Aflat surface and some measurements of the water velocity, u, parallel to the surface, at different heights, y, above the surface are obtained. at the surface y = 0. after an analysis of the data, the lab technician reports that the velocity distribution in the range 0 < y < 0.1 ft is given by the equation u = 0.81 + 9.2y + 4.1 × 103y3 with u in ft/s when y is in ft. (a) do you think that this equation would be valid in any system of units? explain. (b) do you think this equation is correct? explain. you may want to look at video 1.4 to you arrive at your answer

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step-by-step explanation:

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.