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Viruses are NOT capable of which of the following functions?
Viruses are acellular and do not carry out metabolic processes like excretion. They can form crystals outside hosts, infect bacteria, and mutate (e.g., RNA viruses).
For decades, economists believed that increased productivity would naturally lead to higher wages. However, recent studies indicate that while productivity has surged, wage growth has stagnated, suggesting that other structural factors β such as labor market policies, globalization, and technological automation β may be influencing income distribution.
Sub-Questions:
The passage emphasizes that higher productivity no longer ensures wage increases because of other structural factors β exactly what option C states.
Let $S=\left\{t\in\mathbb{R}: f(x)=|x-\pi|\cdot(e^{|x|}-1)\sin|x|\right.$ is not differentiable at $t\}$. Find $S$.
Check $x=0$: $f(x)=|x-\pi|(e^{|x|}-1)\sin|x|$. Near $x=0$, both $(e^{|x|}-1)$ and $\sin|x|$ have factors of $|x|$, so $f(x)\approx |x-\pi|\cdot|x|^2$ near 0, which is differentiable at 0.
Check $x=\pi$: near $\pi$, $(e^{|x|}-1)\sin|x|$ is smooth and non-zero ($e^\pi\sin\pi=0$!). Since $\sin\pi=0$, the product $(e^{|x|}-1)\sin|x|$ vanishes at $\pi$, making $f(x)=0$ near $\pi$ β wait, $\sin\pi=0$, so $f(\pi)=0$. Checking differentiability more carefully shows $f$ is differentiable at $\pi$ too.
Therefore $S=\boldsymbol{\emptyset}$.
A machine has an original cost of Rs. 19,00,000 and installation charges of Rs. 1,00,000. Its useful life is 5 years and residual value is Rs. 40,000. Using the Straight Line Method, what is the depreciation charge for the 4th year?
Total cost $= 19{,}00{,}000 + 1{,}00{,}000 = Rs.\ 20{,}00{,}000$
Depreciable amount $= 20{,}00{,}000 - 40{,}000 = Rs.\ 19{,}60{,}000$
Annual depreciation (SLM) $= \dfrac{19{,}60{,}000}{5} = Rs.\ 3{,}92{,}000$
Under the Straight Line Method, depreciation is equal every year. So the 4th year's depreciation is also Rs. 3,92,000. There is no change between years in SLM.
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