# 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
10 views

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?

check_circle

Step 1

Determine the resistance equation by substituting k=30.

Step 2

a) R(t)<42

Step 3

t ≥0. So, t<30.

Thus, t s...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

### Math 