Q401. Find the correct answer: \(\int x^2 (x+3) e^x \: dx\).

Q402. For \( \overline{u} = (1, 2, 1) \) and \( \overline{v} = (1, 0, 2) \) then \( | \overline{u} - \overline{v} | =_{--------} \)

Q403. \(\mathbf{Passage:}\)

The concept of the bystander effect explores the phenomenon where individuals are less likely to intervene in an emergency situation when others are present. This diffusion of responsibility can lead to a collective hesitancy to take action. Understanding the bystander effect is crucial for promoting proactive responses in critical situations.

Q.1: What does the bystander effect explore?
Q.2: What can diffusion of responsibility lead to in the bystander effect?

Q404. Which communication style is characterized by being direct and assertive?

Q405. What is the term for the intentional use of language to create a vivid picture or impression?

Q406. In the sentence "The old castle, shrouded in mist, seemed haunted," which part of speech is "shrouded"?

Q407. What is the derivative of the function \(f(x) = 3x^2\) with respect to \(x\)?

Q408. Find \(\int_{0}^{\pi} \sin ^2 x dx\).

Q409. Identify the sentence with the correct use of "who" and "whom."

Q410. Choose the correct sentence with parallel structure: