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2 years ago

If h(x) = (fºg)(x) and h(x)= 5(x+1)^3 find one possibility for f (x) and g(x).

Mathematics

1 answer:

viktelen [127]2 years ago

6 0

Answer:

One possibility is that;

g(x) = (x + 1)

while h(x) = 5x^3

Step-by-step explanation:

Here, we are told to find one possibility for f(x) and g(x)

The term h(x) = (Fog)(x) means that we are inserting g(x) into f(x) to give h(x)

Now let’s have it this way;

We can see that g(x) = (x + 1) , then h(x) = 5x^3

This is one possibility of the values of g(x) and h(x)

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2 years ago

The indicated function y1(x is a solution of the given differential equation. use reduction of order or formula (5 in section 4.

Taya2010 [7]

Given a solution $y_1(x)=\ln x$ , we can attempt to find a solution of the form $y_2(x)=v(x)y_1(x)$ . We have derivatives

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we can write the ODE as

$\dfrac{\mathrm d}{\mathrm dx}\left[wx(\ln x)^2\right]=0$

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$y_2=v\ln x=-C_1+C_2\ln x$

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2 years ago

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Scrat [10]

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Step-by-step explanation:

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2 years ago

In a population where 77% of voters prefer Candidate A, an organization conducts a poll of 19 voters. Find the probability that

Rus_ich [418]

Answer:

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Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%

Step-by-step explanation:

We can define X the random variable of interest "number of voters that will prefer Candidate A", since we have a sample size given and a probability of success we can use the binomial distribution to model the random variable. And on this case we can assume the following distribution:

$X \sim Binom(n=19, p=0.77)$