Integrate the function.

A.  + C
B.  +  + C
C.  + C
D.  + C


Answer: C

Mathematics

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Solve the problem.A tank initially contains 140 gal of brine in which 60 lb of salt are dissolved. A brine containing 5 lb/gal of salt runs into the tank at the rate of 7 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 5 gal/min. Write, in standard form, the differential equation that models the mixing process.

A.  + y = 35
B.  + y = 25
C.  + y = 35
D.  = 35 - y

Mathematics

List all of the Hamilton circuits for the graph that start with the indicated vertices.Starting B ? C

A. B ? C ? A ? E ? D ? B B ? C ? A ? D ? E ? B B ? C ? D ? A ? E ? B B. B ? C ? A ? E ? D B ? C ? A ? D ? E B ? C ? D ? A ? E B ? C ? D ? E ? A B ? C ? E ? D ? A B ? C ? E ? A ? D C. B ? C ? A ? E ? D ? B B ? C ? A ? D ? E ? B B ? C ? D ? A ? E ? B B ? C ? D ? E ? A ? B B ? C ? E ? D ? A ? B B ? C ? E ? A ? D ? B D. B ? C ? A ? E ? D B ? C ? A ? D ? E B ? C ? D ? A ? E

Mathematics

Find the absolute extreme values of each function on the interval.f(x) = - 6 e-x2, -? < x < ?

A. Minimum value is - 6 at x = 0; maximum value is -  at x = 1
B. Maximum value is - 6 at x = 0; minimum value
C. Minimum value is - 6 at x = 0; no maximum value
D. No minimum value and no maximum value

Mathematics

Write an algebraic equation and use it to solve the problem.Sergio's internet provider charges its customers $8 per month plus 5¢ per minute of on-line usage. Sergio received a bill from the provider covering a  period and was charged a total of $59.50. How many minutes did he spend on-line during that period? (Round to the nearest whole minute, if necessary.)

A. 367 minutes B. 247 minutes C. 870 minutes D. 87 minutes

Mathematics