Consider the parameterization of the unit circle given by x=cos(3t^2-t), y=sin(3t^2-t) for t in (-infinity, infinity). describe in words and sketch how the circle is traced out, and use this to answer the following questions.(a) when is the parameterization tracing the circle out in a clockwise direction? your answer as a comma-separated list of intervals, for example, (0,1), (3, put the word none if there are no such intervals.(b) when is the parameterization tracing the circle out in a counter-clockwise direction? your answer as a comma-separated list of intervals, for example, (0,1), (3, put the word none if there are no such intervals.(c) does the entire unit circle get traced by this parameterization? a. yesb. no

answer:

c

step-by-step explanation:

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x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752