Decide whether the relation is a function, and give the domain and range.
A. Not a function; domain: (-?, 0) ? (0, ?); range: (-?, ?)
B. Not a function; domain: (-?, ?); range: (-?, ?)
C. Function; domain: (-?, 0) ? (0, ?); range: (-?, ?)
D. Function; domain: (-?, ?); range: (-?, ?)
Answer: D
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Evaluate the integral by making a substitution (possibly trigonometric) and then applying a reduction formula.
A. - 
[sec(et - 2) tan(et - 2) - ln
] + C
B. 
[sec(et - 2) tan(et - 2) + ln
] + C
C. - 
[sec(et - 2) tan(et - 2) + ln
] + C
D. 
[sec(et - 2) tan(et - 2) - ln
] + C
Find all the first order partial derivatives for the following function.f(x, y, z) = 
A. 
= 
; 
= 
; 
= 
B. 
= - 
; 
= 
; 
= - 
C. 
= 
; 
= - 
; 
= 
D. 
= - 
; 
= - 
; 
= 
Simplify the fraction, if possible.
A. 1 B. 24 C. 0 D. undefined
Solve.The population growth of an animal species is described by 
where t is the number of months since the species was introduced. Find the population of this species in an area 1 month(s) after the species is introduced.
A. 360 B. 170 C. 320 D. 200