Standard form: dxdy+2xy=7x2. Integrating factor =e∫2x1dx=x. So yx=∫7x5/2dx=2x7/2+c. Therefore y=2x3+cx−1/2.
If the probability distribution of a random variable X is given as
| xi | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| pi | 2k2 | k2 | 3k2 | k |
Then the mean of X is
Held on 25 May 2023 · Verified 13 Jul 2026.
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If the total cost and total revenue of a company that produces and sells $x$ units of a particular product are $C(x) = 5x + 350$ and $R(x) = 50x - x^2$ respectively, then which of the following is/are the breakeven values: (A) $x = 10$ (B) $x = 25$ (C) $x = 45$ (D) $x = 30$ Choose the correct answer from the options given below:
The supply function of a commodity is P = $x^3+2x+18$. When 4 units of commodity are sold , then producer surplus is:
The demand function P for maximising a profit monopolist is given by P=274-x², while the marginal cost is 4+3x for x units of commodity. The consumer surplus is
If $y = e^{\frac{1}{2}\log(1+ \tan^2 x)}$, then $\frac{d^2y}{dx^2}$ is equal to:
If the random variable X follows the Poisson distribution such that P[X = k] = P[X = k+1], then the mean value of X is:
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