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Using a graphing tool, we can see that the whole range of the function
is <span>y</span><span> ∈ [0,∞)
Now, in the interval
</span>
{x | –8 < x < 8}.
The range is y<span> ∈ [0 ; 6.708) </span>
is <span>y</span><span> ∈ [0,∞)
Now, in the interval
</span>
{x | –8 < x < 8}.
The range is y<span> ∈ [0 ; 6.708) </span>
Answer:
- Given: Angle of elevation 15°
- AB (height of tower)=100
- AE=?
- CE = 5100 (5000 feet heigher than the tower)
Now,
tan15°=
ae=
.: ae = 19033.45
.: the aeroplane is 19033.45 m away from the control tower.
The smallest positive integer n for which n^2 is divisible by 18 and n^3 is divisible by 640 is 120
The modulo (or "modulus" or "mod") is the remainder after dividing one number by another.
The smallest integer is 120, since:
mod 18 = 0, (reminder after dividing
by 18 is 0) and
mod 640 = 0 (reminder after dividing
by 18 is 0)
Hence, The smallest positive integer n for which n^2 is divisible by 18 and n^3 is divisible by 640 is 120.
Learn more about Divisibility here
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