An enzyme that can stimulate germination of barley seeds is

Seven white balls and three black balls are randomly arranged in a row. The probability that no two black balls are placed adjacently is

If $A \cap B = B$,then

Consider a metal sphere of radius $R$ that is cut in two parts along a plane whose minimum distance from the sphere's centre is $h$. The sphere is uniformly charged by a total electric charge $Q$. The minimum force necessary to hold the two parts of the sphere together is:

$\int(x+1)^2 e^x d x$ is equal to

$\sec ^2(\tan ^{-1} 2) + \operatorname{cosec}^2(\cot ^{-1} 3)$ is equal to