Deck 16: Vector Calculus

Question 1

Answer 1

Question 2

Answer 2

Question 3

Answer 3

Question 4

Question 5

Question 6

Question 7

Evaluate the line integral over the given curve C.

Question 8

Find the curl of the vector field.

Question 9

Find the curl of the vector field.

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Find the curl of the vector field F.

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Use Green's Theorem to find the work done by the force

Question 48

Question 49

Assuming that S satisfies the conditions of the Divergence Theorem and the scalar functions and components of the vector fields have continuous second order partial derivatives, find

Question 50

Question 51

Question 52

____

Question 53

Question 54

Question 55

Question 56

Find the area of the surface.

Question 57

Question 58

Evaluate the surface integral.Round your answer to four decimal places.

Question 59