Find the domain of the rational function.g(x) = 
A. 
B. 
C. 
D. 
Answer: A
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Find the mass of the wire that lies along the curve r and has density ?.r(t) = 
i + 3tj, 0 ? t ? 1; ? = 4t
A. 
units
B. 
units
C. 2 units
D. 
units
Give the percent strength of a solution that contains 1 mL of pure drug in 25 mL of solution.
A. 25% B. 4% C. 40% D. 2.5%
Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the sets.{3, 7, 11, 15, ...}
A.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 3, | 7, | 11, | 15, | ..., | 4n + 1, | ...} |
B.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 3, | 7, | 11, | 15, | ..., | 3n + 2, | ...} |
C.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 3, | 7, | 11, | 15, | ..., | 3n - 2, | ...} |
D.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 3, | 7, | 11, | 15, | ..., | 4n - 1, | ...} |
Compute the average rate of change of f from x1 to x2. Round your answer to two decimal places whenappropriate. Interpret your result graphically.f(x) = x3 - 4x, x1= 2 and x2= 4
A. -24; the slope of the line passing through (2, f(2)) and (4, f(4)) is -24. B. -8; the slope of the line passing through (2, f(2)) and (4, f(4)) is -8. C. 24; the slope of the line passing through (2, f(2)) and (4, f(4)) is 24. D. 8; the slope of the line passing through (2, f(2)) and (4, f(4)) is 8.