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grigory [225]
2 years ago
5

Which part of the algebraic expression 7a - 4 is the constant? 7a4 4 7 a O7

Mathematics
1 answer:
Pavel [41]2 years ago
3 0
Constant is 4. 7a has a variable so that can’t be a constant value. The only option left in the expression is 4
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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
wlad13 [49]

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}}

8 0
3 years ago
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yawa3891 [41]

Answer:

<em>x</em> = 28 Hours

Step-by-step explanation:

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The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches What is the height of the tr
ExtremeBDS [4]
The height of the triangular base of the pyramid is calculated through the equation,
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where h is height and x is half of the angle of the triangle. Since the triangle is equilateral, the value of  x is 30°. Substituting,
                                        h = (cos 30°)(18 in)
                                        h = 15.59 in
Thus, the height of the base is approximately 15.59 inches. 
6 0
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Ad libitum [116K]

Answer:

A. y=-5/3x+1

Step-by-step explanation:

7 0
3 years ago
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