Day 499: MHT-CET Maths

1. A.
   $\dfrac{3\vec{a} + 4\vec{b} + 2\vec{c}}{9}$
2. B.
   $\dfrac{6\vec{a} + 2\vec{b} + \vec{c}}{9}$
3. C.
   $\dfrac{3\vec{a} + 2\vec{b} + 4\vec{c}}{9}$
4. D.
   $\dfrac{6\vec{a} + \vec{b} + 2\vec{c}}{9}$

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1. A.
   $\left( \frac{\pi}{5} + \frac{1}{2} \right)m^{2}/$ hour
2. B.
   $\sqrt{2}\left( \frac{\pi}{5} + \frac{1}{2} \right)m^{2}/$ hour
3. C.
   $2\left( \frac{\pi}{5} + \frac{1}{2} \right)m^{2}/$ hour
4. D.
   $\ \sqrt{3}\left( \frac{\pi}{5} + \frac{1}{2} \right)m^{2}/$ hour

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1. A.
   0
2. B.
   2
3. C.
   4
4. D.
   6

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1. A.
   $\left(\dfrac{d^2y}{dx^2}\right)^2$
2. B.
   $3\dfrac{d^2y}{dx^2}$
3. C.
   $3\left(\dfrac{d^2y}{dx^2}\right)^2$
4. D.
   $3\dfrac{d^2x}{dy^2}$

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1. A.
   $\dfrac{x^4}{16}[4\log x - 1] + c$
2. B.
   $\dfrac{x^4}{16}[4\log x + 1] + c$
3. C.
   $\dfrac{x^4}{16}[-4\log x - 1] + c$
4. D.
   $\dfrac{x^4}{16}[-4\log x + 1] + c$

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