Step 1: Identify the deepest and shallowest features.
- The Continental shelf (B) is the shallow, submerged extension of a continent. It is the shallowest feature listed.
- The Abyssal plains (C) are the vast, flat, deep regions of the main ocean basin. They are the deepest feature listed.
Step 2: Place the intermediate features.
- The Continental slope (A) is the steep incline that marks the boundary between the continental shelf and the deep ocean basin.
- The Continental rise (D) is a wedge of sediment that accumulates at the base of the continental slope. It is therefore deeper than the slope but shallower than the abyssal plain.
Step 3: Form the sequence from shallow to deep. The order starting from the coast and moving to the deep ocean is: Continental shelf (B) \(\rightarrow\) Continental slope (A) \(\rightarrow\) Continental rise (D) \(\rightarrow\) Abyssal plain (C).
Step 4: Reverse the sequence to get the order from deep to shallow. The required order is: Abyssal plain (C) \(\rightarrow\) Continental rise (D) \(\rightarrow\) Continental slope (A) \(\rightarrow\) Continental shelf (B). The sequence is C, D, A, B.
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: