Other
MSE2183 Assignment 3 of 2022
- Course
- Institution
MSE2183 Teaching Geometry Mathematics 218 Assignment THREE of 2022 solutions.
[Show more]
Seller
Follow
lyzo2005
Reviews received
Content preview
MSE2183 ASSIGNMENT 3 2022SECTION A
Question 1
1.1
Activity 2.1
Number 1
1.4
1.5
Number 2
2.1
,3.1
1.2
Activity 2.2
Number 1
Number 2
,Number 3
Activity 2.3
‘Software for mathematics Visualisation – review by John’
1. The uses of sketchpad as a geometry teaching tool.
The Geometer’s Sketchpad is a computer software that may be used to draw graphs and make
constructions in Mathematics. The software can also be specifically used in a Geometry lesson. Arcs,
polygons, and coordinates may be drawn/plotted using the geometer’s sketchpad. The software can
analyse and interpret the drawn figures. Images of drawings may be imported into the sketchpad.
These imported images may be edited by changing orientation or size.
2. An outline of similar programs that are related to a sketchpad.
Graphmatica
This is a graphing software that plots graphs of equations and inequalities including polar, parametric
and ordinary differential equations.
RedCrab
This is an advanced calculator that handles complex calculations. It can also read notation from
uploaded images.
Advanced Trigonometry Calculator
This is an advanced calculator that handles not only trigonometric calculations. It also solves
quadratic equations, linear equations, problems in geometry and those in linear programming.
Graphing Calculator 3D
This is a graphing software that plots 2D and 3D graphs, including implicit equations, parametric
equations, inequalities and contour plots. The graphs may also be transformed and viewed using
different graphics and colours.
xFunc
This is an advanced calculator that handles complex calculations and shows the working or steps. The
solutions are displayed using relevant mathematical notation and my be copied from the software.
, Activity 4.7
𝑉 = 350 ml
𝑉 = 350 cm3
𝑉 = 𝜋𝑟 2 ℎ
350 = 𝜋𝑟 2 ℎ
350
=ℎ
𝜋𝑟 2
350
ℎ=
𝜋𝑟 2
𝑇𝑆𝐴 = 2𝜋𝑟 2 + 2𝜋𝑟ℎ
350
𝑇𝑆𝐴 = 2𝜋𝑟 2 + 2𝜋𝑟 ( )
𝜋𝑟 2
350
𝑇𝑆𝐴 = 2𝜋𝑟 2 + 2𝑟 ( )
𝑟2
350
𝑇𝑆𝐴 = 2𝜋𝑟 2 + 2 ( )
𝑟
2 × 350
𝑇𝑆𝐴 = 2𝜋𝑟 2 +
𝑟
700
𝑇𝑆𝐴 = 2𝜋𝑟 2 +
𝑟
700
Let 𝑓(𝑟) = 2𝜋𝑟 2 + 𝑟
𝑓 (𝑟) = 2𝜋𝑟 2 + 700𝑟 −1
𝑓 ′ (𝑟) = 2 × 2𝜋𝑟 2−1 + (−1) × 700𝑟 −1−1
𝑓 ′ (𝑟) = 4𝜋𝑟1 − 700𝑟 −2
𝑓 ′ (𝑟) = 4𝜋𝑟 − 700𝑟 −2
When 𝑓 attains its minimum, 𝑓 ′ (𝑟) = 0
4𝜋𝑟 − 700𝑟 −2 = 0
4𝜋𝑟1 × 𝑟 2 − 700𝑟 −2 × 𝑟 2 = 0 × 𝑟 2
4𝜋𝑟1+2 − 700𝑟 −2+2 = 0𝑟 2
4𝜋𝑟 3 − 700𝑟 0 = 0
4𝜋𝑟 3 − 700 (1) = 0
4𝜋𝑟 3 − 700 = 0
4𝜋𝑟 3 = 700
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller lyzo2005. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $16.56. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
52355 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now