Question

*Use Newton's method to find an approximate answer to the
question. Round to six decimal places. 2) Where is the first local
maximum of f(x) =3x sin x on the interval (0, Q)
located?*

Answer #1

8. (a) Use Newton's method to find all solutions of the equation
correct to six decimal places. (Enter your answers as a
comma-separated list.) sqrt(x + 4) = x^2 − x 2.
(b) Use Newton's method to find the critical numbers of the
function: f(x) = x^6 − x^4 + 4x^3 − 3x, correct to six decimal
places. (Enter your answers as a comma-separated list.) x =

Use
Newton's method to approximate the root of the equation to four
decimal places. Start with x 0 =-1 , and show all work
f(x) = x ^ 5 + 10x + 3
Sketch a picture to illustrate one situation where Newton's
method would fail . Assume the function is non-constant
differentiable , and defined for all real numbers

Use Newton's method to find the absolute maximum value of the
function f(x) = 8x sin(x), 0 ≤ x ≤ π correct to
SIX decimal places.

Use Newton's method to find all solutions of the equation
correct to six decimal places. (Enter your answers as a
comma-separated list.)
x + 4
= x2 − x

46. Use Newton's Method to approximate the zero(s) of the
function. Continue the iterations until two successive
approximations differ by less than 0.001. Then find the zero(s) to
three decimal places using a graphing utility and compare the
results.
f(x) = 2 − x3
Newton's method:
Graphing utility:
x =
x =
48. Find the differential dy of the given function.
(Use "dx" for dx.)
y = x+1/3x-5
dy =
49.Find the differential dy of the given function.
y...

3.8/3.9
5. Use Newton's Method to approximate the zero(s) of the
function. Continue the iterations until two successive
approximations differ by less than 0.001. Then find the zero(s) to
three decimal places using a graphing utility and compare the
results.
f(x) = 3 − x + sin(x)
Newton's Method: x=
Graphing Utility: x=
6. Find the tangent line approximation T to the graph
of f at the given point. Then complete the table. (Round
your answer to four decimal places.)...

Use Newton's method to find all the roots of the equation
correct to eight decimal places. Start by drawing a graph to find
initial approximations.
3 sin(x2) = 2x

Use Newton's method with the specified initial approximation
x1 to find x3, the third
approximation to the root of the given equation.
x3 + 5x − 2 =
0, x1 = 2
Step 1
If
f(x) =
x3 + 5x − 2,
then
f'(x) = _____ x^2 + _____
2- Use Newton's method to find all roots of the
equation correct to six decimal places. (Enter your answers as a
comma-separated list.)
x4 = 5 + x
.

Use Newton's method to find the
number arcsin(1/3) rounded to 14 digits after the
decimal point by solving numerically the equation sin(x)=1/3 on the
interval [0,pi/6].
1) Determine f(a) and f(b).
2) Find analytically f', f'' and check if f '' is continuous on
the chosen interval [a,b].
3) Determine the sign of f' and f '' on [a,b] using their
plots.
4) Determine using the plot the upper bound C and the lower
bound c for |f'(x)|.
5) Calculate the...

1. Use a power series to approximate the definite integral, I,
to six decimal places. 0.4 to 0, (x5 / 1 + x6 ) dx
2. Find a power series representation for the function. (Give
your power series representation centered at x = 0.)
f(x) = ln(9 − x). Determine the radius of convergence, R. I
already found the first part to be x is 1/n(x/9)^n but can't find
R

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