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Linear Equations and Outputs

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An AC sine wave is applied to the input of a full wave rectifier. The output of the full wave rectifier is then applied to a half wave rectifier. The output of the half wave rectifier will most closely resemble:
A) the original sine wave.
B) an inverted form of the original sine wave.
C) the output of the full wave rectifier.
D) none of the above.

A project that will cost $750,000 will require payments as certain milestones are met. The initial payment is $50,000. When 30% of the work is complete an additional payment of $200,000 is due. When 70% of the work is complete another payment of $300,000 is due. Upon completion of the project the balance is due. The closest linear equation to approximate the payment schedule (where Y = amount paid in thousands of dollars, and X = % complete) is:
A) 750 X - Y = 0
B) 750 X - Y = - 50
C) 600 X -Y = -100
D) B = 0

Approximately where would the curve, log Y = log 2X plotted on standard graph paper intercept the Y-axis?
A) 0
B) 0.3
C) 1.0
D) 2.3

An electrical circuit consists of a set of three parallel resistors (A, B, and C) which are connected in series with another set of two parallel resistors, (D, and E). These two sets of resistors are connected in a series loop to a battery. Assume the following resistor values:

A = 33 ohms
B= 100 ohms
C = 51 ohms
D = 22 ohms
E = 10 ohms

How much current could a 12 V battery drive through the circuit?
A) less than 12 ohms
B) greater than 1 amp
C) less than 0.5 amps
D) none of the above

An object is thrown horizontally from the top of a building from an elevation of 64 feet above ground level. The velocity of the object is 56 miles per hour. How far, horizontally will the ball travel before reaching the ground?
A) Less than 170 feet.
B) Less than 160 feet.
C) Each of the above.
D) None of the above.

A football player runs at a speed of 16 feet per second. How long will it take him to run ten yards directly downfield if his course is in a forward direction at an angle of 45 degrees toward the sideline?
A) Less than 2 seconds.
B) More than three seconds.
C) Cannot be determined from the information provided.
D) None of the above.

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An AC sine wave is applied to the input of a full wave rectifier. The output of the full wave rectifier is then applied to a half wave rectifier. The output of the half wave rectifier will most closely resemble:
A) the original sine wave.
B) an inverted form of the original sine wave.
C) the output of the full wave rectifier.
D) none of the above.

Answer: D).

The original AC sine wave is :

The output of the full wave rectifier (also the input to the half wave rectifier) is:

The output of the half wave rectifier will be:

So the answer is D.

A project that will cost $750,000 will require payments as certain milestones are met. The initial payment is $50,000. When 30% of the work is complete an additional payment of $200,000 is due. When 70% of the work is complete another payment of $300,000 is due. Upon completion of the project the balance is due. The closest linear equation to approximate the payment schedule (where Y = ...

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This solution identifies the correct answer in each question set with clear reasoning and calculations.

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See Also This Related BrainMass Solution

Comparing Linear Functions and Equations and Domain and Range

(1)- What similarities and differences do you see between functions and linear equations that you studied in Chapter 3?

. Are all linear equations functions?

· Is there an instance in which a linear equation is not a function? Support your answer.

· Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.

· Find examples that support or refute your classmates' answers to the discussion question. Provide additional similarities and differences between functions and linear equations. Challenge your classmates by providing more intricate examples of nonlinear functions for them to solve.

(2)- What is the difference between domain and range?

· Describe a real life situation that could be modeled by a function.

· Describe the values for x that may not be appropriate values even when they are defined of your classmates' function. A function could, for example, indicate the amount of bone strength (y) in a living human body over time in years (x). It would not make sense to look at negative years, because the person would not yet be born. Likewise, looking beyond 100 years might not make sense, as many people do not live to be 100.

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