Sediment Bowl
1st year calculus, finding volume and length?
Suppose a lake has a depth of 40 meters and is bowl-shaped, with the surface of the bowl generated
by rotating the curve z = x2/10 around the z-axis. Here z is height in meters from the bottom of the
bowl. The distribution of sediment in the lake is stratified by height along the water column. In other
words, the density of sediment (in mass per unit volume) is a function of the form s(z) = C(40−z),
where z is again vertical height in meters from the point at the bottom of the lake. Find the total
mass of sediment in the lake. (Your answer will have the constant C in it.)
Set up the integral that represents the length of the following curves: Do not attempt to calculate
the integral in any of these cases
y = f(x) = sin(x) 0 < x < 2pi
hey, i can solve but cant type on computer… cozit’s a tricky question..
gud luck..!!
Dirty Money prod – Part 7 – Train ,tagging ,bombing (Ukraine Graffiti)
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