Answer:
It is proved that 
.
Step-by-step explanation:
We already have the identity of x as 
.......... (1) .
So, from equation (1) we can write that
⇒ 
⇒ 
⇒
Hence, it is proved that . (Answer)
Answer:
D) 50
20/0.4=50
Step-by-step explanation:
Answer:
The correct option is;
Increasing one fifth unit/sec
Step-by-step explanation:
The equation that gives the curve of the particle of the particle is y = 5·x² - 1
The rate of decrease of the y value dy/dt = 2 units per second
We have;
dy/dx = dy/dt × dt/dx
dy/dx = 10·x
dy/dt = 2 units/sec
dt/dx = (dy/dx)/(dy/dt)
dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)
When x = 1
dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec
dx/dt = 1/5 unit/sec
Therefore, x is increasing one fifth unit/sec.
Answer:
497,725
just subtract smallest from largest to get the difference
724,435 - 226,710
