Answer:
120.51·cos(377t+4.80°)
Step-by-step explanation:
We can use the identity ...
sin(x) = cos(x -90°)
to transform the second waveform to ...
i₂(t) = 150cos(377t +50°)
Then ...
i(t) = i₁(t) -i₂(t) = 250cos(377t+30°) -150cos(377t+50°)
A suitable calculator finds the difference easily (see attached). It is approximately ...
i(t) = 120.51cos(377t+4.80°)
_____
The graph in the second attachment shows i(t) as calculated directly from the given sine/cosine functions (green) and using the result shown above (purple dotted). The two waveforms are identical.
Answer:
1. Discrete-time signals are represented mathematically as sequences of numbers. A sequence of numbers x, in which the nth number in the sequence is denoted x[n],
1 is
formally written as
x = {x[n]}, −∞ <n< ∞, (2.1)
2. where n is an integer. In a practical setting, such sequences can often arise from periodic
sampling of an analog (i.e., continuous-time) signal xa(t). In that case, the numeric value
of the nth number in the sequence is equal to the value of the analog signal, xa(t), at
time nT : i.e.,
x[n] = xa(nT ), −∞ <n< ∞. (2.2)
Step-by-step explanation:
Answer:
720 cm^3
Step-by-step explanation:
Answer:
One train weighs 30 tons and another train weighs 99 tons.
Step-by-step explanation:
30+99 adds up to 129
40,023,032 in word form:
forty million, twenty-three thousand, thirty-two
