Answer:
Average rate of change = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Step-by-step explanation:
The average rate of change of the function
F(t) = 2t^2 - 1 , [ 5,5.1 ]
solution
=
= [ 2 ( 26.01 - 25 ) / 0.1 ]
= 2.02 / 0.1 = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Answer: The correct option is
(C) 26.
Step-by-step explanation: Given that in a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question.
All the 10 questions on the quiz are worth a total of 360 points.
We are to find the worth of the third question in points.
Since each question after the first is worth 4 points more than the preceding question, so this will make an arithmetic sequence with
first term a, common difference, d = 4 and number of terms, n = 10.
We know that, in an A.P. with first term a and common difference d,
According to the given information,
Therefore, the third term of the sequence is
Thus, the third question worth 26 points.
Option (C) is CORRECT.