Find the requested partial derivative.f(x, y) =
; fy(2, -3)
A.
B. -
C. -
D. -
Answer: C
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Tank A contains 250 lbs of salt dissolved in 1000 gal of water. Tank B contains 300 lbs of salt dissolved in 1000 gal of water. The mixture from tank A is pumped to tank B at the rate of 400 gal per hr, while the mixture from tank B is pumped to tank A at the same rate. Assume that the mixture in each tank is uniform by stirring. Let A(t ) and B(t ) be the amount of salt in tanks A and B after t hours, respectively.
(a) Draw a two-compartment model for A(t ) and B(t ) . (b) Use the initial conditions A(0) = 250 and B(0) = 300 to solve for A and B. (c) What are the equilibrium values of A and B?
By observing the vertical and horizontal change of the line between the two points indicated, determine the slope of the line.
A. m = 7 B. m = -7 C. m = -1 D. m = 1
Solve.The rectangle has width 5x2 feet and length 8x4 feet. Find its area as an expression in x.
8x4 feet
A. 40x6 sq ft B. 13x6 sq ft C. 13x8 sq ft D. 40x8 sq ft
Find an expression for the area under the graph of f as a limit. Do not evaluate the limit.