2) \( \left(x^{5}+2 x+4 x\right)=\left(-x^{6}+5 x\right)^{2} \)

Which has a value greater than -5.5 : -6.5 or -2.1 ? Explain.

Assume the following: \( \bar{x}=42 \) s=6 \( n=25 \) Calculate confidence intervals for a \( 95 \% \) confidence level. Calculate confidence intervals for a \( 99 \% \) confidence level.

1. State the condition/s at which the Continuity Equation is \( \nabla \cdot \vec{J}=0 \) 2. Derive the Continuity equation (or Local charge conservation), \( \nabla \cdot \bar{J}=-\frac{\partial \rho}{\partial t} \cdot \) (5)

d) \( f(x)=\frac{3 x-1}{x+2} \)

Question(5): Find the conjugate of the number: \( \frac{1}{\sqrt{5}-2} \)