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strojnjashka [21]
4 years ago
9

What is the domain of f(x) =3 square x?

Mathematics
1 answer:
zhuklara [117]4 years ago
4 0

Answer:

Set of all real numbers

Step-by-step explanation:

Given in the question the equation:

f(x) = ∛(x)

The domain of a cube root function is the set of all real numbers.

The interval notation (-∞ , ∞)

Cube Root of negative numbers exists:

Negative numbers can't have real number square roots, but negative numbers can have real number cube roots because when you are multiplying an odd number of negative numbers, the result is negative.

Example

(-2)³ = (-2)(-2)(-2) = -8

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Let x²y +ay² = b be an Implicitly defined function, where a and b are fixed Constants; find dy/dx
geniusboy [140]

The value of the differential with respect to x is -xy/x²+ay

<h3>Implicit differentiation</h3>

Given the following function

x²y +ay² = b

We are to differentiate implicitly with respect to x

x²dy/dx + 2xy + 2aydy/dx = 0

(2x²+2ay)dy/dx = -2xy
dy/dx = -xy/x²+ay

Hence the value of the differential with respect to x is -xy/x²+ay

Learn more on implicit differentiation here: brainly.com/question/25081524

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3 0
2 years ago
For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?
Butoxors [25]

In the balanced reaction

2 Fe + O₂   →   2 FeO

2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.

Look up the molar mass of Fe and O:

• Fe = 55.845 g/mol

• O = 15.999 g/mol

Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is

(42.4 mol) × (71.835 g/mol) ≈ 3050 g

8 0
3 years ago
THE ORIGINAL CARS Movie MADe 450
Marina86 [1]

Answer:

34% decrease

Step-by-step explanation:

(V1-V2)/V1x100

450-297=153

153/450=0.34

0.34 x 100=34

34% decrease

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3 years ago
What is the recursive rule for the sequence?
adoni [48]
An= -2 (an+1), a1 = 5
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4 years ago
Mr. Lowery has 8 3/4 pounds of ground beef that he will use to make hamburgers for a picnic. What is the maximum number of quart
maw [93]
If each burger is 1/4 th of a pound, he can make a maximum of 35 hamburgers

3 from the 3/4ths and 32 from the 8

32+3 = 35
3 0
3 years ago
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