Use the difference quotient to calculate the average rate of change across the following intervals. Difference quotient of d(t): 3t2 + 5th – 2 The interval 2 to 3: The interval 2 to 2.5: The interval 2 to 2.1:
Mark Elliott
Answered question
2022-08-12
Use the difference quotient to calculate the average rate of change across the following intervals. Difference quotient of The interval 2 to 3: The interval 2 to 2.5: The interval 2 to 2.1:
Answer & Explanation
Leroy Cunningham
Beginner2022-08-13Added 14 answers
(i) The difference quotient for the interval 2 to 3 is 20. (ii) The difference quotient for the interval 2 to 2.5 is 18.5. (iii) The difference quotient for the interval 2 to 2.1 is 17.3. Given a Function d(t) that is Continuous at Interval [a,b], the Difference Quotient associated to the Interval is:
Where: d(a)- Function evaluated at lower bound. d(b)- Function evaluated at upper bound. In this question, the function is represented by (i) If we know that and , then the difference quotient is:
The difference quotient for the interval 2 to 3 is 20. (ii) If we know that a=2 and b=2.5, then the difference quotient is:
The difference quotient for the interval 2 to 2.5 is 18.5. (iii) If we know that a=2 and b=2.1, then the difference quotient is:
The difference quotient for the interval 2 to 2.1 is 17.3.