3 years ago

What is the least common multiple of 6/30

Mathematics

1 answer:

Elan Coil [88]3 years ago

4 0

Answer:

LCM of 6 and 30 is 30

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14 gallons I believe
Let me know if this helped!

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3 years ago

Resuelve estas ecuaciones

Natali [406]

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3 years ago

Evaluate g(3) if g(x) = 2x + 1. 1 7 24

Rasek [7]

G(x)=2x+1
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3 years ago

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Sin 0 < 0, tan 0 < 0 The angle 0 lies in which quadrant?

gogolik [260]

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3 years ago

Find the work done by the force field F(x,y,z)=6xi+6yj+6k on a particle that moves along the helix r(t)=3 cos(t)i+3sin(t)j+2 tk,

kramer

Answer:

the work done by the force field = 24 π

Step-by-step explanation:

From the information given:

r(t) = 3 cos (t)i + 3 sin (t) j + 2 tk

= xi + yj + zk

∴

x = 3 cos (t)

y = 3 sin (t)

z = 2t

dr = (-3 sin (t)i + 3 cos (t) j + 2 k ) dt

Also F(x,y,z) = 6xi + 6yj + 6k

∴ F(t) = 18 cos (t) i + 18 sin (t) j +6 k

Workdone = 0 to 2π ∫ F(t) dr

$\mathbf{= \int \limits ^{2 \pi} _{0} (18 cos (t) i + 18 sin (t) j +6k)(-3 sin (t)i+3cos (t) j +2k)\ dt}$

$\mathbf{= \int \limits ^{2 \pi} _{0} (-54 \ cos (t).sin(t) + 54 \ sin (t).cos (t) + 12 ) \ dt}$

$\mathbf{= \int \limits ^{2 \pi} _{0} 12 \ dt}$

$\mathbf{= 12 \times 2 \pi}$

= 24 π

3 0

4 years ago