Day 383: MHT-CET Maths

1. A.
   $3x+4y\geq12,\; y-x\geq0,\; y\leq3,\; x,y\geq0$
2. B.
   $3x+4y\leq12,\; y-x\leq0,\; y\geq3,\; x,y\geq0$
3. C.
   $3x+4y\leq12,\; y-x\geq0,\; y\leq3,\; x,y\geq0$
4. D.
   $3x+4y\geq12,\; y-x\leq0,\; y\geq3,\; x,y\geq0$

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1. A.
   $\frac{d^{2}y}{{dt}^{2}} + 6y = 0$
2. B.
   $\frac{d^{2}y}{{dt}^{2}} = 0$
3. C.
   $\frac{d^{2}y}{{dt}^{2}} + 36y = 0$
4. D.
   $\frac{d^{2}y}{{dt}^{2}} + 25y = 0$

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1. A.
   $27$
2. B.
   $28$
3. C.
   $4$
4. D.
   $3$

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

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1. A.
   0.1548
2. B.
   0.1458
3. C.
   0.01854
4. D.
   0.01458

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