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REY [17]
3 years ago
11

Please help with these questions

Mathematics
2 answers:
AveGali [126]3 years ago
8 0
5 ft.................
Triss [41]3 years ago
5 0
The number 3 is 64ft that’s I figured sorry
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It's 11 that grade, please help me I'm stuck ​
Arlecino [84]

Answer:

Limit $\lim_{x \to 0} f(x)$ does not exist.

Step-by-step explanation:

To calculate left hand limit, we use a value slightly lesser than that of 0.

To calculate right hand limit, we use a value slightly greater than that of 0.

Let h be a very small value.

Left hand limit will be calculate at 0-h

Right hand limit will be calculate at 0+h

First of all, let us have a look at the value of f(0-h) and f(0+h)

f(0-h)=f(-h) = \dfrac{-h}{|-h|}\\\Rightarrow \dfrac{-h}{h} = -1

f(0-h)=-1 ....... (1)

f(0+h)=f(h) = \dfrac{h}{|h|}\\\Rightarrow \dfrac{h}{h} = 1

f(0+h)=1 ....... (2)

Now, left hand limit:

$\lim_{x \to 0^{-} } f(x)$\\ = $\lim_{h \to 0} f(0-h)$

\Rightarrow $\lim_{h \to 0} f(-h)$

Using equation (1):

$\lim_{x \to 0^{-} } f(x)$\\ = -1

Now, Right hand limit:

$\lim_{x \to 0^{+} } f(x)$\\ = $\lim_{h \to 0} f(0+h)$

\Rightarrow $\lim_{h \to 0} f(h)$

Using equation (2):

$\lim_{x \to 0^{-} } f(x)$\\ = 1

Since Left Hand Limit \neq Right Hand Limit

So, the answer is:

Limit $\lim_{x \to 0} f(x)$ does not exist.

8 0
4 years ago
A compound event may consist of dependent or independent events
Korolek [52]
The answer to your question is true
6 0
4 years ago
If it takes 1,800 foot- pounds of work to push a rock fifteen feet, what amount of force was used?
ella [17]

Answer:

120 lbs

Step-by-step explanation:

Work = force * distance

1800 ft-lb = force * 15 ft

force = 1800 ft-lb / 15 ft

=1800/15 ft-lb/ft

=120lbs

6 0
4 years ago
What’s the difference in weight between the heaviest and lightest dog . Lassie 21 kg 249g Riley 23 kg 128g Fido 21,268g
Pie
Just Subtract Riley ( 23 kg 128g ) minus Lassie ( 21kg 249g ) and then you get your difference
4 0
3 years ago
Cat food comes in two different sized boxes: Box A has 12 Sachets and cost £3.80 Box B has 45 sachets and cost £14.00 which Is t
monitta
Box B because 45÷14.00 = 0.31 which is less than box A . to box's in June 3×30= 90÷45=(2) (B)=2
3 0
3 years ago
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