Rewrite denominator: x2(x4+1)3/4=x5(1+x41)3/4.
Let u=1+x41, du=−x54dx.
Integral =−41∫u−3/4du=−u1/4+C=−(x4x4+1)1/4+C.
Match List - I with List - II.
| List - I | List - II |
|---|---|
| (A) In a binomial distribution, if n=10, q=0.25, then its mean is | (I) 12 |
| (B) If the mean of a binomial distribution is 6 and its variance is 3, then p is | (II) 7.5 |
| (C) In a binomial distribution, the probability of getting a success is 41 and the standard distribution is 3, then its mean is | (III) 16 |
| (D) If the mean and variance of a binomial distribution are 4 and 3 respectively, then the number of trials is | (IV) 21 |
Choose the correct answer from the options given below :
Held on 15 Jun 2023 · Verified 13 Jul 2026.
(A)-(III), (B)-(IV), (C)-(II), (D)-(I)
(A)-(II), (B)-(IV), (C)-(I), (D)-(III)
(A)-(IV), (B)-(III), (C)-(I), (D)-(II)
(A)-(IV), (B)-(II), (C)-(I), (D)-(III)
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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:
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