The rate of change of volume of a sphere with respect to its surface area, when radius is 4 cm, is equal to

For the given values 27, 35, 42, 45, 51, 34, 43; the five yearly moving averages are:

Consider the LPP, Min \(Z=3 x-2 y\) subject to the conditions
\(
\begin{array}{l}
4 x+3 y \geq 12 \\
4 x+y \geq 4 \\
x \geq 0, y \geq 0
\end{array}
\)
then which of the following is correct?

A line through the points \(A(3,4,1)\) and \(B(5,1,6)\) is drawn.
The coordinates of the points where the line through the points \(A \backslash \& B\) crosses the \(X Y\) plane is:

If a matrix \(A=\left[\begin{array}{cc}5 & -8 \\ -3 & 5\end{array}\right]\) then which of the following is / are TRUE?
(A) |A| = 1
(B) A is a singular matrix.
(C) \(-2 A=\left[\begin{array}{cc}10 & -16 \\ -6 & 10\end{array}\right]\)
(D) \(A I=\left[\begin{array}{ll}5 & 0 \\ 0 & 5\end{array}\right] I\) is an identity matrix of order 2.
Choose the correct answer from the options given below:

Angle between tangents to the curve \(y=x^2-5 x+6\) at the points \((2,0)\) and \((3,0)\) is :

The integral \(\int \frac{d x}{x^2\left(x^4+1\right)^{\frac{3}{4}}}\) equals __________ .

In a linear programming problem, the constraints on the decision variables \(x\) and \(y\) are \(x-3 y \geq 0, y \geq 0,0 \leq x\) \(\leq 3\). The feasible region :

The value of \(x\) for which the slope of the curve \(y=-x^3+3 x^2+x^2+9 x-27\) is maximum, is:

Arrange the range of frequencies of the following series of hydrogen atom in ascending order
(A) Balmer
(B) Lyman
(C) Paschen
(D) Bracket
Choose the correct answer from the options given below:

Match List-I with List-II

List-I	List-II
(A) Intrinsic semiconductor	(I) Number of conduction electrons >> number of holes
(B) n-type semiconductor	(II) Number of conduction electrons << number of holes
(C) p-type semiconductor	(III) Net current is zero
(D) p-n junction under equilibrium	(IV) Number of conduction electrons = number of holes

Choose the correct answer from the options given below:

Read the passage carefully and answer the questions
The coordination compounds are of great importance. These compounds are widely present in the mineral, plants and animal world and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine. For example, coordination compounds find use in many qualitative and quantitative chemical analysis. Some important metal extraction and purification make use of complex formation. Hardness of water can be estimated by stable complex formation of Ca\(^{2+}\) and Mg\(^{2+}\)
In photography undecomposed AgBr is removed as ___________

Reserpine is an active chemical of which plant?