Answer:
f x y z 4y cos (< x >) y x sin z z xy k s is the hemisphere x2 y2 z2 25 z ≥ 0 oriented upward
use stokes theorem to evaluate f dr
s is the hemisphere x 2 y 2 z 2 16
consists of the top and the four sides but not the bottom of the cube with vertices oriented outward
stokes theorem triangle with vertices
f xyz x y 2 i y z 2 j z x 2 k where k is the triangle with vertices
∫ f ∙ dr c when f x y z 2xi 3zj xk and c is the triangle with vertices 0 0 0 1 1 1 and 0 0 2
s is the part of the paraboloid z 1 − x2 − y2 that lies above the xy plane oriented upward
I did the math and I think it should be 67.5
You have 5 quarters which equals 25 cents each. Which in total comes to $1.25.
You have 15 dimes which is worth 10 cents each.
Which in total comes to $1.50.
$1.50
+$1.25
=$2.75
Answer: x = -1 and y = -2
Step-by-step explanation:
So if you know y = x-1 you can plug that in where y is in the first equation
-4x + 3(x-1) = -2
Distribute the 3:
-4x +3x -3 = -2
Combine like terms:
-x -3 = -2
Add 3 to both sides:
-x = 1
Multiply by -1:
X = -1
Then you plug that into the other equation to get y=(-1)-1
Which is -2
Answer:
<u>20/48 = 42%</u>
Step-by-step explanation:
<u>Number of beige tiles</u>
- 48 - 8 - 6 - 9 - 5
- 40 - 6 - 9 - 5
- 34 - 9 - 5
- 25 - 5
- 20 beige tiles
<u>Probability (Beige)</u>
- No. of beige tiles / Total no. of tiles
- <u>20/48 = 42%</u>
