A bacteria culture is experiencing a growth pattern of 12% per hour in its population P; that is
where P is the population of the culture and t is the time, in hours, from noon.
(a) Given that the town’s population at noon was 40000, find the solution of the equation assuming P0 = 40000 and k = 0.12.
(b) What will the population be at 6 pm?
(c) What is the doubling time of the population?
(a)
(b) 82,177
(c) 5.8 hr
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Evaluate the integral.
A. (e2 - e)2
B. (e - 1)2
C. (e - 1)2
D. (e2 - e)2
Multiply by moving the decimal point the appropriate number of places to the right.3.705 × 10
A. 37.05 B. 0.3705 C. 3.7050 D. 370.5
For the pair of functions, find the indicated domain.f(x) = 4x + 28, g(x) = x + 2Find the domain of f ? g.
A. (-?, ?) B. (-?, -9) ? (-9, ?) C. (-?, -9] ? [-9, ?) D. (-?, 9) ? (9, ?)
Use mathematical induction to prove that the statement is true for every positive integer n.1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + n(n + 1) =
What will be an ideal response?