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Umnica [9.8K]
3 years ago
8

Give an example of a function that is integrable on the interval [-1,1], but not continuous on [-1,1]. explain.

Mathematics
1 answer:
Furkat [3]3 years ago
4 0
With an absolute value somewhere in the formula, you can create a discontinuous function.

how about f(x) = |x|/x

It jumps from -1 to +1 at x=0, yet it can be integrated on [-1,1]. The surface is 2.

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If Hillary can read 560 words in 7 minutes how many words can Hilary read in 1 minute
Elza [17]
To find the number of words she can read per minute, we would do 560 divide by 7 minutes

560/7 = 80 words per minute

Hope this helps
3 0
3 years ago
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A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1,496 square inches. the cheerl
STatiana [176]

A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1,496 square inches. the cheerleaders make signs similar to the banner. the length of a sign is 11 inches. First solve the width of the rectangle:

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So the sign has also a width of 34 in and a length of 11 so the area is 34*11 =374 sq in

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3 0
3 years ago
The grade you make on your exam varies directly with the number of correct answers you get on the exam.Answering 15 questions co
yuradex [85]

<u>Answer:</u>

The grade you make on your exam varies directly with the number of correct answers. The constant of variation is 5

<u>Solution:</u>

Given, The grade you make on your exam varies directly with the number of correct answers you get on the exam.  

Answering 15 questions correctly will give you a grade of 75 what is the.  

We have to find what is the Constant of variation.

Now, according to the given information, grade  number of correct answer  

Then, grade = c x number of correct answers, where c is constant of variation.

Now, substitute grade = 75 and number of correct answers = 15

\text { Then, } 75=c \times 15 \rightarrow c=\frac{75}{15}=5

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5 0
3 years ago
I'LL GIVE BRAINLIEST HELP
sesenic [268]

Answer:

a. O = h - 40

b. 0, 4, 8, 12

Step-by-step explanation:

Let numver of overtime hours Jim workes for defined by O.

Standard working hours in a week for Jim = 40 Hours

If Jim is working for h hours then number of overtime hours will be given as difference between total hours he worked and standard working hours in a week.

⇒ O = h - 40

now, if jim has worked for 40, 44, 48 and 52 hours then his over time for all these cases will be

O = 40 - 40 = 0 Hours

O = 44 - 40 = 4 Hours

O = 48 - 40 = 8 Hours

O = 52 - 40 = 12 Hours respectively.

8 0
3 years ago
Please solve and please make sure your correct
Mazyrski [523]

Answer:

(a) The ones that are equivalent to the given fraction are: \frac{2}{-9} and -\frac{2}{9}

(b) The one that is equivalent to the given fraction is: \frac{-8}{-5}

3 0
2 years ago
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