So the math here is 1+1 = 2
Answer:
1
Step-by-step explanation:
Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.
The average value of a function f(x) over an interval [a, b] is
f(b) - f(a)
ave. val. = ---------------
b - a
which in this particular case is
19 - 30
ave. val. = ----------------- = -11/11 = 1
6 - (-5)
The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.
Sin 2x - sin 4x = 0
sin 2x - 2sin 2x cos 2x = 0
sin x(1 - 2cos 2x) = 0
sin x = 0 or 1 - 2cos 2x = 0
sin x = 0 or 2cos 2x = 1
sin x = 0 or cos 2x = 1/2
x = arc sin 0 or 2x = arc cos (1/2)
x = arc sin 0 or x = 1/2 arc cos (1/2)
x = 0, π, 2π or x = π/6, 7π/6
