Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms.log16 

A. log16 (9) - log16 s
B. log16 9 ?  log16 r ÷ log16 s
C. log16 9 +  log16 r - log16 s
D. log16 s - log16 9 -  log16 r


Answer: C

Mathematics

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Find the volume of the described solid.The base of a solid is the region between the curve y = 3cos x and the x-axis from x = 0 to x = ?/2. The cross sections perpendicular to the x-axis are isosceles right triangles with one leg on the base of the solid.

A. ?
B. 2?
C. ?
D. ?

Mathematics

Provide an appropriate response.Which of the following statements defines f(x) = ??I. For every positive real number B there exists a corresponding positive real number N such that f(x) > B whenever x > N.II. For every positive real number B there exists a corresponding negative real number N such that f(x) > B whenever x < N.III. For every negative real number B there exists a corresponding negative real number N such that f(x) < B whenever x < N.IV. For every negative real number B there exists a corresponding positive real number N such that f(x) < B whenever x > N

A. I B. II C. IV D. III

Mathematics

Construct a truth table for the statement.~(p ? q) ? ~(p ? q)

A.

TTT
T F T
F T T
F F T
B.
TTF
T F T
F T T
F F T
C.
TTF
T F F
F T F
F F T
D.
TTT
T F F
F T F
F F T

Mathematics

Simplify the power of i.

A. -1 B. -i C. 1 D. i

Mathematics