Answer:
Step-by-step explanation:
-6 is to the left from origin and π/12 is in between 0 and π/6 above the x-axis. So the point (-6, π/12) is in the second quadrant.
<u>Other points represent coordinates of:</u>
- A=(6, π/12), C=(-6, -π/12), D=(6, -π/12)
This is point B and correct choice is option B.
Answer:
Step-by-step explanation:
This is the answer because in a 30-60-90 triangle each side has a different formula to find it, the side across from angle 60 is half the hypotenuse and root 3
Answer:
a). converges
b). diverges
c). converges
Step-by-step explanation:
{ } = { }
Using radio test,
L =
=
=
=
= |r|
Therefore, converges in |r| < 1
a). r = 1/5
This sequence is monotonically decreasing and bounded.
0 < < 1
Hence, { } converges.
b). r = 1
{ } = { n }
This sequence is monotonically increasing sequence which is not bounded.
Hence, { } diverges.
c). r = 1/6
This sequence is monotonically decreasing and bounded.
0 < < 1
Hence, { } converges.
For |r| < 1, the converges.
The simplified form of the given expression is 2015
<h3>Simplifying expressions </h3>
The given expression is (x-2)(x+2)(x²+4)-(x²+3)(x²-3)+2022
The expression can be simplified as shown below
(x-2)(x+2)(x²+4) - (x²+3)(x²-3) + 2022
x(x+2)-2(x+2)(x²+4) - x²(x²-3) +3(x²-3) + 2022
(x²+2x-2x-4)(x²+4) - (x⁴-3x²+3x²-9) + 2022
(x²-4)(x²+4) - (x⁴-9) + 2022
x²(x²+4) -4(x²+4) - (x⁴-9) + 2022
(x⁴+4x²-4x²-16) - (x⁴-9) + 2022
(x⁴-16) - (x⁴-9) + 2022
x⁴ -16 -x⁴ +9 + 2022
x⁴ -x⁴ -16 +9 +2022
= 2015
Hence, the simplified expression is 2015
Learn more on Simplifying an expression here: brainly.com/question/723406
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