It comes from integrating by parts twice. Let

Recall the IBP formula,

Let


Then

Apply IBP once more, with


Notice that the ∫ v du term contains the original integral, so that




Answer: YES
<u>Step-by-step explanation:</u>
8p - 2q = 14
8(1) - 2(-3) = 14
8 - -6 = 14
8 + 6 = 14
14 = 14
TRUE
Answer:
8 vans
7 buses
Step-by-step explanation:
Let there be "b" buses
and "v" vans
Since 7 people is the capacity of vans, the total capacity is
7v
Also, since 25 people is the capacity of 1 bus, the total capacity is
25b
In total 231 people, so we can write our first equation as:
7v + 25b = 231
Now, we know there are 15 vehicles (bus + vans) in total, so we can write our 2nd equation as:
v + b = 15
Now, we solve for v and b. Let's solve the 2nd equation for v and substitute that into 1st and solve for b first:
v + b = 15
v = 15 - b
Now,

Hence, there are 7 buses
Since 15 vehicles in total, the number of vans is:
15 - 7 = 8 vans
So,
8 vans
7 buses
Plug in -3 for x into the equation.
(1/4)^-3
And solve
(1/4)^-3 = 64
Answer:
i think 150
Step-by-step explanation:
sorry if its wrong im just trying to help