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malfutka [58]
3 years ago
15

What is 15,409 in word form

Mathematics
2 answers:
brilliants [131]3 years ago
6 0
<span>fifteen thousand four hundred nine</span>
Aleks [24]3 years ago
6 0
Fifteen Thousand four hundred and nine

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Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. Check your answer by noting that the curve is
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Answer:

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Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^{2} } } \, dx

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

\int\limits^3_{-1} {\sqrt{1+4^{2}} } \, dx=\sqrt{17} *(3-(-1))=4\sqrt{17}

Now, using the distance formula we have:

d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }

y(-1)=4*(-1)-5=-9 \\y(3)=4*(3)-5=7

So we have two points (-1, -9) and (3, 7) so:

d=\sqrt{(3-(-1))^{2} +(7-(-9))^{2} }=4\sqrt{17}

Notice both equations gave the same length 4\sqrt{17}.

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