# Q2 (10 points) Use the Green-Stokes formula in order to compute the vector line integral: (z + y') dx + (2x - z) dy + (x- - y) dz where T is the triangle with vertices (1, 0, 0), (0, 1,0) and (0, 0, 2) traversed in the direction implied by the order in which the vertices were given (i.e. from the 1st to the 2nd, to the 3rd and then back to the 1st one).

has the underlying vector field

with curl

Parameterize by

with , .

The implied orientation of the curve is counter-clockwise when viewing from the first octant (each of greater than 0), so that the normal vector to is pointing upward and away from the origin. Take this vector to be

Then by Stokes' theorem, the line integral is equivalent to

## Related Questions

1 Solve for a
- 4x + 8 =2x-10

x=3 i dont know where you got the a from but x=3

Step-by-step explanation:

-4x+8=2x-10

+10. +10

----------------------

-4x+18=2x

+4x. +4x

-------------------

6/18=6x/6

x=3

Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below. Let (x2, y2) be (–7, 4) and (x1, y1) be (2, –3). m = = = The slope is . What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.

She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

we have

Substitute the values

therefore

She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values

C

Step-by-step explanation:

the depth of a diver is directly proportional to the time since the diver entered the water if it took the diver 45 minutes to reach a depth of 80 ft what is the time it will take to reach a depth of 250 feet

1125/8 minutes

Step-by-step explanation:

45/80=x/250

cross product

80*x=45*250

80x=11250

x=11250/80

x=1125/8

Find the inverse of the relation y=3x+4, and then choose the correct statement from the list

To find the inverse, switch x and y and then solve for y.

You should end up with:  f^-1(x)= (-4+x)/3

Hope this helps!

The weight of an object is equal to 3/4 of its own weight plus 3/4 of a pound. How much does the object weigh

It weights 3 pounds?

Solve the system by substitution. y=-7x^2-9x+6 y=1/2x+11 A. no solution
B. (0,11)
C. (0,11), (2,12)
D. (-4,9), (10,16)

No solution because the first problem you can't solve
There is no solution. the lines never intercept at any point.

The of choice are ways epress 0.4 which is not

NO IT IS 4

Step-by-step explanation:

Simplify. a^6
——
a^2
••••••••••••••••••••••••••••••••
A) -a
———
a^3

B) a^5
———
a

C) a^4

D) 1
———
a^4
••••••••••••••••••••••••••••••••

C) a^4

Step-by-step explanation:

I think it’s this answer because you have to subtract the 6 from the 2. A just stays the same.

If 8 men can chop down 28 trees in one day, how many trees can 20 men chop down in
one day?

The number of trees that 20 men chop down in one day will be 70.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

If 8 men can chop down 28 trees in one day.

Let 'x' be the number of trees.

We know that the ratio of man and tree will remain constant. Then the equation is given as,

28 / 8 = 20 / x

Simplify the equation, then we have

8 / 28 = 20 / x

x = 20 (28 / 8)

x = 70

The number of trees that 20 men chop down in one day will be 70.