I don’t know if you meant to post the same question twice but the answer is C
The slope of an equation is the number that comes before x. The slope of the line of 1/2x + 2y = 3 is 1/2. The slope of the line of 7 - 3y = 21.
These types of equations are a little tricker because they are not in slope-intercept form.
I hope I helped!
I've attached a plot of the intersection (highlighted in red) between the parabolic cylinder (orange) and the hyperbolic paraboloid (blue).
The arc length can be computed with a line integral, but first we'll need a parameterization for
. This is easy enough to do. First fix any one variable. For convenience, choose
.
Now,
, and
. The intersection is thus parameterized by the vector-valued function
where
. The arc length is computed with the integral
Some rewriting:
Complete the square to get
So in the integral, you can substitute
to get
Next substitute
, so that the integral becomes
This is a fairly standard integral (it even has its own Wiki page, if you're not familiar with the derivation):
So the arc length is
What this for ? but i go with 5.5 hope this helped you
She would need 107.5 square cm to cover the smaller wedge of cheese.