1. By the chain rule,

I'm going to switch up the notation to save space, so for example,
is shorthand for
.

We have




Similarly,

where



To capture all the partial derivatives of
, compute its gradient:


2. The problem is asking for
and
. But
is already a function of
, so the chain rule isn't needed here. I suspect it's supposed to say "find
and
" instead.
If that's the case, then


as the hint suggests. We have



Putting everything together, we get


Respuesta:
25 días
Explicación paso a paso:
Dado :
escenario 1
Área = 600 m
Número de días = 12
Número de trabajadores = 30
Tasa = 6
Escenario 2:
Área = 900 m
Número de días = n
Número de trabajadores = 36
Tasa = 6
Igualar los parámetros en cada escenario:
12 / n = 36/30 * 6/10 * 600/900
12 / n = 6/5 * 3/5 * 2/3
12 / n = 6/5 * 1/5 * 2/1
12 / n = 12/25
12 * 25 = 12n
300 = 12n
n = 300/12
n = 25 días
Answer:
A = 76.8 yd²
Step-by-step explanation:
The area (A) of a regular polygon is calculated as
A =
pa ( p is the perimeter and a the apothem )
Here p = 8 × 4 = 32 yd and a = 4.8 yd , then
A =
× 32 × 4.8 = 16 × 4.8 = 76.8 yd²
Answer:
3 unidades de comprimento
Step-by-step explanation:
O perímetro é definido como a soma de todos os lados.
O perímetro de um quadrado de lado 2x é dado por:

O perímetro de um retângulo de comprimento x e largura x² é dado por:

Para que ambos os perímetros sejam iguais:

O valor de x é igual a 3 unidades de comprimento.
Answer:
0.01
Step-by-step explanation:
Your equation is 50 / x = 5,000
You are able to switch this around to 50 / 5,000 = x
Because you know that a x b = c is the same as b x a = c
When you divide 50 by 5,000, you get 0.01
So, 50 divided by 0.01 will get 5,000