Evaluate the integral.
A. 
B. 
C. 
D. 
Answer: B
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Differentiate the Taylor series about 0 for the given function. Then identify the function represented by the differentiated series. f(x) = e5x
A. 5 + 25x2 + 
+ ...= 5e5x
B. 1 + 5x + 
+ 
...= 5e5x
C. 1 + 5 + 
+ 
... = e5x
D. 5 + 25x + 
+ ...= 5e5x
Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.
A. 
saddle point; 
saddle point
B. 
local maximum
C. 
local minimum; 
saddle point; 
saddle point; 
local maximum
D. 
local maximum; 
local minimum
Decide whether or not the set of ordered pairs defines a function.{(-3, -6), (2, -8), (6, 6), (8, -4), (12, -1)}
A. Yes B. No
Solve the system by the substitution method.x + y = -1x2 + y2 = -4y - 3
A. {(1, -2), (2, -3)} B. {(-2, 1, (-3, 2)} C. {(-1, 0), (-2, 1)} D. {(0, -1), (1, -2)}