Answer:
It the first one
Step-by-step explanation:
Answer:
B'(-6, 6)
Step-by-step explanation:
The dilation factor multiplies each coordinate value.
B(-2, 2) dilated by 3 ⇒ B'(-6, 6)
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
Answer:
∠AXC = 46°
∠BXC = 23°
Step-by-step explanation:
If XB is the angle bisector of ∠AXC then XB bisects ∠AXC t at X. Hence;
∠AXC = ∠AXB+∠BXC and ∠AXB= ∠BXC
The equation becomes
∠AXC = ∠AXB+∠AXB
∠AXC = 2∠AXB
Given
m∠AXB=23°
Substitute the given angle into the expression above to get ∠AXC since we are not told what to find but we can as well find ∠AXC
∠AXC =2(23)
∠AXC = 46°
<em>Also note that since ∠AXB= ∠BXC,</em> <em>then ∠BXC will be 23°</em>