Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.
1 answer:
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Answer:
Step-by-step explanation:
<u>Properties of Exponents</u>
The property called Power to a Power shows us how to simplify expressions of the type:
Similarily the property called Power of a product simplifies expressions like:
The company mentioned in the question uses the expression
millimeters per second to calculate the maximum capacity of a photocell with an area of x^3 square millimeters.
First, use the power of a product property:
Now use the power to a power property:
Operate:
i) The given function is
The domain is
ii) For vertical asymptotes, we simplify the function to get;
The vertical asymptote occurs at
iii) The roots are the x-intercepts of the reduced fraction.
Equate the numerator of the reduced fraction to zero.
iv) To find the y-intercept, we substitute into the reduced fraction.
v) The horizontal asymptote is given by;
The horizontal asymptote is .
vi) The function has a hole at .
Thus at .
This is the factor common to both the numerator and the denominator.
vii) The function is a proper rational function.
Proper rational functions do not have oblique asymptotes.
