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Rewrite as arg(z-5) - arg(z-3) = π/6 and let arg(z-5) = b and arg(z-3) = a, so that b-a = π/6Since we know that each argument makes a half line (starting at (3,0) for angle a, (5,0) for angle b) the half ...

First substitute (3x) into the equation for f(x), giving f(3x) = 8 - 9x². This is then equal to -28 and so it is remains to solve the equation 8 - 9x² = -28. This can be written as 9...

1st we note our three methods for solving 1st order differential equation: separating the x and y variables to both sides of the equation, and integrating both sides with respect to x. Recognising an exac...

dy/dx = 2x +32x + 3 = 0x= 3/2(3/2)² + 3(3/2) + 4 = 2.25 + 4.5 + 4 = 10.75

 To simplify this question, it is possible to expand the two elements of the function and then add the two expansions together.First, the expansion of sin(3x) around the origin is sin(30)+d/dx sin(3x)...