Therefore, the solid is between the sphere of radius 9 and the cone which makes angle π/6 with the positive z-axis, and which lies above the first quadrant. To find the volume π/6 0 π/2 0 9 rho2 sin(ϕ) drho dθ dϕ 0 , we first calculate the innermost integral. 9 rho2 sin(ϕ) drho

2160ft3

step-by-step explanation:

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:

answer is b

step-by-step explanation: