Answer:
2000cm²
Step-by-step explanation:
find the other side using pythagorean theorem
50²=30²+x²
x=40
Area = 40 * 50 = 2000cm²
Answer:
Step-by-step explanation:
7/18-2/9=7/18-4/18=3/18=1/6
The cheapest service would be the year in which the mean was the lowest. In Year 4, the mean was the lowest.
The most consistent service would be the year in which the range was the lowest. In Year 3, the range was the lowest.
Area: 78.5 inches squared
Circumference: 31.4
Answer:
a) 
b) 10
Step-by-step explanation:
a) Here 
Since the case 
= ∇
holds, then
∇
= 
So, 
If we integrate 
with respect to x, we will get an integration constant C which is also a function that depends to y and z.
Hence,
Now we need to find g(y,z).
So first let's take the derivative of g(y,z) with respect to y.
Hence, 
So now, if we integrate 
with respect to y to find g(y,z)
Thus,
And since 
, then 
Thus,
b) By the Fundamental Theorem of Line Integrals, we know that
![\int\limits^a_b F. dr = F[r(b)]-F[r(a)]](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20F.%20dr%20%3D%20F%5Br%28b%29%5D-F%5Br%28a%29%5D)
Hence,
![\int\limits^a_b F. dr = F(1,1,1)-F(0,0,0) =[(5+1+4)-(0+0+0)]=10](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20F.%20dr%20%3D%20F%281%2C1%2C1%29-F%280%2C0%2C0%29%20%3D%5B%285%2B1%2B4%29-%280%2B0%2B0%29%5D%3D10)
