x <-3 includes the numbers-4, -5, -6..........
x> 5 includes the numbers 6, 7 , 8.....
here we have to find intersection of these two.
By intersection we mean the values of x that occur in both the sets,
here there is no number or value of x that occur in both the sets.
So answer is empty set
Answer:
<u><em>The balance of the odds must be for spins of different colours. Therefore, 81/81 - 29/81, the odds of getting two different colours.</em></u>
Answer:
Step-by-step explanation:
Given:
x = 2cost,
t = (1/2)arccosx
y = 2sint
dy/dx = dy/dt . dt/dx
dy/dt = 2cost
dt/dx = -1/√(1 - x²)
dy/dx = -2cost/√(1 - x²)
Differentiate again to obtain d²y/dx²
d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)
At t = π/4, we have
(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)
That equal 1 because they are the same
