Day 170: MHT-CET Maths

1. A.
   $p \rightarrow (p \rightarrow q)$
2. B.
   $p \rightarrow (p \wedge q)$
3. C.
   $p \rightarrow (p \leftrightarrow q)$
4. D.
   $p \rightarrow (p \vee q)$

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1. A.
   $y = e^x + c$
2. B.
   $e^y = e^x + x^3 + c$
3. C.
   $e^y = e^x + \dfrac{x^3}{3} + c$
4. D.
   $e^y = e^x + 2x + c$

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1. A.
   $\dfrac{1}{3}(2\hat{i} + \hat{j} + \hat{k})$
2. B.
   $\dfrac{1}{5}(2\hat{i} - \hat{j} + 4\hat{k})$
3. C.
   $\dfrac{1}{7}(2\hat{i} + 4\hat{j} + \hat{k})$
4. D.
   $\dfrac{1}{7}(2\hat{i} - 4\hat{j} - \hat{k})$

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1. A.
   $1 - 5(0.4)(0.6)^9$
2. B.
   $1 - (0.6)^9(4.6)$
3. C.
   $1 - (0.4)^{10}$
4. D.
   $0.66$

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1. A.
   $\tan^{-1}(18)$
2. B.
   $-\tan^{-1}(18)$
3. C.
   $\pi + \tan^{-1}(18)$
4. D.
   $\pi - \tan^{-1}(18)$

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