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: The maximum depth that he will reach is -125 meters.
The first thing you should realize is that this is a quadratic equation and the graph will be a parabola.
We can simply the equation to:
y = (1/20)x^2 - 5x
Now, use -b/2a to find the x-value of the vertex which is 50. Then, input 50 back into the equation to get -125 for the maximum depth.
Answer:
m = 6
Step-by-step explanation:
Hope this helps!
Answer:
26
Step-by-step explanation:
8:30 to 12:30 is 4 hours, 12:30 to 5:30 is 5 hours. So, the total hours is
4 + 5 = 9
9 hours
