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:
There is one solution.
x = -17
<em>Proof and step-by-step explanation:</em>
Step 1: <em>Add the numbers</em>
3x-7 = 4+6+4x
3x-7 = 10+4x
Step 2: <em>Move</em><em> </em><em>terms</em>
3x-7 = 10+4x
3x-4x = 10+7
Step 3: <em>Collect the like terms and calculate the sum</em>
3x-4x = 10+7
-x = 17
Step 4: <em>Change the sign by multiplying both sides by -1</em>
-x (×-1) = 17 (×-1)
x = -17
I hope this helped ! :)
Answer:
A. The median does not change.
Step-by-step explanation:
Original data set,
Put the numbers in order from smallest to largest
2,2, 4, 5, 5, 6,6, 8
Median is the middle number
2,2, 4, 5, 5, 6,6, 8
It is between the two 5's
(5+5)/2 = 10/2 = 5
New data set
Put the numbers in order from smallest to largest
2,2, 4, 5, 5, 6,6, 8,10
Median is the middle number
2,2, 4, 5, 5, 6,6, 8,10
The middle number is 5
Answer:
otay lol
Step-by-step explanation:
Answer:
2x+6=20
Step-by-step explanation: