3 years ago

Find out 6 rational numbers between 3 and 4

Mathematics

2 answers:

Alisiya [41]3 years ago

7 0

13/4,14/4,15/4,19/6,20/6,21,6

mixer [17]3 years ago

6 0

Answer:

22/7, 23/7, 24/7, 25/7, 26/7, and 27/7.

Step-by-step explanation:

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3 years ago

Select the two values of x that are roots of this equation.<br> 2x-5=-3x2

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2 years ago

What is the distance between (-5, 3) and (7, 3)?

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Answer:

12 units

Step-by-step explanation:

We would need to ignore the 3 first of all. We know that 3 is located at the same place. We then need to see 7 and -5. The distance from zero of each numbers matter, not the ammount. So (-5) is 5 from zero. (7) is 7 from zero. 5 + 7 = 12 units

4 0

3 years ago

If limx→3f(x)=7, which of the following must be true? I. f is continuous at x = 3 II. f is differentiable at x = 3

Viktor [21]

Without knowing anything else about $f(x)$ , neither of these need be true.

Suppose

$f(x)=|x-3|+7=\begin{cases}10-x&\text{for }x3\\0&\text{for }x=3\end{cases}$

Then (I) isn't true because, while the limit exists as $x\to3$ and is equal to 7, we have $f(3)=0\neq7$ , so $f(x)$ is not continuous there.

(II) also true because $f(x)$ is not differentiable at $x=3$ ; that is,

$\displaystyle\lim_{x\to3^-}f'(x)=\lim_{x\to3}(10-x)'=\lim_{x\to3}(-1)=-1$

but

$\displaystyle\lim_{x\to3^+}f'(x)=\lim_{x\to3}(x+4)'=\lim_{x\to3}1=1$

which means the derivative does not exist at $x=3$ .

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3 years ago