Question

Determine the equations of two lines that pass through the point
(-1,-3) and are tangent to the graph of y=x^{2}+1.

Answer #1

Determine the equations of the lines that are tangent to the
ellipse x2 + 4y2 = 16 and also pass through
the point (4,6)
[ANSWER: 2x -y + 10 = 0 and x=4]

What are the equations of the lines that pass through the point
P(-3,-2) and that touch (tangent to) the circle with radius r = 5
and center M(4,-1)?

What are the equations of the lines that pass through the point
P(-3,-2) and the circle with radius r = 5 and center M(4,-1)?

What are the equations of the lines that pass through the point
P(-3,-2) and the circle with radius r = 5 and center M(4,-1)?

The
point (3,−1) is on a tangent line to the graph of ?^2 + 2?? + 2?^2
+ ?=0. Find the equations of those tangent lines. Provide the exact
answer in the slope-intercept form.

Find the equations of ALL tangent lines to the curve x 2 + 4y 2
= 8 that pass through the point (−4, 0).
- I got to dy/dx = -x/4y Now that I have that i am stuck.

Find equations of all lines having slope negative 1 that are
tangent to the curve y equals 1/x+9

Tangent Line Quiz
Find the slope and the equations of the tangent lines to the
given curves at each of the given points.
1. ? = 2 cos ? ? = 3 sin ?
a. ? = ?/4
b. ? = ?/2
2. ? = cos 2? ? = sin 4?
a. ? = ? /4
b. ? = ?/2

Determine the tangent line at point t = π/3 of the curve defined
by the parametric equations:
X = 2 sin (t)
Y = 5 cos (t)

Sketch the curve y = x^2 + 5 , and the point (0,-6) on the
same
coordinates. Find the equations of the lines that pass through the
point
(0,-6) and tangent to the curve y = x^2 +5 at the point x = a.
(Hint there
are two values of a : a > 0 and a < 0 )

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