Consider the parabola y=1-x^2. Find the point on the parabola
for which the tangent line through...
Consider the parabola y=1-x^2. Find the point on the parabola
for which the tangent line through that point creates a triangle in
the 1st quadrant and that triangle has minimum area.
1. Find the equation of the line tangent to the curve y=2x^2 +
sin4x at x= π/3.
2. Determine the point(s) where the tangent line to y= 2sinx-4x
has a slope of-3 in the domain 0≤x≤ 2π.
b) Find the equation of the tangent line.
Find the equation of
the tangent line at x=2 to the graph of
y= x^2-x-7
Write your answer as a
simplified slope-intercept equation y=mx+b.
For
example y=7x-8
(a)
Suppose that the tangent line to the curve y =
f (x) at the point (−9, 53) has equation
y = −1 − 6x. If Newton's method is used to locate
a root of the equation f (x) = 0 and the initial
approximation is x1 = −9, find the second
approximation x2.
(b)
Suppose that Newton's method is used to locate a root of the
equation f (x) = 0 with initial approximation
x1 = 9. If the...
find the x-coordinate of the point, correct to two decimal places,
on the parabola y=3.08-x^2 at which the tangent line cuts from the
first quadrant the triangle with the smallest area.