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) = 12x3 + 2

Right-hand solution:

 x= 1
xn + 1 = xn -  = 
therefore x2 = 1.0000

Left-hand solution:

 x= -1.5
xn + 1 = xn -  = 
therefore x2 = -1.3133

Mathematics

You might also like to view...

Find the area enclosed by the given curves.Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the line  above left by y = x + 4, and above right by y = - x2 + 10.

A.
B.
C.
D. 15

Mathematics

Write an equation for the linear function and use it to answer the given question.  The Math Club plans to pay a visitor to speak at a fundraiser. Tickets will be sold for  each. Find an equation that gives the profit/loss for the event as it varies with the number of tickets sold. How many people must attend the event for the club to break even.

A. p = 74 + 5n; 15 people B. p = 74 - 5n; 30 people C. p = -74 + 5n; 15 people D. p = -74 + 5n; 30 people

Mathematics

Evaluate the surface integral of the function g over the surface S.G(x, y, z) = x2y2z2; S is the surface of the rectangular prism formed from the planes x = ± 2, y = ± 3, and 

A. 36 B. 756 C. 2268 D. 1512

Mathematics

Multiply and simplify. Assume variables do not cause any denominators to equal 0. ? 

A. - 
B.
C.
D. - 

Mathematics