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mylen [45]
4 years ago
6

6. Check whether - 150 is a term of the AP: 11, 8,5,2...

Mathematics
1 answer:
AURORKA [14]4 years ago
8 0
To check -150 is present in the sequence
-150=a+(n-1)d
According to the given series
a=11,d=-3
So we need to find n
If n is a fraction then it does not belongs to that series
From formula=-150=11+(n-1)-3
-150=11-3n+3
-150=14-3n
-150-14=-3n
-164=-3n
n=164/3
We got n as a fraction so -150 does not belong to series
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Answer:

y=\sqrt{\frac{x^4-6x^2+12x+c_1}{2}},\:y=-\sqrt{\frac{x^4-6x^2+12x+c_1}{2}}

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Step-by-step explanation:

\frac{dy}{dx}y=x^3+2x-5x+3

\mathrm{First\:order\:separable\:Ordinary\:Differential\:Equation}

  • \mathrm{A\:first\:order\:separable\:ODE\:has\:the\:form\:of}\:N\left(y\right)\cdot y'=M\left(x\right)

1. \mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:

y'\:y=x^3+2x-5x+3

2. \mathrm{Rewrite\:in\:the\:form\:of\:a\:first\:order\:separable\:ODE}

yy'\:=x^3-3x+3

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5. \mathrm{Simplify}

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