Derive iterative formula for finding roots of cos function

Assignment Help Electrical Engineering
Reference no: EM13262848

Derive an iterative formula for finding the roots of cos(x) = x with Newton's method. Starting with an initial guess of x = 5 radians, determine the estimate of the root after five iterations. How many iterations are needed to get f (x) < 5 x 10^-10 for initial guesses xo =π , xo = 3π/2, and xo = 2π?

Reference no: EM13262848

Questions Cloud

Development of your hypothetical culture : Explain how the environmental constraints and opportunities led to the development of your hypothetical culture and explain how their world view is connected to broader structural and environmental factors.
Define nitrogen forms several gaseous oxides : Nitrogen forms several gaseous oxides. One of them has a density of 0.869 g L-1 measured at 764 mmHg and 150°C. Write the formula of the compound.
How much heat is added during this process : 0.023mol of a diatomic gas, with initial temperature 25?C, How much heat is added during this process
Find the original kinetic energy is lost in the collision : In Anchorage, collisions of a vehicle with a moose are so common that they are referred to with the abbreviation MVC. What percent of the original kinetic energy is lost in the collision to other forms of energy
Derive iterative formula for finding roots of cos function : Derive an iterative formula for finding the roots of cos(x) = x with Newton's method. Starting with an initial guess of x = 5 radians, determine the estimate of the root after five iterations. How many iterations are needed to get f
Describe what is the maximum mass in grams of nh3 : What is the maximum mass in grams of NH3 that can be produced by the reaction of 1.0g of N2 with 3.0g of H2
Describe what is the heat of fusion of water : The heat of fusion of water is 6.01kj/mol, and the molar heat capacity is 36.6 J/(K*mol) for ice and 75.3 J/(K*mol) for liquid water.
Find the peak-to-peak value of the largest input signal : An amplifier with a power gain of 26 dB, is using a dual power supply of +/- 14 V. Find the peak-to-peak value of the largest input signal the amplifier can process without clipping.
What are the wave speed and the tension in the string : A string of a violin is 32 cm long between fixed points with a fundamental frequency of 440 Hz and a mass per unit length of 7.2 x 10-4 kg/m.  What are the wave speed and the tension in the string

Reviews

Write a Review

Electrical Engineering Questions & Answers

  Show the relative uncertainty in volumetric flowrate

Water is flowing out of a tube at a near constant volumetric flowrate, V .If a graduated cylinder is used to collect a certain volume, v , of the water, and a timer is used to measure the time, t, required to collect the volume of water, the volum..

  What is the total charge that accumulates on the capacitor

The total charge that has accumulated on the positive plate of a capacitor varies with time. The charge follows q=At^2 for the first 4s. a) Find the value of current at t=2,6,9,12,16 s. b) Sketch the current i(t) as a function of time

  Find the capacitance and inductance of the matching network

The amplifier is connected to the handset antenna which has an impedance of 35 + j10 at one unspecified operating frequency. Find the inductive reactance and capacitive reactance needed to match the transmitter output to the antenna

  What will be the speed if the motor current is 10a

The motor resistance is 0.5ohm and the magnetic circuit may be assumed unsaturated. What will be the speed if: (i) the load torque is increased by 44%, (ii) the motor current is 10A

  What is the channel length modulation parameter

An n-channel MOSFET has a thershold voltage (Vt) of 0.5 V and a width to length ratio (W/L) of 2. If the tansistor generator the curve bleow when the gate to source voltage (VGS) is 1.5V. I D = 0.12mA. VDS = 0.5 V.

  How many turns are required for a circular loop

How many turns are required for a circular loop of 100-mm radius to develop a peak emf of 10mV if the loop rotates 30r/s in the earth's magnetic field Take B = 60E-6T.

  What are the net work and steam generator heat addition

A Rankine-cycle steam power plant has a 5-MPa/450C throttle and 10-kPa condenser pressure. What are the net work, steam generator heat addition, thermal efficiency, heat rate, and turbine exit quality

  Describe the how the hall effect it is used to measure

Describe the how the Hall Effect it is used to measure whether a semiconductor material is n-type or p-type. Sketch a diagram and show the critical measurements.

  Calculate the number of turns of the primary winding

A distribution transformer is used to supply a household. below. The load consists of eight 100-W bulbs, a 350-W TV, and a 15-kW kitchen range. If the secondary side of the transformer has 72 turns

  Determine whether operation results in overflow or underflow

Overflow occurs when a result is too large to be represented accurately given a word size. Underflow occurs when a result is too small to be represented correctly (for example, a negative result while doing unsigned arithmetic.).

  Write the assembly instruction necessary

Given the starting address for the TC0 Interrupt is to become $5000. Write the assembly instruction necessary to place this ISR address into the interrupt vector table and then unmask the interrupt (assembly only).

  Describe what is the mass of licl in a unit cell

Lithium chloride crystallizes in a face-centered cubic structure. The unit cell length is 5.14 10-8 cm. The chloride ions are touching each other along the face diagonal of the unit cell. The lithium ions fit into the holes between the chloride io..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd