Dada la función f(x)=1+6Sen(2x+π/3) . Halle: Período, amplitud y desfase (1.5 puntos) Dominio y rango de la función (1.5 puntos)
1 answer:
Dada una ecuación de la forma
<h3>y = A sin(B(x + C)) + D</h3>Tenemos que:
- la amplitud es A
- el periodo es 2π/B
- el desfase es C (a la izquierda es positivo)
- el desplazamiento vertical es D
Sabemos que:
f(x)=1+6Sen(2x+π/3)
Y podemos reescribirla como:
f(x)=6Sen(2(x+π/6))+1
Siendo:
- A = 6 → Amplitud
- T = 2π/B = 2π/2 = π → Período
- C = π/6 → Desfase
- El dominio de un a función trigonométrica es todo el conjunto de los números reales (x ∈ R ).
La imagen de una función trigonométrica de esta forma es:
y ∈ [-A+D,A+D]
y ∈ [-6+1, 6+1]
y ∈ [-5,7]
La gráfica se adjunta.
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Answer: For every 1 can of red paint, the number of yellow paints used by the painter is and
There are approximately 29 cans of yellow paints for 34 cans of red paints.
Step-by-step explanation:
Since we have given that
Number of cans of red paint = 14
Number of cans of yellow paint = 12
According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;
Since the ratio of red paint to yellow paint is given by
So, for every 1 can of red paint, the number of yellow paints used by the painter is
Similarly,
If Number of can of red paint is used = 34
So, Number of cans of yellow paint will be
Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.