Identify the property illustrated by the statement.1 + 5 = 5 + 1

A. Associative
B. Commutative
C. Distributive
D. Identity
E. Inverse


Answer: B

Mathematics

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Find the area of the specified region.Inside the cardioid r = ?(1 + sin ?), ? > 0

A.  + 2?2
B.
C.  - 2?2
D. 2??

Mathematics

Use Newton's method to approximate all the intersection points of the pair of curves. Some preliminary graphing or analysis may help in choosing good initial approximations. Round to six decimal places.y = cos x and y = 5x

A. x ? 0.085064 B. x ? 0.197264 C. x ? 0.196164 D. x ? 0.696164

Mathematics

The position vector of a particle is r(t). Find the requested vector.The acceleration at t =  for r(t) = (5t - 4t3)i  + 2tan(3t)j + e4tk

A. a = 2?i + 72j + 16e1/3?k
B. a = - 2?i + 72j + 16e1/3?k
C. a = - 2?i - 72j + 16e1/3?k
D. a = - 2?i - 72j + 16k

Mathematics

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.6 ln x -  ln y

A. ln x6
B. ln 
C. ln 
D. ln x6y3

Mathematics