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NemiM [27]
4 years ago
14

Two scientists are measuring lava temperatures. One scientist records temperature of 1725 degrees Fahrenheit. The other scientis

t records a temperature of 950 degrees Celsius. Which is the greatest temperature? (Use C= 5/9(F - 32)
Mathematics
1 answer:
Dmitry [639]4 years ago
5 0
We will convert all units to degree Celcius in order to be able to compare the values.
We are given the following relation:
T(°C)<span> = (</span>T(°F)<span> - 32) × 5/9
</span>
Therefore:
Scientist 1 records a temperature of  1725 degree Fahrenheit which is equivalent to:
T(°C)<span> = (1725</span><span> - 32) × 5/9 = 940.556 degrees celcius
Scientist 2 records a temperature of 950 degrees celcius.

By comparing the values, we will find that the temperature measured by scientist 2 has a greater value.
</span>

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
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Answer:

\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

f(x)=\frac{u(x)}{v(x)}\\, the derivative is express as

\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }

from y=lnx/x^{2}

we assign u(x)=lnx and v(x)=x^2

and the derivatives

\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\.

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e y=lnx\\\frac{dy}{dx}=\frac{1}{x}

If we substitute values into the quotient expression we arrive at

\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}

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3 years ago
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7 0
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What kind of problem is this?
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The sum of j and 7 is 55. Solve for j.??
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% can always be replaced by divide by 100.

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4 years ago
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