Combine like terns: 16y+8×-7×+8y-2y^2

Mathematics

2 answers:

mihalych1998 [28]4 years ago

8 0

-2Y^2+24Y+X. Is the simplified version of this.

creativ13 [48]4 years ago

6 0

16y + 8y
8x - 7x
-2y²

-2y² + 24y + x

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It looks like you want to compute the double integral

$\displaystyle \iint_D (x+y) \,\mathrm dx\,\mathrm dy$

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and

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$\displaystyle \iint_D (x+y)\,\mathrm dx\,\mathrm dy = \iint_D r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \int_0^{2\pi} \int_0^1 r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \underbrace{\left( \int_0^{2\pi}(\cos(\theta)+\sin(\theta))\,\mathrm d\theta \right)}_{\int = 0} \left( \int_0^1 r^2\,\mathrm dr \right) = \boxed{0}$