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2 years ago

Recognizing Right Triangle Scenarios

Mathematics

1 answer:

Alex Ar [27]2 years ago

6 0

Answer:

Wendy leaves school to go home. She walks 60 yards north and then 80 yards west. She is 10 yards from the school.

Step-by-step explanation:

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Differentiate x^2 e^x logx

zimovet [89]

Product rule:

$\dfrac{\mathrm d}{\mathrm dx}(x^2e^x\log x)$

$=\dfrac{\mathrm d(x^2)}{\mathrm dx}e^x\log x+x^2\dfrac{\mathrm d(e^x)}{\mathrm dx}\log x+x^2e^x\dfrac{\mathrm d(\log x)}{\mathrm dx}$

Power rule:

$\dfrac{\mathrm d(x^2)}{\mathrm dx}=2x$

The exponential function is its own derivative:

$\dfrac{\mathrm d(e^x)}{\mathrm dx}=e^x$

Assuming the base of $\log x$ is $e$ , its derivative is

$\dfrac{\mathrm d(\log x)}{\mathrm dx}=\dfrac1x$

But if you mean a logarithm of arbitrary base $b$ , we have

$y=\log_bx\implies x=b^y=e^{y\ln b}\implies1=e^{y\ln b}\ln b\dfrac{\mathrm dy}{\mathrm dx}$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^{-y\ln b}}{\ln b}=\dfrac1{b^y\ln b}$

$\implies\dfrac{\mathrm d(\log_bx)}{\mathrm dx}=\dfrac1{x\ln b}$

So we end up with

$2xe^x\log x+x^2e^x\log x+\dfrac{x^2e^x}x$

$=xe^x(2\log x+x\log x+1)$

8 0

2 years ago

Answer my questions and i will mark you as brainliest i promise trust me

Kazeer [188]

Answer:

1.042g/cm^3

Step-by-step explanation:

4 0

3 years ago

Can a triangle have sides with the given lengths? Explain.

Nookie1986 [14]

No because when you add any 2 sides the answer has to be bigger than the 3rd side

ex: 2+7=9
9 is too small, so the tips of the side that is 2ft would not touch the side that is 7ft

4 0

2 years ago

There are tickets numbered 1 to 20 that are mixed up and drawn at random. What is the probability that the ticket drawn is numbe

Travka [436]

Answer:

2/20

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,

6 0

2 years ago

Read 2 more answers

Cevabını yazarmısınız

Anit [1.1K]

Answer:

it is side ways

Step-by-step explanation:

6 0

2 years ago