Day 211: NDA Maths

1. A.
   $T = (-\infty, 2) \cup (3, \infty)$ and $S = (2, 3)$
2. B.
   $T = \phi$ and $S = (-\infty, \infty)$
3. C.
   $T = (-\infty, \infty)$ and $S = \phi$
4. D.
   $T = (2, 3)$ and $S = (-\infty, 2) \cup (3, \infty)$

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1. A.
   The function is not continuous at x = -3
2. B.
   The function is continuous at x = 3
3. C.
   The function is differentiable at x = 0
4. D.
   The function is differentiable at x = -3

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1. A.
   5
2. B.
   25
3. C.
   125
4. D.
   625

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1. A.
   Only one
2. B.
   Only two
3. C.
   Four
4. D.
   No solution

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1. A.
   $a\,e^{ax}+b\,e^{by}=c$
2. B.
   $\frac{1}{a}e^{ax}+\frac{1}{b}e^{by}=c$
3. C.
   $a\,e^{ax}+b\,e^{-by}=c$
4. D.
   $\frac{1}{a}e^{ax}+\frac{1}{b}e^{-by}=c$

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