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If \( \mathrm{y}=\mathrm{e}^{-\mathrm{x}} \cos \mathrm{x} \) and \(...
If \( \mathrm{e}^{\mathrm{y}}(\mathrm{x}+1)=1 \), then show that \(...
If \( \mathrm{x}^{\mathrm{y}}=\mathrm{e}^{x-y} \), prove that \( \f...
If \( \mathrm{y}=\mathrm{c}_{1} \mathrm{e}^{2 \mathrm{x}}+\mathrm{c...
If \( y=1+x . e^{y} \), then \( d y / d x= \) ? (A) \( \frac{\mathrm{e}^{\mathrm{y}}}{1-2 \mathr...
If emissivity of bodies \( \mathrm{X} \) and \( \mathrm{Y} \) are \( \mathrm{e}_{\mathrm{x}} \) ...
If the tangent to the curve, \( \mathrm{y}=\mathrm{e}^{\mathrm{x}} ...
If \( \mathrm{e}_{1} \) and \( \mathrm{e}_{2} \) are the eccentrici...
If \( \mathrm{Q}=\frac{\mathrm{X}^{\mathrm{n}}}{\mathrm{Y}^{\mathrm...
If \( \mathrm{Q}, \mathrm{E} \) and \( \mathrm{W} \) denote respect...
If \( \mathrm{e}_{1} \) and \( \mathrm{e}_{2} \) are the eccentrici...
If \( y=(\mathrm{A}+\mathrm{B} x) e^{m x}+(m-1)^{-2} e^{x} \) then ...