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1. The standard electric voltage in a 60-Hz alternating-current circuit is given by V = 170 sin 120 πt, where t is the time in seconds. Sketch two periods of the graph of V as a function of t. Give amplitude and period of the function.
2. The electric current i (in μA) in a electric circuit is given by i = 4.8 cos 2 π (t + 0.4), where t is the time in seconds. Sketch three cycles of this function. Give amplitude, period and displacement for the function.
3. A particular AC circuit has a resistor of 4 Ω, a reactance across an inductor of 8 Ω and a reactance across a capacitor of 11 Ω.
a. Represent the impedance by a complex number, in rectangular form and in polar form.
b. Find the magnitude of the impedance and its phase angle.
c. Does the voltage lead or lag the current? Explain.
Calculate the Medicare payment percentage. Subtract the national unadjusted coinsurance from the unadjusted payment rate. Divide the answer by the unadjusted payment rate
(a) Before 1918, in a random sample of 12 wolves spotted in the region, what is the probability that 9 or more were male?
Determine which of the following collection of subsets of R are bases: solve each one individually. a) C1 = {(n,n+2) ⊆ R | n∈Z} b) C2 = {[a,b] ⊆ R | a
Find the interval and radius of convergence for the following two power series - n=1Σ∞ 2nxn/n!
If 80% of a radioactive element remains after 250 million years, then what percent remains radioactive after 600 million years? What is it's half life?
two cars start moving from the same point. one travels north at 30mi/h and the other travels east at 40mi/h. At what rate is the distance between the cars increasing 30 minutes later?
A company has fixed costs of 20,000,and the cost of producing one unit of their product is $10. the unit sell for $20. write an equation for the total cost. write an equation for the total revenue. graph these equations to find the break even poin..
Use your simulation results to determine the probability of obtaining a defective phone for each simulation if an outcome of 1 or 2 is considered to be a defective phone, showing all work.
A manufacturing company has 10 machines in continous operation during a workday. The probability that an individual machine will break down during the day is .10
Suppose CUNY professors have an average life, normally distributed, of 80 years with a population standard deviation of 9 years.
Find the regression coefficients.
A drawer contains n=5 different and distinguishable pairs of socks (a total of 10 socks). If a person randomly selects 4 socks, what is the probability that there is no matching pair in the sample?
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