Asprinkler distributes water in a circular pattern, supplying water to a depth of e^-r feet per hour at a distance of r feet from the sprinkler.

a) what is the total amount of water supplied per hour inside of a circle of radius 11?
b) what is the total amount of water that goes throughout the sprinkler per hour?

A) 12,5651 feet/hour

B) 12,5663 feet/hour

Step-by-step explanation:

A) Being

f

the amount of water distributed at a distance r. But, the total amount of water distributed inside a circle of radius r , is the sum of all the water distributed from 0 until r. That is

B) the total ammount of water that goes out of the sprinkler will be distributed to different distances according to f(r) , therefore it will be the sum of all the ammount of water at all the distances.

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: