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3 years ago

Help I am being timed

Mathematics

1 answer:

Levart [38]3 years ago

3 0

Answer:

Let us say x is a real number and z = a + ib is complex

|x| > 0

|z| = |a + ib| = square-root (a^2 + b^2)

Step-by-step explanation:

|x| > 0 the absolute value of a real number is a nonnegative real number

The |a + ib| = square-root of the sum of the squares of the real components of the complex number

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I am studying for a Calculus test and have the answers for the study guide but I'm having trouble with problems 2, 3, 4 (finding

Mariulka [41]

#2) Use quotient rule
$\frac{f'g - fg'}{g^2}$
Remember for solving log equations:
$e^{ln x} = x$

#3) Derivative of tan = sec^2 = 1/cos^2
Domain of tan is [-pi/2, pi/2], only consider x values in that domain.

#4 Use Quotient rule

#9 Use double angle identity for tan
$tan(2x) = \frac{2tan x}{1-tan^2 x}$
This way you can rewrite tan(pi/2) in terms of tan(pi/4).
Next use L'hopitals rule, which says the limit of indeterminate form(0/0) equals limit of quotient of derivatives of top/bottom of fraction.

Take derivative of both top part and bottom part separately, then reevaluate the limit. <span />

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3 years ago

The number of bank robberies that occur in Lagos is modeled to be Poisson distributed with mean of 1.8 per day. Find the probabi

cupoosta [38]

The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

The probability of getting exactly three robberies in a day is 0.1607.

<h3>What is meant by poison distribution?</h3>

The Poisson distribution is a discrete probability distribution used in probability theory and statistics to express the likelihood that a given number of events will occur within a specified time or space interval if they occur at a known constant mean rate and regardless of the interval since the last event.

The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

In the poison distribution a discrete random variable X has the following probability mass function,

$P(X=x)=\frac{e^{-\lambda} \cdot \lambda^x}{x !}$ , where $\lambda$ is the mean of the distribution and $x=0,1,2,3 \ldots \ldots$

Given that $\lambda=1.8$

The required probability, $P(X=3)=\frac{e^{-1.8} .(1.8)^3}{3 !}=0.1607$

Therefore, the probability of getting exactly three robberies in a day is = 0.1607.

To learn more about poison distribution refer to:

brainly.com/question/9123296

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6 0

1 year ago

Find the solutions to x2 = 28.

mr Goodwill [35]

Answer: $x = \pm2\sqrt{7}\\\\$

Work Shown:

$x^2 = 28\\\\x = \pm\sqrt{28}\\\\x = \pm\sqrt{4*7}\\\\x = \pm\sqrt{4}*\sqrt{7}\\\\x = \pm2\sqrt{7}\\\\$

This can be rewritten into $x = 2\sqrt{7} \ \text{ or } \ x = -2\sqrt{7}$

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3 years ago

Eddie took out a 14-year loan for $72,000 at an APR of 4.7%, compounded monthly, while Lee took out a 14-year loan for $92,000 a

marishachu [46]

**Eddie: $72000/(14yr*12mo)=428.6$/mo+428.6$*(4.7%)/100%
Eddie pays 428.6$/mo+20.14$/mo. If he pays off his loan 6 years earlier he would save: $20.14*6yr*12mo= $1450.08
**Lee: $92000/(14yr*12mo)=547.62$/mo+547.62$*(4.7%)/100%
Lee pays 547.62$/mo+25.74$/mo. If he pays off his loan 6 years earlier he would save: $25.74*6yr*12mo=$1853.28

So its A. <span>Lee would save more, since he has $20,000 more in principal.</span>

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3 years ago

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A customer opens a checking account and a savings account at a bank. They will deposit a maximum of $600, some in the checking a

zhenek [66]

Answer:

Not enough info for a valid answer.

Step-by-step explanation:

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3 years ago

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