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ipn [44]
1 year ago
10

The sum ∫2−2() ∫52()−∫−1−2() can be written as a single integral in the form ∫() determine and

Mathematics
1 answer:
kow [346]1 year ago
6 0

We have

\displaystyle \int_{-2}^2 f(x) \, dx - \int_{-2}^{-1} f(x) \, dx = \int_{-1}^2 f(x) \, dx

so that

\displaystyle \int_{-2}^2 f(x) \, dx + \int_2^5 f(x) \, dx - \int_{-2}^{-1} f(x) \, dx \\\\ ~~~~~~~~~~~~ =  \int_{-1}^2 f(x) \, dx + \int_2^5 f(x) \, dx \\\\ ~~~~~~~~~~~~ = \boxed{\int_{-1}^5 f(x) \, dx}

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How to do a exponent with the negative base?
tatiyna
Examples :
(-2)^3 = (-2)(-2)(-2) = - 8

(-3)^4 = (-3)(-3)(-3)(-3) = 81

(-1)^5 = (-1)(-1)(-1)(-1)(-1) = -1

** if the exponent is an even number, the answer will be positive. if the exponent is an odd number, then the answer will be negative

** but keep in mind....if the negative is not included with the base..
-(5^2) = - 25....but (-5^2) = 25
3 0
4 years ago
Read 2 more answers
The number line shows four points. Which point represents the approximate location of <br> 17
den301095 [7]

Answer:

The one closest to the 20 or the one below the 16 or above the 18

Step-by-step explanation:

THERE WAS NO NUMBER LINE FOR ME TO HELP YOU!!!!!!

8 0
3 years ago
If a represent the number of apples purchase at 15 centa each and B represents the number of banana purchase at 10 cents each, w
Vikki [24]
Number of apples purchased = A
Cost of each apple = 15 cents
Then
The total cost of 15 apples = 15A
Number of bananas purchased = B
Cost of each banana = 10 cents
Then
Cost of 10 bananas = 10B
So
The total value of purchase = 15A + 10B
So the correct option among all the options given in the question is option "D",. I hope the procedure is clear enough for you to understand. Using this procedure it will be possible for you to answer similar questions with ease and without requiring any help from outside.
6 0
4 years ago
1^2 + 4^2 + 7^2 + ... + (3n - 2)^2 = n(6n^2-3n-1)/2
vlabodo [156]
Use math induction proof method will be usefully 

for n=1 will get 

1^2 = 1(6*1^2 -3*1 -1)/2
1 = 1(6-4)/2
1 = 1(2)/2
1 = 1

suppose true for n=k and prove for k = k+1 

hope this will help you 
7 0
3 years ago
A credit card company uses these rules to calculate the minimum amount owed: • For a bill of less than $100, the entire amount i
Ksivusya [100]

The graph that shows the minimum amount due for a credit amount of x given that the credit limit is $2,000 is graph B.

<h3>How to illustrate the information?</h3>

Let x represent the credit amount  and y represent the minimum amount due.

For a bill of less than $100, the entire amount is due. That is for 0 ≤ x < $100, y = x

For a bill of at least $100 but less than $500, the minimum due is $100. That is for $100 ≤ x < $500, y = 100

For a bill of at least $500 but less than $1,000, the minimum due is $300. That is for $500 ≤ x < $1000, y = $300

For a bill of $1,000 or more, the minimum due is $500. But the credit limit is $2000. That is For $1000 ≤ x < $2000, y = $500

The graph that shows the minimum amount due for a credit amount of x  is graph B.

Learn more about graph on:

brainly.com/question/19040584

#SPJ1

3 0
2 years ago
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