Use integration by parts to establish a reduction formula for the integral.
, n ? 1
A. = - cotn-1 x +
B. =
cotn-1 x -
C. =
cotn-2 x -
D. =
cotn-1 x +
Answer: B
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Write the improper fraction as a mixed or whole number.
A. 6
B. 5
C. 4
D. 5
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 6 months after the species is introduced.
A. 74 B. 240 C. 470 D. 704
Let u represent , v represent
, and w represent
. Solve first for u, v, and w. Then solve the system of equations.
+
+
=
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+
=
+
+
=
A.
B. (-1, -3, 1)
C. (1, 3, 1)
D. (1, 3, -1)
Solve the nonlinear system of equations for real solutions.
A. (-3, -8), (-8, -3) B. (3, -8), (3, 8) C. (3, 8), (-3, 8), (3, -8), (-3, -8) D. (3, 8), (8, 3), (-3, -8), (-8, -3)