If x = log2a, y = logs, 2a, z = log1,3a: prove that xyz + 1 = 2yz. proof: Here, x = log2a, y = log 3,2a, z = log443a. Then
(2a)* = a (3a)y = 2a (4a)2 = 3a

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

On #16 : explain how factoring a trinomial, ax^2+ bx+ c, when a does not equal 1 different from factoring a trinomial when a = 1.

What is the slope of the line (-7,2) (4,6)