Answer:
wrong it is 667.95
Step-by-step explanation:
Answer:
X from 0 to 21
Y from 0 to 7
Z from 0 to 3
Step-by-step explanation:
Since we are being asked by the integration limits in first octant (positive x, positive y and positive z) we need to know where does the plane intersect this axes. For this we have:
for x=0 and y=0
7z=21
z=3
for x=0 and z=0
3y=21
y=7
for z=0 and y=0
x=21
This means that the integration limits are:
X from 0 to 21
Y from 0 to 7
Z from 0 to 3
<span>First find the central angle A in degree.
Perimeter circle 2Pi*R --> 360 deg
Arc A = 14.13 --> x deg
(360*14.13)/2Pi*R = 5086.8/37.68 = 135 deg
The pendulum rotates 135 deg in 3 sec. Then, the angular velocity is : 135/3 = 45 deg/sec.
Hope this helps!
</span>
The length of the side = <span>The length of the arc intercepted by the central
<span>angle
</span></span>∴ length = Θ r
where Θ = <span>central<span> angle in radians
and r = radius
∴ </span></span><span>Θ = 70° = 70 * π /180
</span><span>r = 13 in.
∴ </span>length = <span>(70 * π /180) * 13 ≈ 15.88 in.
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