Step-by-step explanation:
When x = 0,
sin3x / 6x = 0 / 0, which is an indeterminate form.
Hence we use L'Hospital's rule:
d/dx (sin3x) = 3cos3x
d/dx (6x) = 6
Now we have 3cos3x / 6 or 0.5cos3x.
When x = 0, 0.5cos3x = 0.5(1) = 0.5.
Hence the limit is 0.5.
G has 2 local minimums, you can tell because there are 2 dips in the line before it goes of to infinity.
Both questions have the same answer so the answer to both would be
Local Min: (-2,-3), (3,0)
Answer:
1/9 is probably most likely the correct answer
Use the formula of arc length that is
s = rθ
where s = arc length, r = radius, θ = angle (unit must be in radian)
Given r = 5 in and θ = 48°( π /180°) = (4/15)* π = 0.2667 π,
s = 5 in (0.2667π) = 1.333 π in
