Plz solve this inequality
1 answer:
Answer:
Step-by-step explanation:
Remember that to deal with the negative sign to the left of the parentheses, you must think of it as a -1 multiplying the parentheses, and you distribute the -1 by multiply each term inside the parentheses by -1. That changes all the signs inside the parentheses.
Combine like terms on the left side.
Add 5 to both sides.
We now divide both sides by -10. Remember that when you divide both sides fo an inequality by a negative number, the inequality sign changes direction.
Answer:
You might be interested in
Answer:
The value of the line integral is 2
Step-by-step explanation:
Note that if you derivate the first part over the variable y and the second part over the variable x, then in both cases you obtain 2xy, therefore there must be a function f whose gradient is h, because the cross derivates are equal.
In order to find such f, you can calculate a primitive of both expressions, the first one over the variable x and the second one over the variable y.
A general primitive of xy² i (over x) is
With a(y) a function that depends only on y. A general primitive of yx² j (over y) is
With b(x) only depending on x
The function f(x,y) whose gradient is h is obtained by equaling the expressions of f₁ and f₂. f₁ and f₂ are equal when a(x) = b(x) = 0, therefore
note that
- fx(x,y) = xy²
- fy(x,y) = yx²
As we wanted. Lets find the endpoints of C
r(u) = u i + 2 u² j
r(0) = (0,0)
f(1) = (1,2)
Therefore,
The value of the line integral over C is 2.