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2 years ago

3.7 x 10 to the power of 2

Mathematics

1 answer:

bekas [8.4K]2 years ago

8 0

Answer:

1369

Step-by-step explanation:

3.7 x 10 = 37 x 37 = 1369

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Differentiate x^2 e^x logx

zimovet [89]

Product rule:

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

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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

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

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

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2 years ago

Hazel wants to build a concrete patio that will be 9 yards by 11 yards. It will cost $4.00 per square yard to build. What will b

Serggg [28]

Answer:

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Step-by-step explanation:

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area of the patio = area of a rectangle = length x breadth = 11 x 9 = 99 yards^2

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Read 2 more answers

3.7 x 10 to the power of 2​

3.7 x 10 to the power of 2