Anumber x rounded to 2 decimal places is 7.42 write down the error interval for x

The interval is x [7.415,7.419].

Step-by-step explanation:

Given : A number x rounded to 2 decimal places is 7.42.

To find : Write down the error interval for x ?

Solution :

Number round to 2 decimal place is lie in the interval of 3 numbers.

The number is 7.42 so the thousandth place is from 5 to 9 and hundredth place is 1.

i.e. 7.415,7.416,7.417,7.418,7.419.

As 7.415 round to 2 decimal place is 7.42.

The interval is x [7.415,7.419].

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

the answer is b