Answer:
Correct answer: (x-√2)² + (y-√5)² = 3
Step-by-step explanation:
Given data: Center (x,y) = (√2,√5) and r = √3
The canonical or cartesian form of the equation of the circle is:
( x-p )² + ( y-q )² = r²
Where p is the x coordinate of the center, q is the y coordinate of the center and r is the radius of the circle.
God is with you!!!
Hi!
im not really sure what the answer is but i got 1 3/5
hope that helps!
The possible values (L,W): (1,7),(2,6),(3,5),(5,3),(6,2),(7,1)
Answer:
Step-by-step explanation:
because both equations do not have matching numbers for the x or y variable, and both equations are positive you are going to have to multiply each equation by a number so that there will be at least one variable with the same number but with opposite signs.
it does not matter which variable you choose.
lets use y because 2 and 3 are smaller then 2 and 5.
so lets multiply the first equation by 2 in order to get y equal to 6.
2(2x)+2(3y)=(2)6
(do not forget to multiply what the equation is equal to also)
4x+6y=12
now for the second equation we need y to equal negative 6
-3(5x)+-3(2y)=-3(4)
-15x-6y=-12
now lets put the 2 new equations next to each other and see what we can cancel out
4x+6y=12
-15x-6y=-12
-11x=0
x=0
now plug 0 in for x and solve for y (it does not matter which of the 4 equations you choose to solve.
2(0)+3y=6
3y=6
y=2
so your answer is x=0, y=2
a. Parameterize
by

with
.
b/c. The line integral of
over
is




d. Notice that we can write the line integral as

By Green's theorem, the line integral is equivalent to

where
is the triangle bounded by
, and this integral is simply twice the area of
.
is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.