MCQ
The order of the differential equation whose solution is $y=a \cos x+b \sin x+c e^{-x}$ is
- ✓3
- B2
- C1
- Dnone of these
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"Minimize $z=6 x+10 y$ subject to $x \geq 6, y \geq 2,2 x+y \geq 10, x \geq 0, y \geq 0$." redundant constraints are $....$
$\cos \left(\frac{1}{2} \cos ^{-1}\left(e^{-x}\right)\right) d x=\sqrt{e^{2 x}-1} \,d y$
If it intersects $y$-axis at $y=-1$, and the intersection point of the curve with $x$-axis is $(\alpha, 0)$ the $\mathrm{e}^{\alpha}$ is equal to $.....$
| $I$ | $II$ | $III$ | $IV$ |
| $f'(x) = \frac{9}{{28}} x^{7/3} +9$ | $f (x) = \frac{9}{{28}} x^{7/3} -2$ | $f (x) = \frac{3}{{4}}\,x^{4/3} +6$ | $f'(x) =\frac{3}{{4}}\,x^{4/3} -4$ |