What is the slope of a line perpendicular to a line with equation 6x-4y=30
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where
s = arc length
n = measure of central angle
r = radius
You're looking for the extreme values of subject to
. The Lagrangian is
with critical wherever the partial derivatives vanish:
Substituting the first three solutions into the last equation gives
At these points, we have
so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).