What are Twin Prime Numbers?

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ALOK_RAJ Asked Aug 5, 2023

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If A is the set of the divisors of the number 15, B is set of prime numbers smaller than 10 and C is the set of even numbers smaller than 9 , then $(A \cup C) \cap B$ is the set

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Suppose A1, A2,....., A30 are thirty sets each having 5 elements and B1, B2,..., Bn are n sets each having 3 elements. Let $\cup_{i=1}^{30^{\prime}} A_i=\bigcup_{j=1}^n B_j=S$ and each element of $S$ belongs to exactly 10 of $A_i$ 's and exactly 9 of $B_j$ 's

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All natural numbers, whole numbers and integers are —

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Consider the following relations : $R:\{(x, y) \mid x, y$ are real numbers and $x=$ wy for some rational number w;

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In a reaction A (g) + 2 B (g) $\rightleftharpoons$ 2 C (g), 2 moles of ' $A ^{\prime}, 3$ moles of 'B' and 1 mole of 'C' are placed in a 2 L flask and the equilibrium concentration of 'C' is 1 mol / L.

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An electron in a hydrogen atom makes a transition from n1 to n2 where n1 and n2 are principal quantum numbers of the two states.

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Prove that : $\tan ^{-1}\left(\frac{1}{2}\right)+\tan ^{\prime}\left(\frac{1}{5}\right)+\tan ^{\prime}\left(\frac{1}{8}\right)=\frac{\pi}{4}$

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Let $A=\{1,2,3\}$ and $B=\{4,5,6\} f: A \rightarrow B$ is a function defined as $f(1)=4, f(2)=5, f(3)=6$. Write down $f^{\prime}$ as a set of ordered pairs.

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If $g$ is the inverse of a function $f$ and $f^{\prime}(x)=\frac{1}{1+x^5}$, then $g^{\prime}(x)$ equal to:

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