In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If
1 answer:
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Answer: option d. x = 3π/2
Solution:
function y = sec(x)
1) y = 1 / cos(x)
2) When cos(x) = 0, 1 / cos(x) is not defined
3) cos(x) = 0 when x = π/2, 3π/2, 5π/2, 7π/2, ...
4) limit of sec(x) = lim of 1 / cos(x).
When x approaches π/2, 3π/2, 5π/2, 7π/2, ... the limit →+/- ∞.
So, x = π/2, x = 3π/2, x = 5π/2, ... are vertical asymptotes of sec(x).
Answer: 3π/2
The figures attached will help you to understand the graph and the existence of multiple asymptotes for y = sec(x).
Solution:
function y = sec(x)
1) y = 1 / cos(x)
2) When cos(x) = 0, 1 / cos(x) is not defined
3) cos(x) = 0 when x = π/2, 3π/2, 5π/2, 7π/2, ...
4) limit of sec(x) = lim of 1 / cos(x).
When x approaches π/2, 3π/2, 5π/2, 7π/2, ... the limit →+/- ∞.
So, x = π/2, x = 3π/2, x = 5π/2, ... are vertical asymptotes of sec(x).
Answer: 3π/2
The figures attached will help you to understand the graph and the existence of multiple asymptotes for y = sec(x).
Option C: is the coordinates of C after translation.
Explanation:
The triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3).
Also, given that the triangle is translated 4 units down and 3 units left.
We need to determine the coordinates of the vertex C after translation.
The triangle is shifted 4 units down means subtracting 4 units from the y - coordinate of the graph.
Thus, it can be written as
Also, the triangle is shifted 3 units left means subtracting 3 units from the x - coordinate of the graph.
Thus, it can be written as
Thus, the translation is given by
The vertices of C after translation can be determined by
Thus, is the coordinates of C after translation.
Hence, Option C is the correct answer.