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2 years ago

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]2 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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A video game developer

vitfil [10]

Answer:

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Step-by-step explanation:

If "y" represents how much he earns total

and "x" represents the number of games sold

then the equation is $y=65\frac{x}{5}$

which can be simplified to $y = 13x$

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3 years ago

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lakkis [162]

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3 years ago

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Is it A) , B) , C), D) , E)

Mrac [35]

Answer:

Part A) The statement is True

Part B) The statement is False

Part C) The statement is True

Part D) The statement is True

part E) The statement is False

Step-by-step explanation:

Part A) we have

$1.66..=1 \frac{6}{9}$

The statement Is True

Convert the repeating decimal 1.66.. to an equivalent fraction

Let

$x=1.66..\\ 10x=16.66..\\ 10x-x=16.66..-1.66..\\ 9x=15\\ x=15/9$

Convert to mixed number

$15/9=9/9+6/9=1 \frac{6}{9}$

therefore

$1.66..=1 \frac{6}{9}$

Part B) we have

$0.6 < 6\%$

The statement is false

Because

$6\%=6/100=0.06$

substitute

$0.6 < 0.06$ -----> is not true

Part C) we have

$45\% \leq4.5$

The statement is True

Because

$45\%=45/100=0.45$

substitute

$0.45 \leq4.5$ ----> is true

Part D) we have

$5^{2} \geq 16$

The statement is True

Because

$5^{2}=25$

substitute

$25 \geq 16$ ----> is true

Part E) we have

$9.25 > 9\frac{3}{4}$

The statement is false

Because

Convert mixed number to an improper fraction

$9\frac{3}{4}=\frac{9*4+3}{4}=\frac{39}{4}$

Convert decimal number to an improper fraction

$9.25=9\frac{1}{4}=\frac{9*4+1}{4}=\frac{37}{4}$

substitute

$\frac{37}{4} > \frac{39}{4}$ -----> is not true

8 0

2 years ago

JUST READ THE ATTACHMENT

astra-53 [7]

Your answer would be 3,4,5

7 0

2 years ago

Read 2 more answers

* Question Completion Status:

tensa zangetsu [6.8K]

I’m going to assume the numbers are the other angles so..
Answer: 40 degrees

Why? Every triangles interior angles add up to be 180 so
180-122-18= 40

8 0

3 years ago