Find the slope of the tangent line to the curve
xy3-4y+1.9875=0 at the point (0.1,0.5). the slope of the
tangent line to the curve at the given point is?
2. Find the point on the line 6x+y=9 that is closest to
the point (-3,1).
a. Find the objective function.
b. Find the constraint.
c. Find the minimum (You need to specify
your method)
Find parametric equations for the line through the point
(0, 2, 3)
that is perpendicular to the line
x = 2 + t,
y = 2 − t, z
= 2t
and intersects this line. (Use the parameter t.)
(x(t),
y(t),
z(t)) =
Let A = (3, 4), B = (0, −5), and C = (4, −3). Find equations for
the perpendicular bisectors of segments AB and BC, and coordinates
for their common point K. Calculate lengths KA, KB, and KC. Why is
K also on the perpendicular bisector of segment CA?