Answer:


Step-by-step explanation:
Given

Required
Complete the model
[ ] x = 6.60
x = _ hundredths

Equate to x

Multiply both sides by 15



So, we have:
[ ] x = 6.60 =====> 
Recall that:


This implies that:

Hence:
x = _ hundredths =====> 
I believe <span>angle 1 is 115°
</span>
Consider the closed region

bounded simultaneously by the paraboloid and plane, jointly denoted

. By the divergence theorem,

And since we have

the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have




Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by

, we have

Parameterize

by


which would give a unit normal vector of

. However, the divergence theorem requires that the closed surface

be oriented with outward-pointing normal vectors, which means we should instead use

.
Now,



So, the flux over the paraboloid alone is
The best way to do this is to first change each of the measurements into feet and then calculate the area:
2.44m = 8.01ft
1.83m = 6.00ft
When multiplied together (to give the area) we get:
8.01*6.00 = 48.1ft²
Answer:
4.4 ft/s
Step-by-step explanation:
Height = 15ft
Rate= 5 ft/s
Distance from the man to the kite= 32ft
dh/dt = 5 ft/s
h = √32^2 - 15^2
h = √ 1025 - 225
h = √800
h = 28.28ft
D = √15^2 + h^2
dD/dt = 1/2(15^2 + h^2)^-1/2 (2h) dh/dt
= h(225 + h^2)^-1/2 dh/dt
= (h / √225 + h^2)5
= (28.28 / √225 + 28.28^2)5
= (28.28 / √1024.7584)5
= (28.28/32)5
= 0.88*5
= 4.4 ft/s