Solve the problem.The concentration of a certain drug in the bloodstream t minutes after swallowing a pill containing the drug can be approximated using the equation  where C(t) is the concentration in arbitrary units and t is in minutes. Find the rate of change of concentration with respect to time at t = 5 minutes.

A. -  units/min
B. -  units/min
C. -  units/min
D. -  units/min


Answer: A

Mathematics

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Find the flux of the curl of field F through the shell S.F = (6 - y)i + (5 + x)j + z2k; S is the upper hemisphere of x2 + y2 + z2 = 81

A. 2? B. 324? C. 162? D. -4?

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Calculate the flux of the field F across the closed plane curve C.F = y3i + x3j; the curve C is the closed counterclockwise path formed from the semicircle  0 ? t ? ?, and the straight line segment from (-2, 0) to (2, 0)

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Use the change of base formula and the properties of logarithms to rewrite the expression as a single logarithm in the indicated base.log81 x12 + log27 y9 - log9 w6, base 3

A. log3(x3 + y3 - z3)
B. log3 x3y3z3
C. log3 
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Mathematics