After beginning antiseptic treatment, the number of bacteria in a population decreases at a rate of 25% per day, that is, dN/dt = -0.25N, where N is the number of bacteria and t is the time, in days.
(a) When t = 0 , there are 80,000 bacteria present. Find a function that satisfies this equation.
(b) How many bacteria will remain after 7 days?
(c) After how long do half of the original bacteria remain?
(a) 
(b) 13,902
(c) 2.77 day
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Find the volume by using polar coordinates.The region under the surface 
, and bounded by the planes 
and 
and the cylinder 
A. 
B. 
C. 
D. 
Solve.x1/2 - 10x1/4 = -25
A. 625
B. 20
C. 5
D. 
Solve the inequality.3x3 + 4x2 - 16x + 8 > 0
A. -1 - 
< x < 
, x > -1 +
B. x < -1 - 
, 
< x < -1 + 
C. x < -1 + 
D. -1 - 
Use the Rational Zero Theorem to list all possible rational zeros for the given function.f(x) = -2x3 + 4x2 - 2x + 8
A. ± 
, ± 
, ± 1, ± 2, ± 4, ± 8
B. ± 
, ± 
, ± 
, ± 1, ± 2, ± 4, ± 8
C. ± 
, ± 1, ± 2, ± 4, ± 8
D. ± 
, ± 1, ± 2, ± 4