Solve the problem. Round your answer to the nearest whole number.In an epidemiological model used to study the spread of drug use, a single drug user is introduced into a population of N non-users. Under certain assumptions, the number of people expected to use drugs as a result of direct influence from each drug user is given by 
, where b and k are constants. Find the value of S.
A. 8Ne-bkt
B. N(1 - e-kt)e-bt
C. 8N/(b + k)
D. 8N/[b(b + k)]
Answer: D
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Write the Hindu-Arabic numeral in expanded form.5000
A. (5 × 104) + (0 × 103) + (0 × 102) + (0 × 101) B. (5 × 100) + (0 × 101) + (0 × 102) + (0 × 103) C. (5 × 103) + (0 × 102) + (0 × 101) + (0 × 100) D. (5 × 101) + (0 × 102) + (0 × 103) + (0 × 104)
Express the integrand as a sum of partial fractions and evaluate the integral.
dx
A. ln 
- 
+ C
B. ln 
+ 
+ C
C. ln 
- 
+ 
+ C
D. ln 
- 
+ 
+ C
The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.{3n2 - 4}
A. Geometric, r = 3 B. Arithmetic, d = -4 C. Arithmetic, d = 3 D. Neither
Solve the problem.If cot ? = -7.1, find the value of cot ? + cot (? + ?) + cot (? + 2?).
A. -21.3 + 3? B. -19.3 C. -21.3 D. undefined