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const2013 [10]
4 years ago
15

I really really need help with this question! PLEASE! Brainliest and 30pts

Mathematics
1 answer:
goblinko [34]4 years ago
6 0
Part a: f(0) = 0
There isn't much explanation for part a: just plug it in.
Part b: Look at the attached image.
I hope this helps.

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Solve in attachment....​
olga2289 [7]

Answer:

A)2

Step-by-step explanation:

we would like to integrate the following definite Integral:

\displaystyle  \int_{0} ^{1} 5x \sqrt{x} dx

use constant integration rule which yields:

\displaystyle  5\int_{0} ^{1} x \sqrt{x} dx

notice that we can rewrite √x using Law of exponent therefore we obtain:

\displaystyle  5\int_{0} ^{1} x \cdot  {x}^{1/2} dx

once again use law of exponent which yields:

\displaystyle  5\int_{0} ^{1}  {x}^{ \frac{3}{2} } dx

use exponent integration rule which yields;

\displaystyle  5 \left( \frac{{x}^{ \frac{3}{2}  + 1  } }{ \frac{3}{2}  + 1} \right)  \bigg|  _{0} ^{1}

simplify which yields:

\displaystyle  2 {x}^{2}  \sqrt{x}   \bigg|  _{0} ^{1}

recall fundamental theorem:

\displaystyle  2 (  {1}^{2}) (\sqrt{1}  ) - 2( {0}^{2} )( \sqrt{0)}

simplify:

\displaystyle  2

hence

our answer is A

8 0
3 years ago
Read 2 more answers
Select all the rates that are unit rates.
andreyandreev [35.5K]

Answer:

3/1

Step-by-step explanation:

All unit rates have a denominator of 1.

6 0
3 years ago
Show that in any group of 101 people there are at least two persons having the same number friends (It is assumed that if a pers
vladimir1956 [14]

Answer:

Step-by-step explanation:

Let us assume that if possible in the group of 101, each had a different number of friends.  Then the no of friends 101 persons have 0,1,2,....100 only since number of friends are integers and non negative.

Say P has 100 friends then P has all other persons as friends.  In this case, there cannot be any one who has 0 friend.  So a contradiction.  Hence proved

Part ii: EVen if instead of 101, say n people are there same proof follows as

if different number of friends then they would be 0,1,2...n-1

If one person has n-1 friends then there cannot be any one who does not have any friend.

Thus same proof follows.

7 0
4 years ago
Today Carly’s bank account contains $82 yesterday she made a withdrawal of $25 what was the bank account balance before Carly ma
grigory [225]
What was Carly bank account balance before was $107 and the reason for that is because the meaning of withdrawal is to take away so if she currently has $82 dollars and withdrawal $25 all you have to do is add $82 +25 which would make $107 which means she had $107 dollars yesterday.
3 0
4 years ago
2(x-8)+4x=20 who can I use this in a model or visual
CaHeK987 [17]

Answer:

both

Step-by-step explanation:

6 0
3 years ago
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