Find the arc length of the partial circle.
2 answers:
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We're minimizing 
subject to 
. Using Lagrange multipliers, we have the Lagrangian
with partial derivatives
Set each partial derivative equal to 0:
Subtracting the second equation from the first, we find
Similarly, we can determine that
and 
by taking any two of the first three equations. So if 
determines a critical point, then
So the smallest value for the sum of squares is
when 
.
with partial derivatives
Set each partial derivative equal to 0:
Subtracting the second equation from the first, we find
Similarly, we can determine that
So the smallest value for the sum of squares is
The perimeter when 96 triangles are put together in the pattern shown below will be 98cm
Find the required triangle attached
In the diagram shown, we can see that we have 5 triangles.
The first thing we need to do is add one more triangle to have, six triangles,
Perimeter of the resulting 6 triangles = 6 + 2 = 8cm
For 8 triangles;
Perimter = 8 + 2 = 10cm
For "n" triangles;
Perimeter of n triangles = n + 2
Hence if 96 triangles are put together in the pattern shown below, hence
n = 96
Perimeter of the 96 triangles = 96 + 2
Perimeter of the 96 triangles = 98 cm
Hence the perimeter when 96 triangles are put together in the pattern shown below will be 98cm
Learn more here: brainly.com/question/13362349
