - - C) + + D) 0 E) - + + Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials. A) + + B) - - - C) + + D) 0 E) - +
B) - Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials. A) + + B) - - - C) + + D) 0 E) - + - Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials. A) + + B) - - - C) + + D) 0 E) - + - Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials. A) + + B) - - - C) + + D) 0 E) - +
C) Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials. A) + + B) - - - C) + + D) 0 E) - + + Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials. A) + + B) - - - C) + + D) 0 E) - + + Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials. A) + + B) - - - C) + + D) 0 E) - +
D) 0
E) Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials. A) + + B) - - - C) + + D) 0 E) - + - Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials. A) + + B) - - - C) + + D) 0 E) - + + Let F = f(x, y, z) i + g(x, y, z) j + h(x, y, z) k be a vector field in 3-space whose components f, g, and h have continuous second partial derivatives. Calculate div curl F in terms of those partials. A) + + B) - - - C) + + D) 0 E) - +

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