Answer:
1/2
Step-by-step explanation:
The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that
Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.
- Mx(x,y) = d/dx 8x²y = 16xy
- Ly(x,y) = d/dy 7y²x = 14xy
Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral
We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows
We conclude that the line integral is 1/2
You add 11 to both sides first!
Well... we know that... there are 365 days in a year, unless is a leap-year, but we'll use 365 anyway
and each day has 24hrs, each hr has 60 minutes
so. let us use those ratios
so.. multiply and simplify, cancelling out any like-units atop and bottom
notice, all we do, is use the ratios, in a way, that if we need one unit to be changed, we flip the ratio
for example, to toss away "year" unit, since in the first fraction is at the bottom, then we put it on the top on the ratio, year/year = 1, effectively cancelling the unit
I use box method to solve this...:
100x^2+34x+49
I hope you wanted the formula! :)
14 is true because all even numbers are multiples of two.