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irina1246 [14]
3 years ago
11

How do you do this question?

Mathematics
1 answer:
Luda [366]3 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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What is one half divided by three fifths
Harman [31]

Answer:

Fraction: 5/6

Step-by-step explanation:

(1/2) / (3/5) = 1/2 X 5/3 = 0.83333333333

3 0
2 years ago
If the trapezoid is moved, then what will the coordinates of B be​
Vesnalui [34]

Answer:

-1,1

Step-by-step explanation:

6 0
3 years ago
(a) Descriptive form: The set of natural numbers greater than or equal to 6.
olasank [31]

The set of natural numbers greater than or equal to 6 will be 6, 7, 8, 9, 10, ....

<h3>How to illustrate the information?</h3>

It should be noted that the first information is about the set of natural numbers greater than or equal to 6. Therefore, they will be 6 and above.

It should be noted that the descriptive form simply states in words the elements that are in a set. It is the verbal description of the elements in the set. It is the determination of the elements that belong to a set and those that doesn't.

Also, the way that a set is described is known as the roster form. In this case, the contents of a set can be described by listing the elements that are in the set which are separated by a comma inside the bracket.

Also, the roster form: (5, 7, 9, 11) indicates odd natural numbers. The numbers that are given are odd.

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8 0
8 months ago
Find the total cost. purchase price = $2615; tax rate = 3%
Lisa [10]
$2693.45 

hope it helps


6 0
2 years ago
P and Q are similar hexagonal pyramids. The scale factor of P to Q is 6 : 1. If the volume of Q is 8 cubic yards, find the volum
tatiyna

Answer:

The volume of P is <u>1728 cubic yards.</u>

<u></u>

Step-by-step explanation:

For similar shapes, the ratio of volumes are defined as:

\frac{V_{1} }{V_{2}} = (\frac{h_{1} }{h_{2}}) ^{3}

where h1 and h2 are the heights of each pyramid respectively.

We know that the scale factor of P to Q is 6:1 i.e. the ratio of heights is also 6:1. And the volume of Q is given as 8 cubic yards. so, using the relation defined above we can write:

\frac{V_{P} }{V_{Q}} = (\frac{h_{P} }{h_{Q}}) ^{3}

\frac{V_{P} }{8} = (\frac{6}{1} )^{3}

Vp = 6³ * 8

     = 216 * 8

Vp = 1728 cubic yards

The volume of P is <u>1728 cubic yards.</u>

8 0
2 years ago
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