Simple just decide pie by the universe multiplied bye the square rout of a f1 race car most likely leading too yes
Answer:
Diverges
Step-by-step explanation:
We can solve this by using integral by parts:
Let
We can add
to both sides
We can evaluate the limit between 2 and infinity.
If x tends to infinity the limit will be infinity and therefore the integral diverges to ∞
Answer:
1, 2, 3, 4, 6, 9, 12, 18, 36
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
So lets take our 50 dollars.
Next, take your increase of 5%. Remember, 5% is 0.05, and it is a increase of 5%, so we are multipling 50 by 1.05.
Before we start multiplying, lets recall that this occurs twice(2 years), but this doesnt mean we multiply 50 by 1.10. No, we just mutiply 50 by 1.05 2 times:
50*1.05
=
52.5
52.5*1.05
=
55.25
So your answer is 55 dollars(rounding down).
Hope this helps!
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
