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irina1246 [14]
4 years ago
11

How do you do this question?

Mathematics
1 answer:
Luda [366]4 years ago
8 0

Answer:

∫ₑ°° 1 / (x (ln x)¹⁰) dx

∫₁°° x⁻³ dx

Step-by-step explanation:

A p-series 1 / xᵖ converges if p > 1.

∫ₑ°° 1 / (x (ln x)¹⁰) dx

If u = ln x, then du = 1/x dx.

When x = e, u = 1.  When x = ∞, u = ∞.

= ∫₁°° 1 / (u¹⁰) du

p = 10, converges

∫₁₀°° x^(-⅔) dx

= ∫₁₀°° 1 / (x^⅔) dx

p = ⅔, diverges

∫₁°° 2 / x^0.5 dx

= 2 ∫₁°° 1 / x^0.5 dx

p = 0.5, diverges

∫₁°° x⁻³ dx

= ∫₁°° 1 / x³ dx

p = 3, converges

∫₂°° 1/(3x) dx

= ⅓ ∫₂°° 1/x dx

p = 1, diverges

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Please help, will give extra points​
adelina 88 [10]

Answer:x=31

angle AOC = 124

angle BOC = 56

Step-by-step explanation:

We first need to solve for x to solve the rest. We would normally solve for x by setting 2 equations equal to each other, in this case however, we know that the two angles are adjacent and in total add up to 180. Therefore we combine like terms of both angles, and set them equal to 180.

So, we do

3x+31+2x-6=180      We will combine like terms

5x+25=180      Now we will do inverse operations

5x=155

x=31

We plug x into angle AOC to solve for it

3(31)+31= 124

180-124=56 or angle BOC because the whole angle is 180, and if we subtract 124 from 180 we get the remainder which is angle BOC

Or if you want,

2(31)-6=56

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3 years ago
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