Given the following equations, determine p as a function of z for each case (i. e. at p_2 = assume at z = z_1, p = p_1 and at z = z_2, p = p_2. answers without work will receive zero credit.
(a) dp/dz = - gamma where gama is a constant
(b) dp/dz = - gp/rt where g, r and t are constants
(c) dp/dz = - gp/r(a - bz) where g, r and t are constants
(d) dp/dz = - gp/r(a - bz) where g, r, a and b are constants

b i think

step-by-step explanation:

not really sure

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

2: 10

step-by-step explanation:

(8+64)^2= 5184 < answer

step-by-step explanation:

2^3 = 8

4^3= 64

(8+64)^2 = 5184