Answer:
It decreases
Step-by-step explanation:
Given the expression: 70-3g
- When g=1, 70-3g=70-3(1)=70-3=67
- When g=2, 70-3g=70-3(2)=70-6=64
- When g=3, 70-3g=70-3(3)=70-9=61
- When g=4, 70-3g=70-3(4)=70-12=58
- When g=5, 70-3g=70-3(5)=70-3=55
From the above, notice that as g increases, the value of the expression decreases.
The inequality of -1/12 >6 is 2
Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.
a. The boundary of the hemisphere is the circle
in the plane
, where the curl is
. Green's theorem applies here, so that

which means the value of the line integral is 3 times the area of the circle, or
.
b. The closed sphere has no boundary, so by Stokes' theorem the integral is 0.
Answer:
220 squared units
Step-by-step explanation:
first, find the area of the rectangle by multiplying 8 by 20. Then, fin the area of the triangle by multiplying 6 by 20 and then dividing the result by 2.
8*20=160
6*20=120
120/2=60
Finally, add them together and you get 220 units squared.
Answer:
2>x
y>-1
Step-by-step explanation:
assume y=0 when finding x and vice versa