1.Use Newton's method to find all solutions of the equation
correct to six decimal places. (Enter your answers as a
comma-separated list.)
ln(x) = 1/(x-3)
2. Use Newton's method to find all solutions of the equation
correct to eight decimal places. Start by drawing a graph to find
initial approximations. (Enter your answers as a comma-separated
list.)
6e−x2
sin(x) = x2 −
x + 1
Use Newton's method to find all solutions of the equation
correct to eight decimal places. Start by drawing a graph to find
initial approximations. (Enter your answers as a comma-separated
list.)
6e−x2 sin(x) = x2 − x + 1
Use Newton's method to find all solutions of the equation
correct to eight decimal places. Start by drawing a graph to find
initial approximations. (Enter your answers as a comma-separated
list.)
−2x7 − 4x4 + 8x3 + 6 = 0
Use Newton's method to find all solutions of the equation
correct to eight decimal places. Start by drawing a graph to find
initial approximations. (Enter your answers as a comma-separated
list.)
4e-x2 sin(x) = x2 − x + 1
Use Newton's method to find all real roots of the equation
correct to six decimal places. (Enter your answers as a
comma-separated list.)
8/x = 1 + x^3
Use Newton's method to approximate the indicated root of the
equation correct to six decimal places.
The root of x4 − 2x3 + 4x2 − 8
= 0 in the interval [1, 2]
x = ?
Use Newton's method to find a solution for the equation in the
given interval. Round your answer to the nearest thousandths. ? 3 ?
−? = −? + 4; [2, 3] [5 marks] Answer 2.680
Q6. Use the Taylor Polynomial of degree 4 for ln(1 − 4?)to
approximate the value of ln(2). Answer: −4? − 8?2 − 64 3 ? 3 − [6
marks]
Q7. Consider the curve defined by the equation 2(x2 + y2 ) 2 =
25(x2 −...
Use Newton's method to estimate the solutions of the equation 5
x squared plus x minus 1=0. Start with x 0 equals negative 1x0=−1
for the left solution and x 0 equals 1x0=1 for the right solution.
Find x 2x2 in each case.
Use the z-table to find the requested probabilities.
Enter your answers to 4 decimal places.
(a)
P(z < −2.55) =
(b)
P(z ≥ 2.04) =
(c)
P(−1.92 < z < 1.93)
=
Use the z-table to find the requested probabilities.
Enter your answers to 4 decimal places.
(a)
P(z < 1.26) =
(b)
P(z ≥ −1.71) =
(c)
P(−2.19 < z < 2.65)
=