Use integration by parts to establish a reduction formula for the integral.
A. =
-
B. = x(ln ax) n - n
C. = ax(ln ax) n - an
D. =
+
Answer: B
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Simplify. Be sure to rationalize the denominator. Assume that all variables represent positive real numbers.
A.
B. 9
C. 58x
D.
Find the first 4 terms of the recursively defined sequence.a1 = 3, an+1 =
A. 3, ,
,
,
B. 3, ,
,
C. 3, , 3,
D. , 9,
, 27
Find the length of the arc on the circle of radius r meters intercepted by a central angle ?. Round your answer to three decimal places.r = 10, ? = 75°
A. 11.781 m B. 13.09 m C. 10.472 m D. 14.399 m
Determine whether the following is an expression or an equation. If it is an expression, simplify if possible and evaluate it for x = 2. If it is an equation, solve it. +
A. Expression; x + 6; undefined B. Expression; x - 6; undefined C. Equation; 3 D. Equation; 12