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prohojiy [21]
3 years ago
11

Is 137 degrees the same as c degrees? If not, someone explain please.

Mathematics
1 answer:
aev [14]3 years ago
4 0
Yes it is. Also, a= 43 & b=43
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There were 6.04 gallons of water in Karen's bathtub. Then 0.24 gallons drained out. How much water is left in the bathtub?
san4es73 [151]

Answer:

5.8 gallons in tub

Step-by-step explanation:

6.04-.24=5.8

8 0
2 years ago
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
65.874 to 1 decimal place
kiruha [24]

then its 658.74 or 6.5874

3 0
2 years ago
A spinner is half red and half blue. If you spin the spinner twice, what is the probability that you will get red both times?
Usimov [2.4K]

Answer:  Probability of getting red both times is \frac{1}{4}

Step-by-step explanation:

Since we have given that

A spinner is half red and half blue.

Probability of getting red is given by

\frac{1}{2}

Probability of getting blue is given by

\frac{1}{2}

Since he spins the spinner twice.

Probability that you will get red both times is given by

\frac{1}{2}\times \frac{1}{2}\\\\=\frac{1}{4}

Hence, Probability of getting red both times is \frac{1}{4}

4 0
2 years ago
The product of 23<br>and 20<br>​
Anna007 [38]
460 is your answer

20 x 23 = 460
7 0
2 years ago
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