What is the maximum number of rectangular components into which a vector can be split in space?

For $x \in \mathbb{R}$,the range of $3 \cos (4x - 5) + 4$ lies in the interval

Which of the following equilibria will shift to the right side on increasing the temperature?

The resistance of an ammeter is $13 \Omega$ and its scale is graduated for a current up to $100 \text{ A}$. After an additional shunt has been connected to this ammeter,it becomes possible to measure currents up to $750 \text{ A}$ by this meter. The value of the shunt resistance is

Two small drops of mercury,each of radius $R$,coalesce to form a single large drop. The ratio of the total surface energies before and after the change is

If $3$ is a root of $x^2+kx-24=0$,then it is also a root of which of the following equations?