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3 years ago

What is the Limited Development of ln(x+cosx) ?

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

3 0

Answer:

A quick hack is often to partially express some function in terms of a Taylor approximation about x0, since higher order terms of x go to zero if we are considering limits for (x−x0)→0. To really answer your question we need to know what the original question was, that is, about which point do you want the expansion? Let us assume around 0. Then we have the Maclaurin series:

cos(x)=1−12x2+O(x4)

You can add more terms if you need to. Now we write:

ln(1+(−12x2))=…

Do you know the standard Maclaurin series for this function?

Hint: it is of the form ln(1+u)

Step-by-step explanation:

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3 years ago

2y^2-10y^2+9y-45 Factor polynomial completely

hammer [34]

Answer:

-8y^2+9y-45

Step-by-step explanation:

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3 years ago

Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i

lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

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3 years ago

Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels. How many cups of

cupoosta [38]

Answer:

Ted will need $3\frac{3}{4}$ cups of pretzels to make 15 cups of trail mix.

Step-by-step explanation:

Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels.

So, 1/4 cup of pretzels to make 1 trail mix

x cups of pretzels to make 15 trail mix

Using the ratio and proportional

∴ x = (1/4) * 15 = 3.75 = $3\frac{3}{4}$ cups.

Ted will need $3\frac{3}{4}$ cups of pretzels to make 15 cups of trail mix.

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3 years ago

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Hatshy [7]

Answer:

x= 52

Step-by-step explanation: you have a 90 degree angle the other side would be 90 also. you take 90 and subtract 38 to get the missing value?

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3 years ago