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4 years ago

Find the indefinite integral of 3 radical x / (3 radical x -1)

1 answer:

3 0

Let x=u² so dx=2udu.
∫3√x/(3√x-1) dx=∫6u²du/(3u-1)=∫(2u+⅔+2/(9u-3))du=u²/2+2u/3+2ln|3u-1|+C, where constant C absorbs ln(3).
Substituting for u: x/2+2√x/3+2ln|3√x-1|+C

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Step-by-step explanation:

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Monica uses 3 tablespoons of milk in her custard recipe. The ratio of tablespoons to fluid ounces is 2 : 1. How many fluid ounce

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Step-by-step explanation:

Proportion states that the two ratios or fractions are equal

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Monica uses 3 tablespoons of milk in her custard recipe.

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Step-by-step explanation:

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valentina_108 [34]

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3 years ago

Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the d

larisa [96]

Answer:

a) $P(X$

$P(X>14) = 1-P(X$

b) $P(7< X$

c) We want to find a value c who satisfy this condition:

$P(x$

And using the cumulative distribution function we have this:

$P(x$

And solving for c we got:

$c = 20*0.9 = 18$

Step-by-step explanation:

For this case we define the random variable X as he amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train, and we know that the distribution for X is given by:

$X \sim Unif (a=0, b =20)$

Part a

We want this probability:

$P(X$

And for this case we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a} = \frac{x-0}{20-0}= \frac{x}{20}$

And using the cumulative distribution function we got:

$P(X$

For the probability $P(X>14)$ if we use the cumulative distribution function and the complement rule we got:

$P(X>14) = 1-P(X$

Part b

We want this probability:

$P(7< X$

And using the cdf we got:

$P(7< X$

Part c

We want to find a value c who satisfy this condition:

$P(x$

And using the cumulative distribution function we have this:

$P(x$

And solving for c we got:

$c = 20*0.9 = 18$

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3 years ago