The amount of electrical resisitance (R) in a medium depends on the temperature, and for certain materials can be modeled by the equation R(t)+0.01t^2+0.1t+k, where R(t) is the resistance in ohms at temperature t(t>or equal to 0degrees) in degrees Celsius, and k is the resistance at t=0degreesCSuppose k=30 for a certain medium. Write the resistances equation and use it to answer the following. a. For what temperature is the resistance less than 42 ohmsb. For what temperature is the resistance greater than 42 ohmsc. If it becomes uneconomical to run electricity through the medium for resistance greater than 60 ohms for what temperatures should the electricity generator be shut down?

Question
Asked Jan 16, 2020
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The amount of electrical resisitance (R) in a medium depends on the temperature, and for certain materials can be modeled by the equation R(t)+0.01t^2+0.1t+k, where R(t) is the resistance in ohms at temperature t(t>or equal to 0degrees) in degrees Celsius, and k is the resistance at t=0degreesC

Suppose k=30 for a certain medium. Write the resistances equation and use it to answer the following. 

a. For what temperature is the resistance less than 42 ohms

b. For what temperature is the resistance greater than 42 ohms

c. If it becomes uneconomical to run electricity through the medium for resistance greater than 60 ohms for what temperatures should the electricity generator be shut down?

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Expert Answer

Step 1

Determine the resistance equation by substituting k=30.

Advanced Math homework question answer, step 1, image 1
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Step 2

a) R(t)<42

Advanced Math homework question answer, step 2, image 1
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Step 3

t ≥0. So, t<30.

Thus, t s...

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