mplete the sentences: if the dimensions of a rectongular prism are all doubled, then the volume of the prist if the dimensions of a rectangular prism are all halved, then the volume of the prism

3. The angle of elevation of a jet is \( 43^{\circ} \) and \( 62^{\circ} \) from two locations 28.5 km apart. Conlculate the hoight of the get.

The electric potential \( V \) at a point is given by \( V(x, y, z)= \) \( A\left(y^{2}-x^{2}\right) \exp \left(-B z^{2}\right) \), where \( A= \) \( 15 \mathrm{Vm}^{-2} \) and \( B=2.5 \mathrm{~m}^{-2} \) (i) Find the magnitude of the electric field vector on the positive \( x \)-axis at at point 1 m from the origin. (ii) Determine the curl of the electric field in part(i) above.

The electric potential \( V \) at a point is given by \( V(x, y, z)= \) \( A\left(y^{2}-x^{2}\right) \exp \left(-B z^{2}\right) \), where \( A= \) \( 15 \mathrm{Vm}^{-2} \) and \( B=2.5 \mathrm{~m}^{-2} \) (i) Find the magnitude of the electric field vector on the positive \( x \)-axis at at point 1 m from the origin. (ii) Determine the curl of the electric field in part(i) above.

2) Diberi \( \frac{x+8}{4 x-1}=\frac{y}{2} \) a) ungluplean y dalam sebutar \( x \) b) Jita \( x=1 \) cari nilai \( y \)

Exprimer les propositions suivantes à l'aide des quantificateurs et connecteurs logiques puis indiquer la valeur de vérité de chacun d'elles : \( P_{1}: \) il existe au moins un nombre rationnel dont le carré vaut 2 » \( P_{2}: \) Le carré de tout réel est positif» \( P_{3}: \) 《'équation \( x^{2}-2 x-3=0 \) admet au moins une solution réelle »