Step-by-step explanation:
x² - 2 = 2^(2/3) + 2^(-2/3)
x² = 2^(2/3) + 2 + 2^(-2/3)
x² = (2^(1/3))² + 2 × 2^(1/3) × 2^(-1/3) +
(2^(-1/3))² (It is in the form of a²+2ab+b²)
x² = (2^(1/3) + 2^(-1/3))²
x = 2^(1/3) + 2^(-1/3)
No solution exists for -3x+y=-18 and -3x+y=-6
Answer:
0
Step-by-step explanation:
a. By the fundamental theorem of calculus, the velocity function is

The particle starts at rest, so
, and we have

Then the position function is

with
, so

b. The particle is at rest whenever
; this happens for

where
is any integer.