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3 years ago

What is the formula for the area of a square?

2 answers:

8 0

If the square has a side length of "s"

then the area of the square and be represented as
$A=s^2$ or $A= s\times s$

where A means the Area

LuckyWell [14K]3 years ago

8 0

Triangle= A=H b/2

rectangle=A=lw

spuare= A=A2

I hope you got it rigt

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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

3 years ago

GIVING BRAINLIEST!!!!!!

Savatey [412]

List the four types of organic macromolecules. Please provide specific molecular examples of each.

6 0

3 years ago

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Use the formula for computing future value using compound interest to determine the value of an account at the end of 6 years if

nadezda [96]

Answer: the value of the account at the end of 6 years is is $8577

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 6000

r = 6% = 6/100 = 0.06

n = 4 because it was compounded 4 times in a year.

t = 6 years

Therefore,.

A = 6000(1+0.06/4)^4 × 6

A = 6000(1+0.015)^24

A = 6000(1.015)^24

A = $8577

5 0

3 years ago

Please Help Asap!!!!!!!!!!

timurjin [86]

Answer:

Step-by-step explanation:

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3 years ago

What is an equation for the line that passes through the coordinates (2, 0) and (0, 3)?

alexdok [17]

Answer:
Not sure if this is correct but I hope this helps :)

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3 years ago