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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.
A spherical ballon is being inflated at the rate of 5 cubic inches a minute. At what rate is the radius changing after ten minutes?
As a business owner, there are many decisions that you need to make on a daily basis, such as ensuring you reach the highest production levels possible with your company's products. Your company produces two models of bicycles: Model A and Model B..
What is a binomial factor? In your own words, describe the process of factoring by grouping. Explain how the distributive property is used in this process. Give a detailed example of this process.
A checkered flag used for racing is a square flag containing 64 alternating white and black squares. How many squares on the checkered flag contain an equal number of white and black squares?
Dr. Sand borrowed some money to buy new furniture for her office. She paid $182.88 simple interest on a 5.5-year loan at 9.5 percent. Find the principal.
What is the average cost per unit to produe 100 units?
What are the x-intercepts of the graph? At what values of x does the graph have a vertical asymptote? At what values of y does the graph have a horizontal asymptote?
A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 186 square feet?
A plane flies at a average speed of 300 miles per hour. The expression 300t gives the distance traveled by the plane in t hours. find the distance traveled by the plane in 8 hours.
A sample random sample of sixty times resulted in a sample mean of eight & a sample standard deviation of fifteen. Compute 95 percent confidence interval for population mean.
every day 124,000,000,000 spam emails are sent if each email wates 4 secounds, how many hours are wasted each day due to spam? how many days? how many years?
At noon, ship A is 50 km west of ship B. Ship A is sailing south at 45 km/h and ship B is sailing north at 25km/h. How fast is the distance between the ships changing at 4:00pm.
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