The graph shows the depth of water W in a reservoir over a one-year period as a function of the number of days x since the beginning of the year. Estimate the average rate of change of W between x = 0 and x = 100?
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(a) -2ft/day
(b) -4ft/day
(c) 4ft/day
(d) 1/ 4 ft/day
(e) none of these
(d) 1/ 4 ft/day
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Find all the second order partial derivatives of the given function.f(x, y) = cos xy2
A. fxx(x, y) = y2 sin xy2; fyy(x, y) = 2[2y2 cos (xy2) - sin (xy2)] ; fyx(x, y) = fxy(x, y) = 2y[y2 cos (xy2) - sin (xy2)]
B. fxx(x, y) = -y4 cos xy2; fyy(x, y) = - 2x[2xy2 cos (xy2) + sin (xy2)]; fyx(x, y) = fxy(x, y) = - 2y[xy2 cos (xy2) + sin (xy2)];
C. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2[ sin (xy2)- 2y2 cos (xy2)] ; fyx(x, y) = fxy(x, y) = 2y [sin (xy2)-y2 cos (xy2)]
D. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2y
; fyx(x, y) = fxy(x, y) = 2
Solve the problem. Round to the nearest cent.Central Airlines offers a trade discount series of 30/25/5 for frequent flyers. If a round-trip airline ticket is $697, use the single discount equivalent to calculate the trade discount of a round-trip ticket.
A. $349.37 B. $278.80 C. $347.63 D. $418.20
Classify the equation as a contradiction, an identity, or a conditional equation.12k + 78 = 3(4k + 23)
A. Conditional B. Identity C. Contradiction
Find the area of the figure using determinants.
A. 33.5 B. 35.0 C. 30.5 D. 34.5