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Sati [7]
3 years ago
5

Differentiate f and find the domain of f. (enter the domain in interval notation.)f(x) = ln(x2 − 12x)derivative f '(x) = 2x−12x2

−12x​ correct: your answer is correct.domain
Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0
F(x) = ln(x² - 12x)
The derivative is
f'(x)= \frac{2x-12}{x^{2}-12x}

f(x) is undefined when x² - 12x = x(x - 12) = 0
That is, when x = 0 or x = 12.
Therefore the domain is (-∞, 0)∪(0,12)∪(12, ∞)

Answer:
The derivative is
f'(x) =  \frac{2x-12}{x^{2}-12x}
The domain is
(-∞, 0)∪(0, 12)∪(12,∞)



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Answer:

The first error that Tomas made was added 6 to both sides of the equation instead of subtracting 6

Step-by-step explanation:

Let

x ----> represents the number of pounds of granola

y ----> represents the number of pounds of walnuts

we know that

The linear equation that represent this scenario is

2x+6y=12 -----> equation A

x=3 -----> equation B

substitute equation B in equation A and solve for y

2(3)+6y=12

6+6y=12

Subtract 6 both sides

6+6y-6=12-6

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y=1

so

The number of pounds of walnuts is 1

therefore

The first error that Tomas made was added 6 to both sides of the equation instead of subtracting 6

8 0
3 years ago
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Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switc
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Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switches, each one set on or off. The receiver​ (wired to the​ door) must be set with the same pattern as the transmitter. If six neighbors with the same type of opener set their switches​ independently.<u>The probability of at least one pair of neighbors using the same​ settings is 0.65633</u>

Step-by-step explanation:

<u>Step 1</u>

In the question it is given that

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<u> Step 2</u>

Probability of at least one pair of neighbors using the same settings = 1- Probability of All Neighbors using different settings.

= 1- 16*15*14*13*12*11/(16^6)

<u> Step 3</u>

Probability of at least one pair of neighbors using the same settings=

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<u> Step 4</u>

<u>So the probability of at least </u>one pair of neighbors using the same settings

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3 years ago
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Answer:

\huge \boxed{\mathrm{C}}

Step-by-step explanation:

The domain is the set of all possible values for x.

The function does not cross the line x = 1.

The domain is all real numbers except  1.

The range is the set of all possible values for y.

The function does not cross the line y = 0.

The range is all real numbers except 0.

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5000 rounded to the nearest 10 thousand
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