An isosceles triangle lays with its base at the surface of the water and its vertex pointing downwards. If the width of the base is w and the altitude (i.e. distance from water's surface to the vertex) is h, find the formula for w(h) that we would need in finding the hydrostatic force on the triangle. Assume that y=0 is at the water's surface and that we measure distances as positive in the downwards direction. Enter only the formula for w(h), using h as the variable. Do not write "w(h)=". Just enter your answer; e.g. 5-2h.
Suppose that for a dye-dilution problem, we are using Simpson's Rule to do the approximation of concentration, ∫ c(t) dt, and
this works out to: 0.23 [0 + 4(1) + 2(2) + 4(2.1) + 2(3.3) + 4(4.1) + 2(3.3) + 4(1.4) - 0]. Based on the result above, which of the following are true? Select ALL that apply.
- At = 0.2 (i.e. the step size is 0.2)
- n = 8
- c(0) = 0
- None of these