Please answer !!!!!!!!!!

Mathematics

2 answers:

anygoal [31]2 years ago

7 0

From top to bottom it goes:
yes
no
no
yes

user100 [1]2 years ago

6 0

Answer:

Line of symmetry: Yes (It has 2, Diagonally, and vertically)

Parallel sides: Yes (Side 1 and side 2 and top line 1 and top line 2 are parallel)

Perpendicular sides: No (No right angles are present by the connecting lines)

Obtuse angles: Yes (All the touching lines are obtuse angles)

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Giải phương trình y"= lnx

kipiarov [429]

Integrate both sides with respect to <em>x</em> :

$y''(x) = \ln(x) \implies \displaystyle \int y''(x)\,\mathrm dx = \int \ln(x)\,\mathrm dx$

On the right side, integrate by parts with

$f = \ln(x) \implies \mathrm df = \dfrac{\mathrm dx}x \\\\ \mathrm dg = \mathrm dx \implies g = x$

$\implies \displaystyle \int\ln(x)\,\mathrm dx = fg - \int g\,\mathrm df \\\\ \int\ln(x)\,\mathrm dx= x\ln(x) - \int \mathrm dx \\\\ \int\ln(x)\,\mathrm dx= x\ln(x) - x + C_1$

Then

$\displaystyle y'(x) = x\ln(x) - x + C_1$

Integrate both sides with respect to <em>x</em> by parts again, this time with

$f = \ln(x) \implies \mathrm df = \dfrac{\mathrm dx}x \\\\ \mathrm dg = x\,\mathrm dx \implies g = \dfrac{x^2}2$

$\implies \displaystyle \int x\ln(x)\,\mathrm dx = fg-\int g\,\mathrm df \\\\ \int x\ln(x)\,\mathrm dx = \dfrac{x^2\ln(x)}2 - \int\frac x2\,\mathrm dx \\\\ \int x\ln(x)\,\mathrm dx = \dfrac{x^2\ln(x)}2-\dfrac{x^2}4 + C_2$

Then

$y(x) = \dfrac{x^2\ln(x)}2 - \dfrac{x^2}4 - \dfrac{x^2}2 + C_1x + C_2 \\\\ \boxed{y(x) = \dfrac{(2\ln(x)-3)x^2}4 + C_1x + C_2}$

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2 years ago

Ramos went to a pizza shop and spent half of his money on lunch. If Ramos had $4.50 left after lunch,how much money did he have

ankoles [38]

Because Ramos spent half of his money, he now has the other half of his money, which is $4.50. Therefore, he originally had:
$4.50* 2= $9.00

The final answer is $9.00~

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3 years ago

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Vilka [71]

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2 years ago

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VMariaS [17]