Demuestra que si un polinomio de grado par tiene una raíz imaginaria, entonces también tiene otras raíces imaginarias.

A different size rectangular box to part (i) has height 15 cm . The box will also contain 12 cylindrical tins, which are all just touching each other and the sides of the box. The layout of the 12 tins within this box will be the same as in part (i). Each tin is 15 cm high, and with radius \( p \mathrm{~cm} \). Show that the proportion of the volume in the box that is NOT occupied by the tins is \( \frac{(4-\pi)}{4} \).

\( \int x ^ { 3 } \sqrt { x ^ { 2 } - 25 } d x \)

Who is the individual credited with coming up with the theory of Evolution by natural selection? Gregor Mendel Charles Darwin Reginald Punnett

emplifica le seguenti espressioni, utilizzando i \( 03\left[(-2)^{3}(-4)^{4}+(-2)^{5}(-4)^{2}\right]:(-8)^{3} \)

What is the value of \( z^{*} \) for \( 98 \% \) confidence? 1.645 2.576 2.326 1.960