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math 1111 - 08 > assignments > hw 3.6
hw 3.6
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current learning objective: understanding absolute value
question 19
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suppose we have a resistor rated at 690 ohms, ±9%. use the absolute - value function to express the range of possible values of the actual resistance. show resistance, r in ohms in your absolute - value function.
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Explanation:

Step1: Calculate the tolerance amount

The resistor is rated at 690 ohms with a ±9% tolerance. The tolerance amount is $690\times0.09 = 62.1$ ohms.

Step2: Set up the absolute - value equation

The absolute - value equation representing the range of the actual resistance $R$ is based on the idea that the difference between the actual resistance $R$ and the rated resistance 690 ohms is at most 62.1 ohms. So, $|R - 690|\leq62.1$.

Answer:

$|R - 690|\leq62.1$