Answer:
It should be the last one, She made a sign error when multiplying.
In Cartesian coordinates, the region is given by

,

, and

. Converting to cylindrical coordinates, using

we get a Jacobian determinant of

, and the region is given in cylindrical coordinates by

,

, and

.
The volume is then
Each number is 4 times the previous number"
2*4 = 8
8*4 = 32
32*4 = 128
so next 3 are:
128 * 4 = 512
512*4 = 2048
2048 * 4 = 8192
512 , 2048, 8192
Answer:
2
Step-by-step explanation:
The height formula given is:
h = -16t^2 + 70
That means the object will be initially (t=0) at the height 70 feet, from where it will be dropped.
If we want to know the time when the object will be at height 6 feet, we just need to use h=6 in the equation, and then calculate the value of t:
6 = -16t^2 + 70
16t^2 = 64
t^2 =4
t = 2 s
So, it will take 2 seconds for the object to be 6 feet above the valley floor.
Answer:
Step-by-step explanation:
1/3x > -4
cross multiply
1>-4 × 3x
1>-12x
solve for x
x = -1/12