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Molodets [167]
2 years ago
7

What is the value of x,if x=3²​

Mathematics
2 answers:
KatRina [158]2 years ago
7 0

Answer:

x=9

Step-by-step explanation:

x = 3^2

x = 3*3

x=9

igor_vitrenko [27]2 years ago
7 0
The answer to ur question is x=9
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Does there exist a di↵erentiable function g : [0, 1] R such that g'(x) = f(x) for all x 2 [0, 1]? Justify your answer
agasfer [191]

Answer:

No; Because g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R

Step-by-step explanation:

Assuming:  the function is f(x)=x^{2} in [0,1]

And rewriting it for the sake of clarity:

Does there exist a differentiable function g : [0, 1] →R such that g'(x) = f(x) for all g(x)=x² ∈ [0, 1]? Justify your answer

1) A function is considered to be differentiable if, and only if  both derivatives (right and left ones) do exist and have the same value. In this case, for the Domain [0,1]:

g'(0)=g'(1)

2) Examining it, the Domain for this set is smaller than the Real Set, since it is [0,1]

The limit to the left

g(x)=x^{2}\\g'(x)=2x\\ g'(0)=2(0) \Rightarrow g'(0)=0

g(x)=x^{2}\\g'(x)=2x\\ g'(1)=2(1) \Rightarrow g'(1)=2

g'(x)=f(x) then g'(0)=f(0) and g'(1)=f(1)

3) Since g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R

Because this is the same as to calculate the limit from the left and right side, of g(x).

f'(c)=\lim_{x\rightarrow c}\left [\frac{f(b)-f(a)}{b-a} \right ]\\\\g'(0)=\lim_{x\rightarrow 0}\left [\frac{g(b)-g(a)}{b-a} \right ]\\\\g'(1)=\lim_{x\rightarrow 1}\left [\frac{g(b)-g(a)}{b-a} \right ]

This is what the Bilateral Theorem says:

\lim_{x\rightarrow c^{-}}f(x)=L\Leftrightarrow \lim_{x\rightarrow c^{+}}f(x)=L\:and\:\lim_{x\rightarrow c^{-}}f(x)=L

4 0
3 years ago
The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The othe
Ann [662]
Answer:
The second tv option (cheaper by $1)

Step by step explanation:
To find how much the first tv will cost all together complete the equation:
$330 + $14 * 8 = $442
Second tv cost:
$369 + $9 * 8 = $441

Hope this helps
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5 0
2 years ago
Serenity Spa charges $59 for a one hour massage. They charge $0.95 per minute for each additional minute over an hour. If
Yanka [14]

Answer:

D. y = 0.8x + 79

Choices:

A.  

y = 79x + 0.8

B.  

y = -0.8x + 79

C.  

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D.  

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3 years ago
-1/3 + (-7/4)<br><br> Ill give this cookie to who solves it
elena-14-01-66 [18.8K]

Answer:

-25/12

Step-by-step explanation:

first, you need a common denominator. in this case, it's 12.

-1/3=-4/12

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and then you add

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5 0
2 years ago
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yulyashka [42]

Answer:

Undefined

Step-by-step explanation:

m = Δy / Δx

m = (12 − -8) / (-6 − -6)

m = 20 / 0

m = undefined

The slope is undefined.

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3 years ago
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