
Let
, so that differentiating both sides wrt
gives

If
and
, the above reduces to

This is the slope of the tangent line, which has equation

Answer:
The correct answer is:
Step-by-step explanation:
The given values are:
Service time varies,
Repair time = 2 hours
Standard deviation = 1.5 hours
Robotics uses per hour cost,
= $35
Company's cost per hour,
= $28
(a)
⇒ Arrival rate = Jobs per hours
then,
= 
= 
The jobs per hour will be:
⇒ 

(b)
⇒ Service rate = jobs per hour
then,
μ = 
= 
Answer:
π
V-foam = 4r³( 2 - ----- )
3
Step-by-step explanation:
Let the radius of the sphere be r. Then the volume of the sphere is
V = (4/3)(π)(r³).
Next, recognize that the side length of the cube is 2r, and that the volume of the cube is thus
V = (2r)³, or 8r³.
Then the volume of the foam is equal to the volume of the cube less the volume of the sphere:
V-foam = 8r³ - (4/3)(π)(r³). This could be factored into
π
V-foam = 4r³( 2 - ----- )
3
Answer:
5 cups
Step-by-step explanation:
There are 8 ounces in a cup, so the ratio given is ...
5/8 cup : 1 gallon
Multiplying this by 8, we have ...
5 cups : 8 gallons
If you are using 8 gallons of water, you need 5 cups of mix.
Answer:
80 minutes
Step-by-step explanation:
(3/4)/30=2/x
cross product
30*2=(3/4)x
60=3/4x
x=60/(3/4)
x=(60/1)(4/3)
x=240/3
x=80