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bogdanovich [222]
2 years ago
15

Help,please It’s calculus

Mathematics
1 answer:
NikAS [45]2 years ago
4 0

The function is a continuous function at 2 if the LHL and RHL will be the same as the limit of the function.

<h3>What is continuity of a function?</h3>

It is defined as the property of a function in which the function varies continuous, and we plot the graph of a function it doesn't break.

We have a function:

\rm f(x) = \left \{ {{x^2-x}, x\leq 2\atop {2x - 2 \ ,x > 2 \  } \right.

If f(x) is a continuous, then it will follow:

f(2) = 2² - 2 = 4 - 2 = 2

Left-hand limit at 2 = right-hand limit at 2 = 2

Limit at 2 of a function = 2

Using limit, we can check the whether the function is differentiable or not.

Thus, the function is a continuous function at 2 if the LHL and RHL will be the same as the limit of the function.

Learn more about the continuous function here:

brainly.com/question/21447009

#SPJ1

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20 gallons

Step-by-step explanation:

If 4 big water bottles can hold 8 gallons then just multiply 10x2 because that is double the amount.

6 0
3 years ago
Solucion de (2x)2-16x 32=98 con la formula general
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3 years ago
What is the nth term of quadratic sequence 4 7 12 19 28
Anni [7]
We find the first differences between terms:
7-4=3; 12-7=5; 19-12=7; 28-19=9.
Since these are different, this is not linear.
We now find the second differences:
5-3=2; 7-5=2; 9-7=2. Then:

Since these are the same, this sequence is quadratic.
We use (1/2a)n², where a is the second difference:
(1/2*2)n²=1n².

We now use the term number of each term for n:
4 is the 1st term; 1*1²=1.
7 is the 2nd term; 1*2²=4.
12 is the 3rd term; 1*3²=9.
19 is the 4th term; 1*4²=16.
28 is the 5th term: 1*5²=25.

Now we find the difference between the actual terms of the sequence and the numbers we just found:

4-1=3; 7-4=3; 12-9=3; 19-16=3; 28-25=3.

Since this is constant, the sequence is in the form (1/2a)n²+d;
in our case, 1n²+d, and since d=3, 1n²+3.
The correct answer is n²+3
7 0
3 years ago
A scale drawing of a park is 1 inch equal to 15 feet. What is the actual area of the park?
sesenic [268]

Answer:

Step-by-step explanation:

To get the current area of the park you must multiply by 15 the number of inches indicated on the map.

4 0
3 years ago
Which of these graphs represent a rate of change of 4 ?
sammy [17]

The last graph because the slope is 40.

Slope equals rise over run

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Slope (rate of change)=4

4 0
3 years ago
Read 2 more answers
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