Answer:
3 because when x=2 the lines are at y 1 and 3, but the y 1 isn't shaded, so the answer is 3
The equation of the tangent line of f(x) is given by y = f'(x)x + c
f(x) = 2sin x
f'(x) = 2cos x
At x = pi/3
f'(pi/3) = 2 cos(pi/3) = 1
f(pi/3) = 2 sin(pi/3) = √3
√3 = 1(π/3) + c
c = √3 - π/3
Therefore, required equation is
y = x + √3 - π/3
Find the lcd:
3*7*8*5*3=2520
