Solve the problem.Use Newton's method to estimate the solutions of the equation
. Start with
for the right-hand solution and with x0 = -1.5 for the solution on the left. Then, in each case find x2.
What will be an ideal response?
f(x) = , f'(x) = 8x3 + 3
Right-hand solution:
x1 = 1
xn + 1 = xn - =
therefore x2 = 0.9091
Left-hand solution:
x1 = -1.5
xn + 1 = xn - =
therefore x2 = -1.4323
You might also like to view...
If 3x + 2y - 8 = 0, where does the line cross the y-axis?
a. (4,0) b. (0,4) c. (2,3) d. (3,2) e. (3,8)
Solve the problem.A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 25 ft and the vertical clearance must be 20 ft at a point 18 ft from the center. Find an equation for the ellipse.
A. +
= 1
B. +
= 1
C. +
= 1
D. +
= 1
Write the numerator and denominator of the fraction as a product of prime factors and divide by the common factors. Then write the fraction in lowest terms.
A. =
B. =
C. =
D. =
Sketch the graph of the equation. Identify the vertex and the intercepts.y = -5x + 2x2 - 7
A. vertex: ;
x-intercepts: (-1, 0) and (7, 0);
y-intercept: (0, -7)
B. vertex: ;
x-intercepts: (-1, 0) and ;
y-intercept: (0, -7)
C. vertex: ;
x-intercepts: (-1, 0) and ;
y-intercept: (0, 7)
D. vertex: ;
x-intercepts: (1, 0) and ;
y-intercept: (0, -7)