Lim[x.sin(4π/x)] when x →∞. To apply the Hospital rule we need a fraction:
lim[x.sin(4π/x)] could be written:
lim [sin(4π/x)] / (1/x) . Now let's find the derivative of the numerator and the denominator:
Numerator = sin(4π/x) → (Numerator)' = cos(4π/x).(-4π/x²) [Chaine rule
(sinu)' = cosu. u'] So derivative of Numerator = cos(4π/x).(-4π/x²)
Denominator = 1/x → Numerator derivative = -1/x²
Now : (numerator)'/(denominator)' = cos(4π/x).(-4π/x²) / -1/x²
Simplify by x² : → cos(4π/x).(-4π) / -1
OR cos(4π/x).(4π) . When x→∞ , 4π/x → 0 and cos(0) = 1, then:
lim[x.sin(4π/x)] when x →∞. is 4π
Answer:
2√5
cos x = -------------
5
Step-by-step explanation:
If tan x = 1/2 then what is cos x?
Recall that tan x is defined as the quotient sin x / cos x, so that in this case sin x / cos x = 1 / 2 = opp side / adjacent side. Also, recall that cos x = adj side / hypotenuse.
To determine cos x, we need to find the length of the hypotenuse. That, in turn, through use of the Pythagorean Theorem, is √(1^2+2^2), or √5.
Then cos x = adj side / hyp = 2/√5. Rationalizing the denominator, we get
2√5
cos x = -------------
5
Answer:
6p = 42
Step-by-step explanation:
If everybody scores 6 then the possible equation could be 6p = 42.
p represents the people on the team.
Solve for the variable p:
6p = 42
6p/6 = 42/6
p = 7
There are 7 people on the team.
hope this helps and is right!! p.s. i really need brainliest :)
Since 60 is 60 units away from 0, it is 60.
Answer:
the correct answer is 24.9
Step-by-step explanation:
