Ask Question, Ask an Expert


Ask Math Expert

Home >> Math

Task 1:


In this task you are required to make use of use trigonometric functions, research and use the Monte Carlo, Trapezoidal and Lower and Upper Rectangle methods of integration to determine areas under curves and perform calculations on your results. Information on all these methods can be found in your text on page 236-248 (you must generate between 300 – 500 points for Monte Carlo method). All other research must be referenced.

Note: The scale on the horizontal axis 1radian = 1cm.

Your father has decided to give your mother an Anniversary gift of a gold and pearl pendant and asked you to design one for her.

Your father has the following instructions for the jeweller:

1. The pendant must be between 3 and 4 cm (inclusive) in length and 3 cm wide.

2. The gold should have a thickness of 4 mm.

3. The pearl must have a diameter of 1 cm.

You have experimented with various functions on your calculator and have decided on the following design:


1. M2

Identify showing all working the trigonometric functions you have created that simulate the shape of the pendant. State any assumptions made.

2. K1

Using technology accurately graph the functions that match the designs and label the graphs.

3. M2

Use the Monte Carlo method and one of the other two methods to estimate the area of the gold. Fully justify your method with all graphs, formulae, spreadsheets shown and research done for these methods.

Be sure to state and justify any assumptions made.

4. K2

Demonstrate the calculus method to find the area of the gold on this pendant.

5. M3

Select the most accurate method to find the amount/area of gold required to make this pendant. Discuss the strengths and limitations of the model you have selected.

6. K2

Research the cost of gold and then find out the cost of gold to be used in the pendant. Show all calculations.

Math, Academics

  • Category:- Math
  • Reference No.:- M91457

Have any Question? 

Related Questions in Math

Consider the boundary value problem -ux ux -2 on-1 1 with

Consider the boundary value problem -u"(x) + u(x) = -2 on(-1, 1) with u(-1) = 0 and u(1) = 0. 1. What is the weak formulation of the equation? 2. Divide (-1, 1) into two subintervals of equal size and apply the method of ...

What is meant by the end behavior of a polynomial function

What is meant by the end behavior of a polynomial function? Explain how to use the leading coefficient to determine the end behavior of the graph of a polynomial functions. Clarify the different cases and provide an exam ...

Business ethics final paperthe final paper for admn2406

Business Ethics: Final Paper The final paper for ADMN2406 will be worth 40% of your overall grade.  It will be due on April 19, 2013.  It is recommended that you submit your paper online via email, although you may submi ...

A collection of dimes and quarters is worth 650 there are

A collection of dimes and quarters is worth $6.50. There are 35 coins in all. How many dimes are there? Write the correct system of equations and answer in a complete sentence thank you

Hookes law states that the force needed to stretch a spring

Hooke's law states that the force needed to stretch a spring is proportional to the amount the spring is stretched. If 20.00 lb stretches a certain spring 10.0 In, how much will the spring be stretched by a force of 9.00 ...

John borrowed 4700 from the bank in order to buy a new

John borrowed $4700 from the bank in order to buy a new piano. He will pay it off by equal payments at the end of each week for 3 years. The annual interest rate is 3.75%. Determine the size of payments, and the total in ...

The function that models the consumption of a certain

The function that models the consumption of a certain medication over the years 2000-2010 is 113.19x+223.5 where x is the number of years after 2000 and y is measured in grams per 100,000 people. Find the inverse of this ...

Let sc be a bargaining game and let td be the image of sc

Let (S,c) be a bargaining game, and let (T,d) be the image of (S,c) under the positive affine transformation x #→ ax + b on R2; that is, T = aS + b and d = ac + b. Prove that the set argmaxy∈T (y 1  - d 1 )(y 2  - d 2 ) ...

The store is selling lemons at 045 each each lemon yields

The store is selling lemons at $0.45 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of lemon juice?

Find thenbspareanbspand thenbspcircumferencenbspof a circle

Find the  area  and the  circumference  of a circle with  diameter 3cm. Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro