Day 404: MHT-CET Maths

1. A.
   $\frac{1}{2}$
2. B.
   $\frac{49}{101}$
3. C.
   $\frac{50}{101}$
4. D.
   $\frac{51}{101}$

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1. A.
   $3x+8y\leq24,\;4x+5y\leq20,\;5x+3y\geq15,\;x\geq0,y\geq0$
2. B.
   $3x+8y\geq24,\;4x+5y\geq20,\;5x+3y\leq15,\;x\geq0,y\geq0$
3. C.
   $3x+8y\leq24,\;4x+5y\geq20,\;5x+3y\geq15,\;x\geq0,y\geq0$
4. D.
   $3x+8y\geq24,\;4x+5y\leq20,\;5x+3y\leq15,\;x\geq0,y\geq0$

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1. A.
   $\frac{d^{2}y}{dx^{2}}+2\frac{dy}{dx}-2y=0$
2. B.
   $\frac{d^{2}y}{dx^{2}}-2\frac{dy}{dx}+y=0$
3. C.
   $\frac{d^{2}y}{dx^{2}}-2\frac{dy}{dx}-2e^{x}+y=0$
4. D.
   $\frac{d^{2}y}{dx^{2}}+2\frac{dy}{dx}-e^{x}+2y=0$

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1. A.
   $\vec{u}\cdot(\vec{v}\times\vec{w})$
2. B.
   $\vec{u}\cdot(\vec{w}\times\vec{v})$
3. C.
   $3\vec{u}\cdot(\vec{v}\times\vec{w})$
4. D.
   $0$

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1. A.
   $y(x - 1) = x^{3} + c(x - 1)$, where $c$ is the constant of integration.
2. B.
   $y = x^{3}(x - 1) + c$, where c is the constant of integration.
3. C.
   $y(x - 1) = x^{3}(x - 1) + cx^{2}$, where $c$ is the constant of integration.
4. D.
   $y(x - 1) = x^{3}(x - 1) + c$, where c is the constant of integration.

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