Economic Uses:
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Solution and Explanation
- Cigarette and Cigar Industry: Major raw material for global tobacco product manufacturing.
- Chewing and Snuff Industry: Used in different forms like gutkha, snuff, and chewing tobacco.
- Pharmaceutical Industry: Nicotine extracted from tobacco is used in nicotine patches and gum for smoking cessation.
- Pesticides and Biopesticides: Nicotine-based products are used as natural insecticides.
- Revenue Generation: Tobacco contributes significantly to India’s economy through exports and employment.
Questions Asked in MH Board Class XII exam
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
- MH Board Class XII - 2024
- Differentiation
- Evaluate: \[ I = \int \frac{5e^x}{(e^x + 1)(e^{2x} + 9)} \, dx. \]
- MH Board Class XII - 2024
- Integration
- A box with a square base is to have an open top. The surface area of the box is 147 cm\(^2\). What should its dimensions be in order that the volume is largest?
- MH Board Class XII - 2024
- Optimization
- If \( x = f(t) \) and \( y = g(t) \) are differentiable functions of \( t \), so that \( y \) is a function of \( x \) and \( \frac{dx}{dt} \neq 0 \), then prove that: \[ \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}. \] Hence find \( \frac{dy}{dx} \), if \( x = at^2 \), \( y = 2at \).
- MH Board Class XII - 2024
- Differentiation
Solve the following L.P.P. by graphical method:
Maximize:
\[ z = 10x + 25y. \] Subject to: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]- MH Board Class XII - 2024
- Linear Programming