Asolid lies above the cone z = x2 + y2 and below the sphere x2 + y2 + z2 = z. write a description of the solid in terms of inequalities involving spherical coordinates

Since solid is above the cone z >= √x^2 + y^2 or z^2 >= x^2 + y^2 or 2z^2 >= x^2+z^2 = p^2 or 2p^2 cos^2 φ >= p^2. Thus cos φ >= 1/√2 since the cone upwards. Thus 0 <= φ <= pi /4.

On the other hand in spherical coordinates the sphere here is pcos φ = p^2 so 0 <= cos φ since the solid lies between the sphere. Thus, making it the two inequalities.

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.