Solve the problem.Use Newton's method to estimate the solutions of the equation 
. Start with
for the right-hand solution and with x0 = -2 for the solution on the left. Then, in each case find x2.
What will be an ideal response?
f(x) = -3x2 - 2x + 1, f'(x) = -6x - 2
Right-hand solution:
x1 = 0.5
xn + 1 = xn - 
= 
therefore x2 = 0.3500
Left-hand solution:
x1 = -2
xn + 1 = xn - 
= 
therefore x2 = -1.3000
You might also like to view...
Write the expression in terms of sines and/or cosines, and then simplify.
A. 
B. 
C. 
D. cos x - sin x
Solve the equation.
f - 4 = 1
A. 6 B. 10 C. -10 D. -6
Write an equation using the information given in the problem. Use x as the variable.When a number is multiplied by 6, the result is 10.
A. 
= 10
B. 6x = 10
C. 
= 6
D. 10x = 6
Solve the problem.Newton's Law of Cooling states that the rate of change of temperature of an object is proportional to the difference in temperature between the object and the surrounding medium. Thus, if T is the temperature of the object after t hours and T0 is the (constant) temperature of the surrounding medium, then
where k is a constant. Assume that the temperature of a body at death is 98.6°F, the temperature of the surrounding air is 53°F, and at the end of one hour the body temperature is 89°F. Use Newton's Law of Cooling to determine the number of hours that have elapsed when the temperature of the body is 75°F.
A. 5.4 hours B. 4.3 hours C. 3.9 hours D. 3.1 hours