Taking
gives
, so that the integral becomes
When
, we have
and from here we can substitute
to proceed from here.
Quick note: When we set
, we are implicitly enforcing
just so that the substitution can be undone later via
. But note that over this domain, we automatically guarantee that
, so the absolute value bars can be dropped immediately.
Answer:
Mixed number: 8 and 4/100
Improper fraction: 804/100
Since it says to not simplify, those are the answers.
-10v^9+8v^6+2v^5
10=5*2
8=2^3
2=2
The common factor is 2 and its least exponent is 1
The least exponent for the variable v is 5
Then, the GFC of the polynomial is 2v^5
Factoring:
2v^5 [ -(10v^9)/(2v^5)+(8v^6)/(2v^5)+(2v^5)/(2v^5) ] =
2v^5 (-5v^(9-5)+4v^(6-5)+1) =
2v^5 (-5v^4+4v+1)
Answer:
14.60
Step-by-step explanation:
Note that there are 100 centimeters in 1 meter. The plant is 13 meters tall, and grows 8 centimeter every month. It is asking you for 20 months worth (x = 20) of growth.
First, solve for the amount of centimeters total in 20 months:
8 centimeter per month x 20 months = 160 centimeters per 20 months.
Remember, there are 100 centimeters in every meter. Therefore:
160 centimeter/ 100 centimeters per meter = 1.60 meters.
Add the growth to the original height:
13.00 + 1.60 = 14.60
14.60 meters is your answer.
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Answer:
Step-by-step explanation:
