I don't usually do calculus on Brainly and I'm pretty rusty but this looked interesting.
We have to turn K into the limits of integration on our integrals.
Clearly 0 is the lower limit for all three of x, y and z.
Now we have to incorporate
x+y+z ≤ 1
Let's do the outer integral over x. It can go the full range from 0 to 1 without violating the constraint. So the upper limit on the outer integral is 1.
Next integral is over y. y ≤ 1-x-z. We haven't worried about z yet; we have to conservatively consider it zero here for the full range of y. So the upper limit on the middle integration is 1-x, the maximum possible value of y given x.
Similarly the inner integral goes from z=0 to z=1-x-y
We've transformed our integral into the more tractable
For the inner integral we get to treat x like a constant.
Let's expand that as a polynomial in y for the next integration,
The middle integration is
Expanding, that's
so our outer integral is
That one's easy enough that we can skip some steps; we'll integrate and plug in x=1 at the same time for our answer (the x=0 part doesn't contribute).
That's a surprise. You might want to check it.
Answer: 0
The answer is g(x) = 200 times 1.0609^x
Solution:
=200 •1.03•2x.
<span>=200•1.03^(2x). </span>
<span>1.03^2x = (1.03²)^x
= 1.0609^x
</span>
<span>g(x) = 200·1.0609^x</span>
Answer:
D
Step-by-step explanation:
I'm pretty sure I, G, F, D are the integers.
Pound is the unit of measure of passengers car weight
According the statement
The weight of passengers car is 4.5 times 10 superscript 3 units.
from this it is clear that the in simple terms the weight become 4.5 * 10^3
AND
the term 10^3 is used when we measure the weight in pounds.
So, Pound is the unit of measure of passengers car weight.
Learn more about WEIGHT here brainly.com/question/2337612
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Approximatley 95.4% of the batteries have lifetime between 740 hours and 1,020 hours. O = -2 O = 2
* Fall within 2 std. dev. of mean
Approximatley 68% of the batteries have liftetimes between 810 and 950 hours.
100k for -1 & 1 std. dev.
( 810 & 950)
-1 = x-880/70 1 = x-880/70
-70 = x - 880 70 = x - 880
810 = x 950 = x