Step 1: Recall the major components of sea salt.
Seawater has an average salinity of about 3.5%, meaning 35 parts per thousand. This dissolved salt is composed of several different ions.
Step 2: List the major salts by their abundance.
The most common salts, formed from the major ions, are listed below in order of decreasing abundance:
1. Sodium chloride (NaCl) - By far the most abundant, making up over 77% of sea salt.
2. Magnesium chloride (MgCl\(_2\)) - The second most abundant.
3. Magnesium sulfate (MgSO\(_4\)) - The third most abundant.
4. Calcium sulfate (CaSO\(_4\)) - The fourth most abundant.
(Note: Copper sulfate, CuSO\(_4\), as written in the original question, is a trace component at best and is considered a typo for Calcium sulfate).
Step 3: Form the sequence based on the given letters. The order from most abundant to least abundant is: D (NaCl) \(\rightarrow\) A (MgCl\(_2\)) \(\rightarrow\) C (MgSO\(_4\)) \(\rightarrow\) B (CaSO\(_4\)). The sequence is D, A, C, 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: