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If \( \mathrm{y}=\mathrm{e}^{-\mathrm{x}} \cos \mathrm{x} \) and \(...
If \( \mathrm{e} \) and \( \mathrm{e}^{\prime} \) are the eccentric...
If \( \mathrm{x}=\mathrm{e}^{\theta}(\sin \theta-\cos \theta), \mathrm{y}=\mathrm{e}^{\theta}(\s...
If \( \mathrm{x}^{\mathrm{y}}=\mathrm{e}^{x-y} \), prove that \( \f...
If \( \mathrm{e}^{\mathrm{y}}(\mathrm{x}+1)=1 \), then show that \(...
If \( \mathrm{e}_{1} \) and \( \mathrm{e}_{2} \) are the eccentrici...
If \( y=1+x . e^{y} \), then \( d y / d x= \) ? (A) \( \frac{\mathrm{e}^{\mathrm{y}}}{1-2 \mathr...
If the tangent to the curve, \( \mathrm{y}=\mathrm{e}^{\mathrm{x}} ...
If \( \mathrm{Q}, \mathrm{E} \) and \( \mathrm{W} \) denote respect...
If \( \mathrm{y}=\mathrm{c}_{1} \mathrm{e}^{2 \mathrm{x}}+\mathrm{c...
What's so special about Euler's number e? | Chapter 5, Essence of calculus
If \( \log _{\mathrm{e}}\left((\mathrm{e}-1) \mathrm{e}^{\mathrm{xy...