(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 a set of parametric equations for the tangent line to the
curve of intersection of the surfaces at the given point. (Enter
your answers as a comma-separated list of equations.)
z = x2 +
y2, z = 16 −
y, (4, −1, 17)
Find a set of parametric equations for the tangent line to the
curve of intersection of the surfaces at the given point. (Enter
your answers as a comma-separated list of equations.) z = sqrt(x2 +
y2) , 9x − 3y + 5z = 40, (3, 4, 5)
Find the equation of the tangent line to the curve
y=5sec(x)−10cos(x) at the point (π/3,5). Write your answer in the
form y=mx+b where m is the slope and b is the y-intercept.
Find the equation of the tangent line to the curve at the point
corresponding to the given value of t
1. x=cost+tsint, y=sint-tcost t=7pi/4
2. x=cost+tsint, y=sint-tcost t=3pi/4?