WHAT’S IN A NAME

People from cultures around the globe have always believed names have magical powers, and that just by giving a certain name, you can instill positive qualities in your baby. It is such “magical” or even sub-conscious thinking that may have been behind names such as Faith, Hope, and Charity, which were popular many years ago in the U.S.

Astrological names, for example, are chosen according to the time of birth, in the hopes that such names will be lucky and work with harmony under the stars. A child born under the sign of Leo might be given a name that means lion – the zodiac symbol of Leo. Oriental astrologers believe there must be a balance of the basic elements – earth, fire, metal, water, air and wood – to have a smooth course in life. When a baby’s horoscope is read, if there appears to be too much of one element, metal for example, the baby might be given a name which means “Earth” to balance the elements in his/her life.

Names are chosen for a variety of reasons. Sometimes, names have deep personal meaning for the parents, or they have traditionally been names given to children in their families. Some names have religious significance for the parents, and others are chosen simply because the parents like the sound of the name. Whatever the reason, it is important for parents to remember that, like it or not, others will form opinions about their child according to their name. Research has shown that people are often stereotyped as successful, plain, popular or otherwise all because of their name.

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Dados os pontos P = (1, 2, 1), Q = (1, 1, 1) e o plano !$ \pi !$: x – y + z – 1 = 0, pode-se afirmar que:

Se !$ A = (a_{ij})_{nxn} !$ é uma matriz que tem em cada linha elementos em progressão aritimética, então:

O valor, em unidades de área, da área limitada pelas curvas!$ y = x^2 – x !$ e !$ y = –2x^2 + 2x !$ é:

A solução geral da equação diferencial linear !$ x { \large dy \over dx} + y = 2x !$ é:

A reta tangente à curva !$ y = e^{x^2 - x} !$ que é paralela ao eixo dos x, tem como ponto de tangência:

A solução do problema de valor inicial !$ \begin{cases} { \large dy \over dx} + 2xy = x \\ y(0) = -3 \end{cases} !$ é:

A equação da reta tangente à curva y = x │x│ no ponto de abscissa x = 1 é:

O resultado da integral !$ \int_{0}^{{ \large \pi \over 4}} !$ (tgx)dx é:

Os números complexos x e y para os quais x + y.i = i e x.i + y = 2i – 1 são: