Can someone explain to me why I should have used the point (-2, 4) for this equation instead of (-7. -3)?
1 answer:
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Answer:
The interpolating polynomial is .
Step-by-step explanation:
We want to find a quadratic polynomial such that
,
and
. In order to do this let us write
.
Now, evaluating the polynomial in the points -1, 1 and 2 we get
This relations give us a linear system of equations:
where the ,
and
are the unknowns.
The augmented matrix of the system is
In this matrix it is easy to eliminate the 1's of the first column and get
From this matrix we can find the values of each unknown. Notice that the second row gives us that yields
.
Then, the third row means that gives
. So,
.
Finally, the first row is and substituting is
that yields
.
Therefore, the interpolating polynomial is
.
Ok, there are two scenarios here.
1) It's a typo and "<K" should be written as "<J"
if that is the case, we can convert from degrees,minutes,seconds >> degrees like so
once calculated, we get 48.43 degrees.
scenario 2)
<k is the third angle in a right triangle
this would mean that <j + <K + 90 = 180
from the first example, we know that <J = 48.43 degrees
Therefor
48.43 + <k + 90 = 180
48.43 + 90 = 138.43
so
138.43 + <k = 180
Therefor, <K = 41.57 degrees
I really hope this helps!!:)
1) It's a typo and "<K" should be written as "<J"
if that is the case, we can convert from degrees,minutes,seconds >> degrees like so
once calculated, we get 48.43 degrees.
scenario 2)
<k is the third angle in a right triangle
this would mean that <j + <K + 90 = 180
from the first example, we know that <J = 48.43 degrees
Therefor
48.43 + <k + 90 = 180
48.43 + 90 = 138.43
so
138.43 + <k = 180
Therefor, <K = 41.57 degrees
I really hope this helps!!:)