Answer:
As consequence of the Taylor theorem with integral remainder we have that

If we ask that
has continuous
th derivative we can apply the mean value theorem for integrals. Then, there exists
between
and
such that

Hence,

Thus,

and the Taylor theorem with Lagrange remainder is
.
Step-by-step explanation:
Answer:
$367.38 is the cost to stain the entire deck.
Step-by-step explanation:
Here is what you need to know beforehand:
<em>Diameter</em> is <u>a line</u> that goes <u>through a circle</u>. <em>Radius</em> is <u>a line </u>that goes from <u>the edge of the circle all the way to the center</u>/<u>a line </u>that goes <u>halfway through the circle</u>.
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<u>First, find the area of the circle. Here is the formula:</u>
Area = 3.14 (Pi) x r²
Since radius is half of the diameter (as explained above), you'll need to divide the diameter in half: 12m/2 = 6m
So the formula will look like this:
Area = 3.14 x 6²
<u>Then, you just do the math:</u>
Area = 3.14 x 6²
Area = 3.14 x 36
Area = 113.04
The goal of the problem is to find the amount of money Emma needs. <u>Finally, all you need to do is multiply the amount it cost to stain per square meter by the total area of the deck:</u>
Answer = 113.04 x 3.25
Answer = 367.38
$367.38 is the cost to stain the entire deck.
Because it is greater, larger numbers are on the right of the number line...
Answer:

Step-by-step explanation:
Given:
180°<θ<270° and 
We know for any angle
,

∴
To solve this problem you must apply the proccedure shown below:
1. You have that Jim drove the car 2,718.3 miles for a total mileage of 87,416.
2. Then, to calculate the mileage before last month, you only need to substract the total mileage given in the exercise above and the mileage drove last month, as following:

Therefore, the answer is: 84,697.7 miles.