Answer:
a. The critcal points are at
b. Then, 
is a maximum and 
is a minimum
c. The absolute minimum is at 
and the absolute maximum is at 
Step-by-step explanation:
(a)
Remember that you need to find the points where
Therefore you have to solve this equation.
From that equation you can factor out 
and you would get
And from that you would have 
, so 
.
And you would also have 
.
You can factor that equation as 
Therefore 
.
So the critcal points are at
b.
Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since
Then, is a maximum and is a minimum
c.
The absolute minimum is at and the absolute maximum is at
Answer:
P = (12/27)*(11/26) = 0.188
Step-by-step explanation:
Si todos tienen la misma probabilidad de estar en cargo de presidente y vicepresidente, entonces:
La probabilidad de que una mujer sea presidente, es igual al cociente entre el número de mujeres y el número total de personas:
p = 12/27
Ahora queremos calcular lo mismo para vicepresidente, y el cálculo es exactamente igual, con la diferencia de que en esta situación, ya hay una mujer en el cargo de presidente, entonces hay 11 mujeres que pueden ser vicepresidente, y un total de: (11 + 15 = 26 personas)
Entonces ahora la probabilidad es:
q = 11/26
La probabilidad conjunta (es decir, la probabilidad de que ambos eventos pasen) es igual al producto de las probabilidades individuales.
P = (12/27)*(11/26) = 0.188
Answer:
Step-by-step explanation:
<u>Seven less than the product of a number n and 1/6 is no more than 94, translating:</u>
<u>Solving for n:</u>
- n/6 ≤ 94 + 7
- n/6 ≤ 101
- n ≤ 101*6
- n ≤ 606
Answer:
Step-by-step explanation:
The cube has 6 equal faces.
<u>Total surface area:</u>
- S = 6a²
- S = 6*(0.7 m)² = 6*(70 cm) ² = 29400 cm²
