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:
-x^2+15x+2/x
Step-by-step explanation:
Answer:
A) -72xy
Step-by-step explanation:
Hope this helps
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Answer:
6 years
Step-by-step explanation:
t=2250/375
t=6
Hence time of the loan will be 6 years
Answer:
Step-by-step explanation:
Given
Required
Determine the percentage of the shaded cubes
First, we calculate the number of boxes:
Express as multiplication
This implies that there are 20 cubes in the box.
The percentage of the shaded cubes is:
<em>30% were shaded</em>
