Consider the vector function F(x, y, z) = x²y² z+ 5xz xz2 -> y3/27 - - -k 4 and calculate the divergence of F.
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- Find a nonzero vector parallel to the line of intersection of the two planes 5y – 4x + z =-1 and – (x + 4z) = -5.Suppose that r1(t) and r2(t) are vector-valued functions in 2-space. Explain why solving the equation r1(t)=r2(t) may not produce all the points where the graphs of these functions intersect. Please Provide Unique Answer. Thank you!Q/Find the real values of a, b, c that make the convolution equal to zero for the vector function F(x, y, z) = (2az + y – 5x)i + (2x – z + 2cy)k + (y + 2bx + 3z)j