Bernard Bernard
05/02/2023 · Senior High School
The rate at which a machine operator's efficiency, \( E \) (expressed as a percentage), changes with respect to time \( t \) is given by \( \frac{d E}{d t}=35-12 t \), where \( t \) is the number of hours the operator has been at work. a) Find \( E(t) \), given that the operator's efficiency after working 2 hr is \( 79 \% \); that is, \( E(2)=79 \). b) Use the answer in part (a) to find the operator's efficiency after 3 hr ; after 5 hr .
Upstudy ThothAI Solution
Tutor-Verified Answer
Quick Answer
The function for efficiency is \( E(t) = 35t - 6t^2 + 33 \). After 3 hours, the efficiency is 84%, and after 5 hours, it is 58%.
Step-by-step Solution
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit