Answer:
452.16 square yards
Step-by-step explanation:
The equation for the SA of a sphere is A=4πr2
Substituting r = 6 yards : A= 4 * 3.14 * 6^2 = 452.16 square yards
is conservative if there is a scalar function 
such that 
. This would require
(or perhaps the last partial derivative should be 4 to match up with the integral?)
From these equations we find
so 
is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:
Answer:
3
Step-by-step explanation:
Rewrite the logarithmic notation to index notation.
4^x=64
Change 64 to index notation
ie 64 = 4^3
Since the base is the same(4) cancel them out
You remain with x = 3
Answer:
B. -pi/6
Step-by-step explanation:
First we have to find the area. To do that, we first have to find the side lengths of the square. Since a square has all four sides same length, we can find this by dividing: 52/4 = 13
Now we'll find the area in square meters: 13 * 13 = 169
So the area is 169 square meters.
So to find out how much that will cost, we will multiply the number of square meters by the amount it cost per square meter: 169 * $5 = $845
So it will cost $845
