You are flying a kite and have let out 100 feet of string. The kite string makes a 45º angle with the horizon, and your height is 6 feet. Part a: Determine k. Part b: How high in the sky is the kite? Include units and round decimals to two places.

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Q: (a) Prove that the vector field F(x, y, z) = (x² + y2)i - 2y(x+z)j + (xy+2²)k is incompressible, and…

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A: Plot the graph of the given function.

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Q: Find a 3 x 3 matrix A that has eigenvalues 3, 5 and -4 with -3 -3 1 2 and ][- E Number Number Number…

A: For a matrix A with eigenvalues λ1, λ2, λ3 and eigenvectors v1, v2, v3 , matrix A can be written as…

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Q: Question Three (a) Prove that F(x, y, z) = (y² cos1+=³)i+(2y sin x−4)j+(3zz+2)k is a conservative…

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A: Since there are many problems, therefore find the solution of first (a) part.

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Q: Can I get assistance with (c) as well

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A: Let x be the P 1000 bill y be the P 500 bill and z be the 200 bill 1000x+500y+200z=6300…

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Q: 1. (a) (b) Let W be a subspace of M2x2(F) consisting of the symmetric 2x2 matrices. Please find a…

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Q: 12. Solve each of these congruences using the modular in- verses found in parts (b), (c), and (d) of…

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Q: (c) Let S be a surface described by x² + y² + 3z² = 1, z ≤ 0, and let F(x, y, z)= yi-xj+zx³y²k.…

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Q: 2 Obtain a power series solution of the equation (1+x²)y" - 3xy' - 5y = 0 up to and including the…

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Q: SSSRf(x,y,z)dxdydz

A: To Express: The triple integral ∫∫∫Rf(x,y,z)dV  where R is the solid bounded by the curves y=x2 ,…

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