<h2>
Hello!</h2>
The answer is:
<h2>
Why?</h2>
To solve this problem, first we need to derivate the given function, and then, evaluate the derivated function with x equal to 2.
The given function is:
It's a quotient, so, we need to use the following formula to derivate it:
Then, of the given function we have that:
So, derivating we have:
Hence,
Now, evaluating with x equal to 2, we have:
Therefore, the answer is:
Have a nice day!
Answer:
2540.22
Step-by-step explanation:
amount = principal amount * (1+ r/n) ^ nt
r= interest rate as decimal
n=number of times interest is compounded
nt=time
The first and third question are both the second choice, what would be b. The second question seems impossible...
Answer:
Step-by-step explanation:
22) J(2,-1); K(2,5)
Distance = √(x₂-x₁)² + (y₂-y₁)²
= √( 2- 2)² + (5 - [-1] )²
= √0 + (5 + 1 )²
=√ ( 6 )² = 6
25) A(0,3) ; B (0,12)
distance =√(0-0)² + (12 - 3 )²
=√( 9)² = 9
28) Q(12,-12) ; T(5,12)
distance = √(5 - 12)² + (12 - [-12] )²
= √( -7)² + (12 + 12] )²
= √ 49 + (24)²
= √ 49 + 576
= √625
=25
Answer:
22.5
Step-by-step explanation:
If you expand the series, you can see the first few terms of the series:
- Putting 1 in
, 
- Putting 2 in ,
- Putting 3 in ,
- Putting 4 in ,
We can see the series is 0, 0.5, 1, 1.5, ....
This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.
We know formula for sum of arithmetic series:
Where,
denotes the nth partial sum
is the first term (in our case it is 0)- is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
is the common difference (difference in term and the previous term) (in our case it is 0.5)
Substituting these into the formula, we get the 10th partial sum to be:
So the sum of the first 10 terms is 22.5. Third answer choice is right.
