Given the function f(x) = , identify any intervals on which f(x) is increasing, decreasing, or constant.
a. The function is decreasing over the interval ().
b. The function is constant over the interval ().
c. The function is increasing over the interval ().
d. The function is constant over the interval () and (-4,
d. The function is constant over the interval () and (-4,
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Find the distance between points P1 and P2. P1(6, 3, -7) and P2(11, 7, -4)
A. 50
B. 5
;
C. 10
D. 25
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the 
. y = x2, y = 0, x = 0, x = 5
A. 
?
B. 625?
C. 
?
D. 
?
Find the particular solution to the given differential equation that satisfies the given conditions.D2y - 4 Dy + 13y = 0; y = 0 when x = 0 and y = e?/3 when x = ?/6
A. y = e2x cos 3x B. y = e2x(C1 sin 3x + C2 cos 3x) C. y = e2x sin 3x D. y = ex sin 3x
Evaluate the integral by using multiple substitutions.
dx
A. 
+ C
B. 
+ C
C. 
+ C
D. 
+ C