Recent content by implet

Hi, Homework Statement You are trying to design a circuit with 3 inputs and 3 outputs. The circuit should negate each of its inputs. e.g. A-> not A, B-> not B, C-> not C. Clearly we can do this using 3 'not' gate. Is it possible to do this using 2 'not' gates and an unlimited number of...

Hi, This is a question in my calculus book that is frustrating me! By changing variables to u and v, where u=\alpha(x)y and v=y/x with a suitable function \alpha(x) to be determined, find the general solution of the equation x\frac{\partial f}{\partial x} - 2y\frac{\partial f}{\partial...

Homework Statement "A solid cone is bounded by the surface \theta=\alpha in spherical polar coordinates and the surface z=a. Its mass density is p_0\cos(\theta). By evaluating a volume integral find the mass of the cone. Homework Equations The Attempt at a Solution I can't figure...

Homework Statement "A particle at position {\mathbf r} experiences a force (ar^{-3}+br^{-4}){\mathbf r}. Sketch the potential as a function of r in the different cases that arise according to the signs of a and b." Homework Equations -\nabla {\mathbf V} = {\mathbf F} The Attempt at...