Match List-I with List-II
The function \(f(x)=2 x^3-15 x^2+36 x+5\) for \(x \in[2,5]\) has

List-I	List-II
(A) absolute maximum value	(I) 5
(B) absolute minimum value	(II) 60
(C) point of absolute maxima	(III) 3
(D) point of absolute minima	(IV) 32

Choose the correct answer from the options given below:

If \(y=x^{x \sin x}\) then \(\frac{d y}{d x}=\) ?

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The corner points of the LPP Minimize \(z=5 x+7 y\) subject to the constraints
\(
\begin{array}{l}
2 x+y \geq 8 \\
x+2 y \geq 10 \\
x, y \geq 0 \\
\text { are } A(10,0), B(2,4), C(0,8)
\end{array}
\)
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Living systems are made up of various complex bio-molecules like carbohydrates, proteins, nucleic acids, lipids etc. Proteins and carbohydrates are essential constituents of our food. Carbohydrates are primarily produced by plants and form a very large group of naturally occurring organic compounds. Some common examples are cane sugar, glucose, starch etc.
Carbohydrates are also known as Saccharides because

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Read the following paragraph carefully and answer the given questions.
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Heroin, commonly called smack is chemically ______ which is a white, odourless, bitter crystalline compound.

In a Hydrogen atom there is transition of electron from one orbit to another. Choose the correct option given below in which the emitted photon will have the highest frequency?