Math: Calculus
posted by REALLY NEED HELP!!!! .
Can someone help me out here with these two problem? I have know idea where to start.
1)The equation: 10(x1)(x2)(x3)=1,
has three real solutions a<b<c
where
a=____, b=___ , and c=___.
Enter your answers with at least six correct digits beyond the decimal point.
Hint: Ask what the solutions are if the right hand side is 0 instead of 1, and use Newton's Method.
2) Find the smallest positive value of which satisfies  x=4.100cos(2.800x)
Give the answer to four places of accuracy._________
Remember to calculate the trig functions in radian mode.

Mr. Pursley has answered both questions.
If you had read the links, you would be able to come up with preliminary, if not final answers.
If you encounter difficulties, post in detail what they are. 
I'll give you a headstart.
Rewrite the equation in the form:
f(x)=0
For example
f(x)=x²2=0
Calculate f'(x)=2x
Start with an approximation, say x0=1.
Calculate
x1=x0f(x0)/f'(x0)
=1(12)/2
=1.5
Repeat until the desired accuracy is obtained:
x2=x1f(x1)/f'(x1)
=1.5(2.252)/(2*2.25)
=1.444
x3=x2f(x2)/f'(x2)
=1.444(0.085136)/2.888
=1.41452
...
Notice that the number of accurate figures of the solution doubles with every iteration.
Try the method with the given problems and post if you have difficulties.
Respond to this Question
Similar Questions

math
Use the following missing pieces to complete the runaway math puzzle. 2 6 6 0 1 8 0 5 Rewrite the equations from the runaway math puzzle. 1. __  __ = ___ + ___ 2. 1 4  ___ = ___+ 5 3. ___ ____ = ___ + ___ 4. 8 + ___ = 1 5  1 figure … 
math [geometry honors]
i really need help solving these problems since the teacher just told us to complete them without explaining anything: #13. george, jhon, thomas, james, ____, ____ #14. martha, abigail, martha, dolley, ____, ____ #15. george, thomas, … 
Linear equations
I am not good at equations I need to complete this chart for this problem... y=1/2x4 X y (x,Y) __ 1 ____ 2 __ ____ __ 4 ____ 2 ___ ____ 8 ___ ____ I tried the first problem but I do not think it is correct.. y=1/2x4 x=1 y=1/2(1)4 … 
Math: Calculus
The equation: 10(x1)(x2)(x3)=1, has three real solutions a<b<c where a=____, b=___ , and c=___. Enter your answers with at least six correct digits beyond the decimal point. Hint: Ask what the solutions are if the right hand … 
science
freezing and thawing cycle that causes potholes in roads and breaks in rocks ___ ___ ___ ___ ___ ___ ___ ___ ____ 
math
Find the missing numbers to complete the patterns. Some are arithmetic and some are geometric. State the commom differences or common ratio. 1) 1,2,___,___,___,32 2)800,80,8,0,8,0.08,___,____ Some tricky ones that don't follow the … 
calculus
Leave any unneeded answer spaces blank. [Hint: use synthetic division to solve.] f(x) = (1x^3  3x^2  25x + 75)/(1x^3  19x^2 + 118x  240) the roots of f(x), in increasing order is/are.... ___, ___, ___ f(x) has holes when x is... … 
spanish
Usa la forma presente de ESTAR con el participio pasado del verbo entre parÃ©ntesis para completar cada oraciÃ³n. Are these answers correct? 
Math
Complete each ratio table: ___ 12 18 24 4.5 ___ ___ 18 80.8 40.4 ____ 10.1 ___ 512 256 ____ How do you complete a ratio table I have never done this before. Please help me. The spaces that I put are for the answers for each table. 
Science
So I am doing this science experiment about light. I chose to do one where you put a pencil in a glass of water and the light makes it look like it's bending. There is a chart of measurements that you need to fill out and I have no …