The graph of the function f(x) = tan x is given above for the interval x in[0,2 pi] NL Determine the one-sided limit. Then indic
ate the equation of the vertical asymptote.
1 answer:
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Answer:
The slope is 0
Step-by-step explanation:
(2-2) divided by (6-5) equals to 0 which is the Slope
Answer:
The coordinates of B' and C' are and
, respectively.
Step-by-step explanation:
From the Linear Algebra, we define the translation of a given point as:
(1)
Where:
- Original point, dimensionless.
- Translation vector, dimensionless.
- Translated point, dimensionless.
If we know that and
, then the translation vector is:
(2)
If we know that ,
and
, then the translated points are, respectively:
(3)
The coordinates of B' and C' are and
, respectively.
9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
__
b) see attached for a graph
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c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
