Answer:
Possible derivation:
d/dx(a x + a y(x) + x a + y(x) a)
Rewrite the expression: a x + a y(x) + x a + y(x) a = 2 a x + 2 a y(x):
= d/dx(2 a x + 2 a y(x))
Differentiate the sum term by term and factor out constants:
= 2 a (d/dx(x)) + 2 a (d/dx(y(x)))
The derivative of x is 1:
= 2 a (d/dx(y(x))) + 1 2 a
Using the chain rule, d/dx(y(x)) = (dy(u))/(du) (du)/(dx), where u = x and d/(du)(y(u)) = y'(u):
= 2 a + d/dx(x) y'(x) 2 a
The derivative of x is 1:
= 2 a + 1 2 a y'(x)
Simplify the expression:
= 2 a + 2 a y'(x)
Simplify the expression:
Answer: = 2 a
Step-by-step explanation:
Answer:
Mr. Mole is descending by 2.4 meters per minute
Step-by-step explanation:
Let
x ----> the time in minutes
y ---> the distance in meters
we know that
In this problem the rate of change or slope is the same that the speed
The formula to calculate the slope between two points is equal to

take two points from the table
(5,-18) and (8,-25.2)
substitute the values in the formula

---> is negative because is descending
Answer:

For this case the reliability of the sytem would be given by:

R1= 0.95, R2 =0.95, R3= 0.5, R4 = 0.79 , R5 = 0.6
And replacing we got:

Step-by-step explanation:
We can assume that the system work in series
If we have in general n units the reliability of the system is the probability that unit 1 succeeds and unit 2 succeeds and all of the other units in the system succeed. fror n units must succeed for the system to succeed. The reliability of the system is then given by:

For this case the reliability of the sytem would be given by:

R1= 0.95, R2 =0.95, R3= 0.5, R4 = 0.79 , R5 = 0.6
And replacing we got:

I'm going to assume that you're asking for the<em> equation</em> of that circle.
It's
<u>(x + 4)² + (y - 3)² = 16</u>