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:

 x= 1
xn + 1 = xn -  = 
therefore x2 = 0.9091

Left-hand solution:

 x= -1.5
xn + 1 = xn -  = 
therefore x2 = -1.4323

Mathematics

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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)

Mathematics

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

Mathematics

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.  = 

Mathematics

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)

Mathematics