But what say it again wit what is this
Answer: The answer is 300 gallons.
Step-by-step explanation: Riemann sum is a method of calculating the total area under a curve on a graph, which is also known as Integral.
To calculate that area, we divide it into a number of rectangles with one point touching the curve. The curve has a closed interval [a,b] that can be subdivided into n subintervals, each having a width of Δ
= 
If a function is defined on the closed interval [a,b] and 
is any point in [
,], then a Riemann Sum is defined as ∑f()Δ.
For this question:
Δ = 
= 1.4
Now, we have to find s(t) for each valor on the interval:
s(t) = 0.29
- t +25
s(0) = 25
s(1) = 24.29
s(2) = 24.16
s(3) = 24.61
s(4) = 25.64
s(5) = 27.25
s(6) = 29.44
s(7) = 32.21
Now, using the formula:
∑f()Δ = 1.4(25+24.29+24.16+24.61+25.64+29.44+32.21)
∑f()Δ = 1.4(212.6)
∑f()Δ ≅ 300
With Riemann Sum, it is estimated the total country's per capita sales of bottled water is 300 gallons.
Let's go through the choices one by one
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Choice A
If all sides are congruent, then this figure is a rhombus (by definition). If all angles are congruent, then we have a rectangle. Combine the properties of a rhombus with the properties of a rectangle and we have a square.
In terms of "algebra", you can think
rhombus+rectangle = square
Or you can draw out a venn diagram. One circle represents the set of all rhombuses; another circle represents the set of all rectangles. The overlapping region is the set of all squares. The overlapping region is inside both circles at the same time.
So we can rule out choice A. This guarantees we have a square when we want something that isn't a guarantee.
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Choice B
If we had a parallelogram with perpendicular diagonals, then we can prove that we have a rhombus (all four sides congruent). However, we don't know anything about the four angles of this parallelogram. Are they congruent? We don't know. So we can't prove this figure is a rectangle. The best we can say is that it's a rhombus. It may or may not be a rectangle. There isn't enough info about the rectangle & square part.
This is why choice B is the answer. We have some info, but not enough to be guaranteed everytime.
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Choice C
This is a repeat of choice A. Having "all right angles" is the same as saying "all angles congruent". This is because "right angle" is the same as saying "90 degrees". So we can rule out choice C for identical reasons as we did with choice A.
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Choice D
As mentioned before in choice A, if we know that a quadrilateral is a rectangle and a rhombus at the same time, then the figure is also a square. This is always true, so we are guaranteed to have a square. We can cross choice D off the list.
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Once again, the final answer is choice B
Answer:
Step-by-step explanation:
we would like to figure out the differential coefficient of 
remember that,
the differential coefficient of a function y is what is now called its derivative y', therefore let,
to do so distribute:
take derivative in both sides which yields:
by sum derivation rule we acquire:
Part-A: differentiating $e^{2x}$
the rule of composite function derivation is given by:
so let g(x) [2x] be u and transform it:
differentiate:
substitute back:
Part-B: differentiating ln(x)•e^2x
Product rule of differentiating is given by:
let
substitute
differentiate:
Final part:
substitute what we got:
and we're done!
