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) = 4x2 + 2x - 5, f'(x) = 8x + 2
Right-hand solution:
x1 = 0.5
xn + 1 = xn - =
therefore x2 = 1.0000
Left-hand solution:
x1 = -2
xn + 1 = xn - =
therefore x2 = -1.5000
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Factor completely. If a polynomial cannot be factored, say it is prime.18y2 + 81y - 45
A. (18y - 9)(y + 5) B. prime C. 9(2y - 1)(y + 5) D. 9(2y + 1)(y - 5)
For the function f, construct and simplify the difference quotient .f(x) = 6 - 10x3
A. -10(3x2 + 3xh + h2) B. -10(3x2 - 3x - h) C. -10(x2 - xh - h2) D. -18x2
Provide an appropriate response.Write 2 as an improper fraction.
A.
B.
C.
D.
Factor the polynomial completely. If a polynomial cannot be factored, state that it is irreducible.9x2 + 30x + 25 - y2
A. (3x - 5 + y)(3x - 5 - y) B. (3x + 5 + y)(3x - 5 - y) C. irreducible D. (3x + 5 + y)(3x + 5 - y)