Rather than carrying out IBP several times, let's establish a more general result. Let
One round of IBP, setting
gives
This is called a power-reduction formula. We could try solving for explicitly, but no need. is small enough to just expand as much as we need to.
Finally,
so we end up with
and the antiderivative is
0.88......ones (decimal), tenths, hundredths
so 8 is in the tenths place....8/10
If x is the amount that Tanya paid for each item, then Tony's items would be x-2.25. So:
3x=4(x-2.25)
3x=4x-9
x=9
x-2.25=6.75
Tanya spent $9 on each item; Tony spent $6.75 on each of his items
Answer:
7 feet is the length of the blade of the windmill.
Step-by-step explanation:
We have the equation
h = 7 sin(pi/21t) + 28 ------ eq1
At time 't' = 0, the end of the blade is pointing to the right parallel to the ground meaning it is at the same height as the other end. (Ф = 0°)
So, by calculating the maximum height of this end at Ф = 90°. we can calculate the length of the blade.
Now, we know that a general model equation of a circular simple harmonic motion is represented as : y = A sinωt + k ----- eq2
Where A is the amplitude that is, maximum displacement from mean to maximum position.
ω is the angular frequency.
Comparing eq1 and eq2:
A = 7
so the difference in blades end height at Ф = 0° and Ф = 90° is 7 feet.
Hence, the length of the blade is 7 feet.
Answer:
Analyze then add
Step-by-step explanation:
Basically, just analyze the lengths of the sides, and then add them together for the perimeter
Thank me later :)