A is measured in coulombs, B is measured in seconds, C is measured in volts, and D is measured in seconds. Give the power of this component at t2 = 7 sec. You must round your answer to the nearest thousandth and give your answer as an integer followed by the appropriate metric prefix and the letter that represents the units of power.

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A is measured in coulombs, B is measured in seconds, C is measured in volts, and D is measured in seconds.

Give the power of this component at t2 = 7 sec. You must round your answer to the nearest thousandth and give your answer as an integer followed by the appropriate metric prefix and the letter that represents the units of power.

 

The image contains two mathematical expressions, often used in the context of exponential decay or growth models. The expressions are:

1. \( q(t) = A e^{-\frac{t}{B}} \)

   - Here, \( q(t) \) represents a quantity as a function of time \( t \).
   - \( A \) is a constant that typically represents the initial value of the quantity.
   - The term \( e^{-\frac{t}{B}} \) describes an exponential decay process, where \( e \) is the base of the natural logarithm, and \( B \) is a constant that influences the rate of decay.

2. \( v(t) = C e^{-\frac{t}{D}} \)

   - \( v(t) \) is another function of time \( t \).
   - \( C \) is a constant representing the initial value of this second quantity.
   - Similarly, \( e^{-\frac{t}{D}} \) indicates exponential decay, with \( D \) serving as the decay rate constant for this expression.

These equations are commonly used to model processes where quantities decrease over time, such as radioactive decay, charging and discharging of capacitors in electrical circuits, and other naturally occurring phenomena where rates of change can be described exponentially.
Transcribed Image Text:The image contains two mathematical expressions, often used in the context of exponential decay or growth models. The expressions are: 1. \( q(t) = A e^{-\frac{t}{B}} \) - Here, \( q(t) \) represents a quantity as a function of time \( t \). - \( A \) is a constant that typically represents the initial value of the quantity. - The term \( e^{-\frac{t}{B}} \) describes an exponential decay process, where \( e \) is the base of the natural logarithm, and \( B \) is a constant that influences the rate of decay. 2. \( v(t) = C e^{-\frac{t}{D}} \) - \( v(t) \) is another function of time \( t \). - \( C \) is a constant representing the initial value of this second quantity. - Similarly, \( e^{-\frac{t}{D}} \) indicates exponential decay, with \( D \) serving as the decay rate constant for this expression. These equations are commonly used to model processes where quantities decrease over time, such as radioactive decay, charging and discharging of capacitors in electrical circuits, and other naturally occurring phenomena where rates of change can be described exponentially.
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