In physics, pressure is the amount of force exerted on a surface per unit area, P=F/A .The pressure, in atmospheres (atms), of a liquid on the circular base of a bucket is represented by the composite function (P ∘ A) (r), where P (A) = 375 / A and A (r) = pi r^2 What is the domain of the composite function? a. {all real numbers}
b. {r|r≠0}
c. {r|r>0}
d. {r|r<0}

{r|r>0}

Step-by-step explanation:

Pressure is the amount of force exerted on a surface per unit area, P=F/A.

The pressure, in atmospheres (atms), of a liquid on the circular base of a bucket is represented by the composite function PoA(r), where P(A) =  375 / A and A (r) = pi r²

We know that the domain is the set of input values.

Pressure,

At r = 0, it becomes not defined.

It means that r can be any value that is greater than 0. Hence, the correct option is (c). i.e. {r|r>0}

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}