Need help with this quetsion plz quick
2 answers:
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Step-by-step explanation:
A left Riemann sum approximates a definite integral as:
Given ∫₂⁸ cos(x²) dx:
a = 2, b = 8, and f(x) = cos(x²)
Therefore, Δx = 6/n and x = 2 + (6/n) (k − 1).
Plugging into the sum:
∑₁ⁿ cos((2 + (6/n) (k − 1))²) (6/n)
Therefore, the answer is C. Notice that answer D would be a right Riemann sum rather than a left (uses k instead of k−1).
Solution:
The following information about the chain email can be Written as follows:
1 Person Email →→6 Persons (E-mail) →6² Persons (E-mail)→6³ Persons (E-mail)+.........few Days
As you can see the number of email sent starting from person 1 to 6 persons to 36 persons to 216 persons, forms a Geometric pattern.
So, Sum of the Series = 1 + 6 + 36 + 216 + 1296 +......+ for n days
=
Formula for n terms of a geometric series
For, Common ratio (r)≥1
Sum of above geometric series up to n terms