Answer:
the angle <ABC is equal to 65°
Given that

, we have for

the Taylor series expansion about 0 as

Replace

with

, so that the series is equivalent to

and notice that

Recall that for

, we have

which means

Answer:
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Step-by-step explanation:
Answer:
The expected change in reaction time for a 1°F increase in temperature is 4.39 hours.
The expected change in reaction time for a 8°F increase in temperature is 4.32 hours.
Step-by-step explanation:
The simple linear regression line is used to determine the changes in the dependent variables when the independent variable is changed.
The general form of the simple linear regression line is:

The simple linear regression model for the reaction time of a certain chemical process based on the temperature (°F) in the chamber in which the reaction takes place is:

Here,
<em>y</em> = reaction time (in hours)
<em>x</em> = temperature (°F)
Compute the expected change in reaction time for a 1°F increase in temperature as follows:


The expected change in reaction time for a 1°F increase in temperature is 4.39 hours.
Compute the expected change in reaction time for a 8°F increase in temperature as follows:


The expected change in reaction time for a 8°F increase in temperature is 4.32 hours.