Answer:
Z = 8 + 2x2 + 2y2
Convert to polar coordinates
Z = 8 + 2r2
Now theta will go from 0 to pi/2 because it's in the first quadrant.
R will go from 0 to the radius of the circle formed at the intersection of the plane and the paraboloid.
14 = 8 + 2r2
r = sqrt(3)
So r goes from 0 to sqrt(3).
You integrate 14-z where 0<r<sqrt(3) and 0<theta<pi/2.
It is 14-z and not z because just z would give the volume under the paraboloid.
Step-by-step explanation: please go answer my recent question
Answer:
point S
Step-by-step explanation:
The end point of each ray given is point S, as the definition of the ray states that there is only one end point, and the other continues indefinitely. Technically, if you use all the others as a start point, they also work as rays, but because S is the start point of all lines, S is the safer answer.
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Mrs. Smythe = x
Daughter = y
x = 2y
(x - 10) + (y - 10) = 46
x - 10 + y - 10 = 46
x + y - 20 = 46
x + y = 66
Put 2y in for x
2y + y = 66
3y = 66
y = 66/3
y = 22
The daughter is 22
The mother = 44
Answer:
10 seconds.
Step-by-step explanation:
The velocity at which they are approaching each other = 59 + 41 = 1000 km per second.
Velocity = distance / time
So time = distance / velocity
= 1000 / 100
= 10 seconds.
