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IRISSAK [1]
3 years ago
13

Find N' after N(2, 3) was reflected over the line y = x + 2.

Mathematics
1 answer:
garri49 [273]3 years ago
5 0

Answer:

Step-by-step explanation:

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For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec
telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

4sin(x^2) = 0

sin(x^2) = 0

x^2 = n\pi where n = 0, 1, 2,3, 4, 5,...

x = \sqrt(n\pi)

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0

xcos(x^2) = 0

x = 0 or

cos(x^2) = 0

x^2 = \frac{\pi}{2} + n\pi where n = 0, 1, 2, 3

x = \sqrt{\pi(n+1/2)}

Since we are restricting x between 0 and 3 we can stop at n =  2

So our critical points are at

x = 1.25, y = f(1.25) = 4sin(1.25^2) = 4

x = 2.17 , y = f(2.17) = 4sin(2.17^2) = -4

x = 2.8, y = f(2.8) = 4sin(2.8^2) = 4

For the inflection point, we can take the 2nd derivative and set it to 0

f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0

cos(x^2) = 2x^2sin(x^2)

tan(x^2) = \frac{1}{2x^2}

We can solve this numerically to get the inflection points are at

x = 0.81, y = f(0.81) = 4sin(0.81^2) = 2.44

x = 1.81, y = f(1.81) = 4sin(1.81^2) = -0.54

x = 2.52, y = f(2.52) = 4sin(2.52^2) = 0.27

3 0
3 years ago
Determine whether the underlined numerical value is a parameter or a statistic. Explain your reasoning. In a certain soccer leag
Gennadij [26K]

Answer:

Step-by-step explanation:

A Parameter is a value that represents a property of a population. This could be the population mean.

A statistic is a value that represents a property of a sample. This could be the sample mean.

In the given scenario, the population is the entire 14 teams. This means that the percentage given is a value representing a property of the population. Therefore, the correct answer is

C. Parameter, because the data set of all 14 teams is a population.

4 0
3 years ago
Please help me. Please....
Nadusha1986 [10]

Answer:

20

Step-by-step explanation:

1/2(a+b)=180

1/2(6+12)=18

1/2(18)=180

9/9=180/9

=20

8 0
3 years ago
What is the median of 16, 20, 20, 23, 25, 27, 29, 31, 31, and 32.
seraphim [82]

Answer:

27

Step-by-step explanation:

The madian is gis

5 0
3 years ago
How much chocolate will each person get if 3 people share a half pound equally?
SIZIF [17.4K]
Each person would get 1/6 of the half pound. 

1/2 divided by 3= 1/6
7 0
3 years ago
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