f′(x)=6x2−6x−36=6(x−3)(x+2). f′(x)<0 when −2<x<3. Hence strictly decreasing on (−2,3).
Pipes A and B can fill a tank in 5 hours and 6 hours respectively. Another Pipe can empty the full tank in 30 hours. If all three pipes are opened together, then the tank will be filled in :
Held on 30 May 2023 · Verified 13 Jul 2026.
160 minutes
180 minutes
150 minutes
140 minutes
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
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:
Work through every CUET UG Applied-Mathematics PYQ, year by year.