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Mass and Density in One Dimension
Grade Level
Calculus I
CAL1.133 Mass and Density in One Dimension
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A rod lies from x=0 m to x=1 m. Its density is given in g/cm by ρ(x)=3+2x (with x in meters). Which option shows the correct setup (unit conversion included) and mass?
A
m = ∫₀¹ (3+2x) dx = 5 g
B
m = ∫₀¹ 100(3+2x) dx = 300 g
C
m = ∫₀¹ (3+2x)·100 dx = 200 g
D
m = ∫₀¹ 100(3+2x) dx = 400 g
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