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
Answer:
<h2>Slope =1</h2>
Step-by-step explanation:
Method 1 : Standard form method
Method 2 : Slope -intercept Form
Answer:
-8 = d
Step-by-step explanation:
-10 = -2+d
Add 2 to each side
-10 +2 = -2+2 +d
-8 = d
The correct answer is: Option (A) The new standard deviation is greater than $27.
Explanation:
The given sample set is the following:
75, 82, 100, 120, 140.
To find the new standard deviation, add the sixth skateboard to the above sample set, as follows:
75, 82, 100, 120, 140, 450.
Now we have 6 elements in the sample set.
<u>Step-1:</u> Find the <em>mean</em> of the new sample set.
Where, n is the total number of elements in the sample set. In this case, n=6.
<u>Step-2:</u> Find the <em>variance ()</em>.
<u>Step-3:</u> Find the new standard deviation.
Standard deviation is the square-root of variance.
New standard deviation ($143.53) is greater than the standard deviation ($27) without the sixth skateboard sample in sample set.
<u>Conclusion:</u> The Option (A) The new standard deviation is greater than $27 is the right answer.
Put the graph dude I can’t tell what your trying to say :)