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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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Paha777 [63]

Answer:

Gold : total

35 : 103

Step-by-step explanation:

USA gold = 35

Total usa = 103

Gold : total

35 : 103

4 0
3 years ago
Help me solve this problem
Gennadij [26K]

The value of GK = 18.6, GM = 14.5 AND JZ = 19.9.

From the figure:

MZ is a perpendicular bisector of ∆GHJ.

GM = MJ

GM = 14.5

KZ is a perpendicular bisector of ∆GHJ.

GK = KH

GK = 18.6

Z is the circumcenter of ∆GHJ.

JZ = GZ

JZ = 19.9

Therefore the value of GK = 18.6, GM = 14.5 AND JZ = 19.9.

Learn more about the perpendicular bisector here:

brainly.com/question/24753075

#SPJ1

3 0
1 year ago
renee saves 30% of every paycheck. his paycheck last week was $560 . how much did renee save last week
IRISSAK [1]
30% of 560.....turn percent to decimal..." of " means multiply
0.30(560) = 168..so last week, Renee saved $ 168
7 0
3 years ago
Please help me yall, Godbless.
defon

Answer:

The rate of change or slope is 2

Step-by-step explanation:

Rise over run 2/1

4 0
3 years ago
Evaluate 5|x³ - 2| + 7 when x = -2.
Margarita [4]

Answer:

57

Step-by-step explanation:

Step 1: Define

5|x³ - 2| + 7

x = -2

Step 2: Substitute and Evaluate

5|(-2)³ - 2| + 7

5|-8 - 2| + 7

5|-10| + 7

5(10) + 7

50 + 7

57

5 0
3 years ago
Read 2 more answers
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