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steposvetlana [31]
2 years ago
10

Rewrite the following in dx dz dy order.

Mathematics
1 answer:
balandron [24]2 years ago
5 0

x is minimized at x=y^2, so the upper bound for z can be rewritten as

z = 2 - \dfrac x2 = 2 - \dfrac{y^2}2

so that in the integral with dz, we have the range 0 \le z \le 2 - \frac{y^2}2.

Rewrite the plane equation as a function x=x(z).

z = 2 - \dfrac x2 \implies 2z = 4 - x \implies x = 4 - 2z

So the equivalent integral is the one in choice A,

\displaystyle \int_{-2}^2 \int_{y^2}^4 \int_0^{2-x/2} dz\,dx\,dy = \boxed{\int_{-2}^2 \int_0^{2-y^2/2} \int_{y^2}^{4-2z} dx\,dz\,dy}

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mezya [45]

Answer:

95⁰

Step-by-step explanation:

next time you want to figure this out, here's how

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for next time, you might not have as much information as you do in this equation so be careful

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I can help but what is the (2)???
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konstantin123 [22]

Hey there! I'm happy to help!

We see that 500 languages is a certain percent of the 7,111 total languages. When working with percent equations, the word "is" means "equals", and "of" usually means "multiplied by" This means that 500 is equal to a certain percent multiplied by 7,111. We can use p to represent this certain percent and create an equation below.

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I hope that this helps! Have a wonderful day! :D

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Naddika [18.5K]
Let Sydney's age be x
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Sydney is 18 years old.
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