Calculating power factor. Sinusoidal voltage and current at the same frequency can be represented as complex numbers. Complex power is the product of complex voltage and the complex conjugate of the complex current. Power factor is the cosine of the angle of the complex power and measures the efficiency of power transfer from a source to a load circuit. Complete the function below to calculate power factor. Function Save Reset MATLAB DocumentationOpens in new tab function powerFactor = CalculatePowerFactor( complexVoltage, complexCurrent) % : Calculate power factor given complex voltage % and current. % Inputs: complexVoltage - complex number representing sinusoidal voltage % complexCurrent - complex number representing sinusoidal current % % Outputs: powerFactor - cosine of the angle of complex power % Assign complexPower to product of complex voltage and conjugate of % complex current complexPower = 0; % FIXME % Assign powerAngle to angle of complex power powerAngle = 0; % FIXME % Assign powerFactor to cosine of powerAngle; powerFactor = 1; % FIXME end 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Code to call your function

The idea that, for each pair of devices v and w, there’s a strict dichotomy between being “in range” or “out of range” is a simplified abstraction. more accurately, there’s a power decay function f (·) that specifies, for a pair of devices at distance δ, the signal strength f(δ) that they’ll be able to achieve on their wireless connection. (we’ll assume that f (δ) decreases with increasing δ.) we might want to build this into our notion of back-up sets as follows: among the k devices in the back-up set of v, there should be at least one that can be reached with very high signal strength, at least one other that can be reached with moderately high signal strength, and so forth. more concretely, we have values p1 ≥ p2 ≥ . . ≥ pk, so that if the back-up set for v consists of devices at distances d1≤d2≤≤dk,thenweshouldhavef(dj)≥pj foreachj. give an algorithm that determines whether it is possible to choose a back-up set for each device subject to this more detailed condition, still requiring that no device should appear in the back-up set of more than b other devices. again, the algorithm should output the back-up sets themselves, provided they can be found.\