# Use the Divergence Theorem to evaluate S F · dS, where F(x, y, z) = z2xi + y3 3 +

###### Question:

Use the Divergence Theorem to evaluate

 S

F · dS,

where

F(x, y, z) = z2xi +

 y3 3

+ sin z

j + (x2z + y2)k

and S is the top half of the sphere

x2 + y2 + z2 = 4.

(Hint: Note that S is not a closed surface. First compute integrals over S1 and S2, where S1 is the disk

x2 + y2 ≤ 4,

oriented downward, and S2 = S1S.)

6. 0/10 points | Previous Answers SCalc8 16.9.017 My Notes Ask Your -z2ri + r2z + y2 k and s is the top half of the sphere r 2 . r Use the Divergence Theorem to evaluate F where F х, у z sed surt ce First compute d + . 4. int Note that Sis not a + s n z integrals over S1 and S2, where S1 is the disk x2 +y2s 4, oriented downward, and S2 -S1 U S.) 486 1-4 Talk to a Tuter Submit Answer Save Progress Practice Another Version ec View Previous Question Question 6 of 10 View Next Question >> Home My Assignments Extension Request

#### Similar Solved Questions

##### Please By deatiles and Clear line Q:) A refrigerent 22 compression system includes a liquid to...
Please By deatiles and Clear line Q:) A refrigerent 22 compression system includes a liquid to vapor Heat Exchanger which cools saturated liquid from the condenser from 36 c to 20 c with saturated vapor from the evaporator at -10 c. if the compressor displaces 1.5 m^3/min and the compressor process ...
##### Problem 16-4A Weighted average: Process cost summary, equivalent units, cost estimates C2Qc3Q P40 0 Main content...
Problem 16-4A Weighted average: Process cost summary, equivalent units, cost estimates C2Qc3Q P40 0 Main content Tamar Co. manufactures a single product in one department. All direct materials are added at the beginning of the manufacturing process. Conversion costs are added evenly throughout the p...
##### In what kingdom are anthropods found?
In what kingdom are anthropods found?...
##### Munoz Camps, Inc. leases the land on which it builds camp sites. Munoz is considering opening...
Munoz Camps, Inc. leases the land on which it builds camp sites. Munoz is considering opening a new site on land that requires $3,750 of rental payment per month. The variable cost of providing service is expected to be$6 per camper. The following chart shows the number of campers Munoz expects for...
##### Question 2 5 pts Which of the following statements is incorrect in relation to deadlocks? deadlocks...
Question 2 5 pts Which of the following statements is incorrect in relation to deadlocks? deadlocks can occur when processes have been granted exclusive access to devices, data records, files, and so forth O a preemptable resource should not be taken away from its process, because it may cause compu...
##### Correctly label the following parts of the rectum and anus. Correctly label the following parts of...
Correctly label the following parts of the rectum and anus. Correctly label the following parts of the rectum and anus. Rectum Pyloric sphincter Anal canal Anal columns External anal sphincter Anal sinuses Rectum Internal anal sphincter Rectal valve Anus Anal sinuses Reset Zoom...
##### What is the current through each resistor in the below circuit? R is some value of...
What is the current through each resistor in the below circuit? R is some value of resistance and all others are then multiples of that value as indicated. (Hint, the total resistance in relation to the resistor values does not change) 10 mA...
##### Find the general solution of the following equation. Express the solution explicitly as a function of...
Find the general solution of the following equation. Express the solution explicitly as a function of the independent variat dx =y (8x? +1) y=...
##### The mean age when smokers first start is 13 years old with a population standard deviation...
The mean age when smokers first start is 13 years old with a population standard deviation of 1.9 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS-electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean...
##### 309 2 A mixture of methane and helium is placed in a 2.0L flask at 27°C....
309 2 A mixture of methane and helium is placed in a 2.0L flask at 27°C. The partial pressure of CH, is 0.72 atm and the partial pressure of helium is 0.22 atm. What is the mole fraction of methane?...