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I kindly ask for assistance in derivation of the equation for instantaneous power in an electric circuit, P(t) = V(t) I(t). I want to derive it as rigorously as possible. Here's what I got: We start with P = {\bf F} \cdot {\bf v}, where {\bf v} = \frac{d\bf r}{dt} We know that the force...

Conceptually, for two terms you would have: f(t) = A*cos(awt + @) + B*cos(bwt + ß) Take the derivative to find the extreme and equate to 0: d/dt f(t) = -A*sin(awt + @)*aw -B*sin(bwt + ß)*bw = 0 Divide both sides by -w and rearrange -(A*a)/(B*b)*sin(awt + @) = sin(bwt + ß) Now you...

Good day, I have this problem that appeared in some practical problem that I'm working on. I basically want to find the boundaries of a,b,c,d for which the following inequality is satisfied, if a,b,c,d \in ℝ^+ and the inequality is: -2 \cdot d + c - a \cdot (c \cdot d)^2 + a \cdot c +...