What stocks y’all investing in? looking for some short term and maybe long term
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Answer:
Proved (See Explanation)
Step-by-step explanation:
Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is done as follows
From laws of indices;
aᵐ⁺ⁿ = aᵐ * aⁿ.
So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.
becomes
Factorize
3ⁿ * 5
5(3ⁿ)
<em>The expression can not be further simplified.</em>
<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>
The simplest path from (0, 0, 0) to (1, 1, 1) is a straight line, denoted , which we can parameterize by the vector-valued function,
for , which has differential
Then with , we have
Complete the square in the quadratic term of the integrand: , then in the integral we substitute
:
Make another substitution of :
Integrate by parts, taking
So, we have by the fundamental theorem of calculus that