Answer:
The answer to your question is
Step-by-step explanation:
Data
(-4, 0) (4, 0)
(0, 5) (0, -5)
Plot the point to determine if it is a horizontal or vertical hyperbola
It is a horizontal hyperbola because the vertices are in a horizontal line. The center is (0, 0).
a = 4
b = 5
Formula
Substitution
Equation
Answer:
Everything except 21/40. That is your ratio. The denominator always
Answer:
0
Step-by-step explanation:
We want to compute the curve integral (or line integral)
where the force field F is defined by
F(x,y) = (y, -x)
and C is the path consisting of the line segment from (1, 5) to (0, 0) followed by the line segment from (0, 0) to (0, 9).
We can write
C =
where
= line segment from (1, 5) to (0, 0)
= line segment from (0, 0) to (0, 9)
so,
Given 2 points P, Q in the plane, we can parameterize the line segment joining P and Q with
<em>r(t) = tQ + (1-t)P for 0 ≤ t ≤ 1 </em>
Hence can be parameterized as
for 0 ≤ t ≤ 1
and can be parameterized as
for 0 ≤ t ≤ 1
The derivatives are
and
In consequence,