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:
g(-1) = 1
Step-by-step explanation:
Synthetic division is by far the fastest way to evaluate this function at x = -1. Set up synth. div. as follows:
-1 ) 1 6 12 8
-1 -5 -7
----------------------
1 5 7 1
since the remainder is 1, g(-1) = 1
Answer:
38.3 (idk if it can be a decimal)
i think its 15. dont come at me
18 i think
~s9154499~
~Mia for short~
Answer:
No Solution.
Step-by-step explanation:
-4+2x=5-(x-3)+3x
-4+2x=5-x+3+3x
-4+2x=5+3-x+3x
-4+2x=8+2x
-4+2x-2x=8
-4+0=8
-4=8
no solution
Answer:
The domain that makes sense for this function is all values greater than or equal to 0.
Step-by-step explanation:
A ball is thrown into the air from a height of 4 feet at time <em>t</em> = 0. It is modeled by the function:

The domain of the function is time <em>t</em>. The range of the function is the ball's height in the air <em>h</em>.
Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.
Therefore, the domain that makes sense for this function is all values greater than or equal to 0.
In interval notation, this is:

And as an inequality:
