Problem 7. [5 pts] Consider the scalar field f: R R such that f(x) = ||x||7....

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Problem 7. [5 pts] Consider the scalar field f: R R such that f(x) = ||x||7. Compute the gradient of f. Vf(x) = Problem 8. [10 pts] Consider the scalar field : R \ {0} the gradient of f. Vf(x) = R such that f(x) = ln ||x||. Compute Problem 9. [20 pts] Consider the vector field F : R R such that F(x) = ||x||7x. Compute the divergence of F and the curl of F. V.F(x) = V F(x) = Problem 7. [5 pts] Consider the scalar field f: R R such that f(x) = ||x||7. Compute the gradient of f. Vf(x) = Problem 8. [10 pts] Consider the scalar field : R \ {0} the gradient of f. Vf(x) = R such that f(x) = ln ||x||. Compute Problem 9. [20 pts] Consider the vector field F : R R such that F(x) = ||x||7x. Compute the divergence of F and the curl of F. V.F(x) = V F(x) =