Q221. If determinant of a matrix \(A\) is Zero then \(_{-----------}\).

Q222. What is the derivative of the constant function \(f(x) = 5\) with respect to \(x\)?

Q223. If \(g(x) = 4x^3 - 3x^2 + 2x - 5\), what is \(g^{'}(x)\), the derivative of \(g(x)\) with respect to \(x\)?

Q224. The engineer recommended using a ___________ material for the bridge construction to ensure durability.

Q225. Identify the indirect object in the sentence: "She gave her friend a gift."

Q226. If \(f(x) = sin(x)\), what is \(f^{'}(x)?\)

Q227. Select the sentence with the correct use of "apart" and "a part."

Q228. \(\mathbf{Passage:}\) Computers process data using binary code, which consists of combinations of 0s and 1s. This binary language allows computers to perform complex tasks, from simple calculations to running sophisticated software. Q.1: What is the fundamental language used by computers for processing data? Q.2: What does binary code consist of?

Q229. Find \(\int_{0}^{\pi} \sin ^2 x dx\).

Q230. Find the correct answer: \(\int \frac{3}{3x^2 + 27} \: dx\).