Elements such as Cu, Zn, Ag, and Cd exhibit a \(d^{10}\) electronic configuration:
- \([ \text{Cu} ] = [ \text{Ar} ] 3d^{10} 4s^1\),
- \([ \text{Zn} ] = [ \text{Ar} ] 3d^{10} 4s^2\),
- \([ \text{Ag} ] = [ \text{Kr} ] 4d^{10} 5s^1\),
- \([ \text{Cd} ] = [ \text{Kr} ] 4d^{10} 5s^2\).
The Correct answer is: \( {}^{29}\text{Cu}, {}^{30}\text{Zn}, {}^{48}\text{Cd}, {}^{47}\text{Ag} \)
If \[ \frac{dy}{dx} + 2y \sec^2 x = 2 \sec^2 x + 3 \tan x \cdot \sec^2 x \] and
and \( f(0) = \frac{5}{4} \), then the value of \[ 12 \left( y \left( \frac{\pi}{4} \right) - \frac{1}{e^2} \right) \] equals to: