Problemas matemáticos Mystery Cache

Para encontrar a cache é necessário resolver os problemas matemáticos que são apresentados para, posteriormente, tirar as coordenadas geográficas.

To find the cache you need to solve the mathematical problems that are presented to then take the geographic coordinates.

Questions:

a)

What the Venn diagram that represents the following situation.
There are 100 people in a garden.
P = {People speak Portuguese}
I = {People speak English}
Ω = {People there are in the garden}

To obtain the value of (a) have to calculate the value of P ∩ I

b)
Represent the complex z1 in algebraic form that be down.
The value for b is given as Re (z) that be down.

c)
Make f ' and determine the zeros of the function.
The value of (c) is zero or one of the zeros of the first derivative of the function shown.

d)
The edge of the cube [OABCDEFG] edge has six units.
The value of d will be the result of rounding to the units of the value of the diagonal of a cube plane. For example, the plan [ABCO] and a diagonal [OB].

e)

Calculate the shown limit, adding three units to the result to obtain the value of (e).