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2 years ago

Consider the differential equation

2 answers:

7 0

Answer: For this problem I used the separation method instead of plugging in each one. I thought this would be easiereasier.to

Step-by-step explanation:

Gennadij [26K]2 years ago

4 0

The first solution is quadratic, so its derivative y' on the left side is linear. But the right side would be a polynomial of degree greater than 1, so this is not the correct choice.

The third solution has a similar issue. The derivative of √(x² + 1) will be another expression involving √(x² + 1) on the left side, yet on the right we have y² = x² + 1, so that the entire right side is a polynomial. But polynomials are free of rational powers, so this solution can't work.

This leaves us with the second choice. Recall that

1 + tan²(x) = sec²(x)

and the derivative of tangent,

(tan(x))' = sec²(x)

Also notice that the ODE contains 1 + y². Now, if y = tan(x³/3 + 2), then

y' = sec²(x³/3 + 2) • x²

and substituting y and y' into the ODE gives

sec²(x³/3 + 2) • x² = x² (1 + tan²(x³/3 + 2))

x² sec²(x³/3 + 2) = x² sec²(x³/3 + 2)

which is an identity.

So the solution is y = tan(x³/3 + 2).

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What is the y-intercept of y = 5x - 1?

Serhud [2]

Answer:

Given Equation: y=5x-1

as we know that the y intercept have, x coordinate(absicasse) equal to 0

so,put x=0 to get y intercept

i.e, y =5×0 -1

i.e, y= -1

✌️:)

8 0

3 years ago

Como soluciono equaciones =0

Rom4ik [11]

Step-by-step explanation:

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3 years ago

What is the value of X pls dont sent false links

DiKsa [7]

Answer:

x = 43°

Step-by-step explanation:

The chord- chord angle AED is half the sum of the arcs intercepted by the angle and its vertical angle, that is

x = $\frac{1}{2}$ (54 + 32)° = $\frac{1}{2}$ × 86° = 43°

8 0

3 years ago

An electronic device factory is studying the length of life of the electronic components they produced. The manager selects two

Temka [501]

Answer:

The confidence interval will be given by:

$200000 \pm 44.72z$ , in which z is related to the confidence level.

For a confidence level of x%, z is the value in the z-table that has a pvalue of $1 - \frac{1 - z}{2}$

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In the context of this problems:

It means that the sampling distributions of the sample mean of 500 components will be approximated normal, with mean 200,000 and standard deviation $s = \frac{1000}{\sqrt{500}} = 44.72$

To build the confidence interval:

The confidence interval for the average length of life of the electronic components they produced will be given by:

$200000 \pm 44.72z$ , in which z is related to the confidence level.

For a confidence level of x%, z is the value in the z-table that has a pvalue of $1 - \frac{1 - z}{2}$

3 0

3 years ago

For the piecewise function, find the values g(-1), g(2), and g(5). g(x)= x+4, for x≤2 9-x, for x>2

Lelechka [254]

Answer:

g(-1) = 3, g(2) = 6, g(5) = 4

Step-by-step explanation:

Please refer to attached photo. (Apologies for the terrible handwriting.)

From here we can see,

g(x) = x + 4 applies for values x less than or equal to 2.

g(x) = 9 - x applies for values x more than 2 (which does not include 2.)

g(-1):

Since -1 < 2,

g(-1) = -1 + 4 = 3

g(2) = 2 + 4 = 6

g(5):

Since 5 > 2,

g(5) = 9 - 5 = 4

7 0

2 years ago