Question 6: (6 points) Format: • If your answer below is a vector, input it as a column vector using the vector/matrix palette tool. • The letter e will be recognised

as Euler's number. • Use * to explicitly indicate multiplication between variables and other variables, between variables and brackets, or between sets of brackets (e.g. x*y rather than xy; 2*(x+y) rather than 2(x+y)). • Put arguments of functions in brackets (e.g. sin(x) rather than sin x). Give your answers in exact form. Consider the scalar field a. Show/hide Calculate the gradient of . Vo = b. Show/hide Calculate the Laplacian of . 7²6 = c. Show/hide p(x, y, z) = sin(-2) sin(x) + 19 Is this field harmonic? Yes [] No [] 1