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Nuetrik [128]
3 years ago
10

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)

Grafique la función trigonométrica (2 puntos)
Mathematics
1 answer:
Liula [17]3 years ago
8 0

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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Let f(x)=g(x)h(x), g(10)=-4, h(10)=560, g'(10)=0, and h'(10)=35. find f'(10)
Ulleksa [173]
This question has extraneous info to trick you.
f(x) = g(x)h(x) ⇒ f'(x) = g'(x)h'(x) . Letting x = 10, we get f'(10) = g'(10)h'(10). then just plug in the values provided. g(10) and h(10) are there to throw you off, just use g'(10) and h'(10).
So f'(10), pronounced "eff prime of ten", = 0 * 35 = 0.

If the question were asking for f(10) instead of f'(10) then you would use g(10) and h(10), ⇒-4*560=90.
7 0
3 years ago
PLEASE HELP HELP ME HELP ME HELP ME ITS MATH EZ STUFF
anyanavicka [17]

Answer:

Bruh your in high school yo know this stuff just make everything a decimal to get your answer. Lol you really forgot this?

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Joe spends 18.75% of his working day washing cars. He spends 1.5 hours washing cars. How many total hours does he work per day?
insens350 [35]

Answer:

8 hours

Step-by-step explanation:

Joe spends 18.75% of his working day washing cars.

Joe spends 1.5 hours washing car.

Therefore 18.75% is equal to 1.5 hour.

18.75% = 1.5 hour

1% = 1.5 ÷ 18.75 = 0.08 hour

100% = 0.08 x 100 = 8 hours

4 0
3 years ago
In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of
vovikov84 [41]

Answer:

Check the explanation

Step-by-step explanation:

Following table shows the calculations:

Delta, X      Southwest , Y            X^2              Y^2                      XY

45.96               38.76               2112.3216     1502.3376          1781.4096

46.8                 45.41                2190.24         2062.0681        2125.188

47.93                15.7                 2297.2849      246.49            752.501

51.78                49.58              2681.1684      2458.1764        2567.2524

52.17                44.34              2721.7089      1966.0356        2313.2178

47.36                18                   2242.9696            324               852.48

Total 292       211.79               14245.6934      8559.1077      10392.0488

Sample size: n =6

Now

S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27

S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03

S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94

The coefficient of correlation is :

r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436

7 0
3 years ago
Select the correct answer.
maksim [4K]

Answer: B

Step-by-step explanation:

5 0
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