Step 1: Understand the function of BIOS.
The BIOS is firmware used to perform hardware initialization during the booting process (power-on startup) and to provide runtime services for operating systems and programs. It needs to be non-volatile, meaning its contents are preserved even when the power is turned off.
Step 2: Evaluate the memory types.
(A) ROM (Read-Only Memory) is non-volatile and, in its classic form, is programmed at the factory. This fits the requirement for storing permanent firmware like the BIOS.
(B) DRAM (Dynamic Random-Access Memory) is volatile memory used as the main system memory. It loses its contents when power is removed.
(C) Flash Memory is a type of non-volatile memory that can be electronically erased and reprogrammed. Modern motherboards use Flash Memory for the BIOS to allow for easy updates, but it is fundamentally a type of ROM (specifically, EEPROM).
(D) SRAM (Static Random-Access Memory) is a type of volatile memory, typically used for CPU caches due to its high speed.
Conclusion: Traditionally, BIOS is stored in ROM. While flash memory is the modern implementation, ROM is the correct general category.
If \(f(t)\) is the inverse Laplace transform of \( F(s) = \frac{s+1+s^{-2}}{s^2-1} \), then \(f(t)\) is
Match LIST-I with LIST-II
LIST-I (Differential Equation)
(A) \(\frac{dy}{dx} = 2x(y-x^2+1)\)
(B) \(x\frac{dy}{dx} + 2(x^2+1)y=6\)
(C) \((x^2+1)\frac{dy}{dx} + 2xy = x \sin x\)
(D) \(x^3\frac{dy}{dx} + 2xy = 2x^2e^{x^2}\)
LIST-II (Integrating Factor)
(I) \(x^2\)
(II) \(e^{-x^2}\)
(III) \(x^2e^x\)
(IV) \(1+x^2\)
Choose the correct answer from the options given below: