READ THE SAMPLE AND INSTRUCTIONS PAGE before uploading!

REMINDER: Please name your files 2P1XX FILENAME before uploading in case you overwrite other peoples' files!

DAY 1: 25 May

This topic is not completely alien to me as it encompasses the skills learnt in previous chapters, like for example, the Pythagoras theorem and calculating the equation of a straight line. Generally there are two learning points that is calculating the midpoint of a straight line and the distance of a line drawn from two points. However, these easily comprehensible points can be used to derive interesting questions which I find rather fulfilling. For example, it can be incorporated into algebraic question which require another perspective to fathom the answer. Also, what I find slightly challenging on this topic is looking for perspective when answering the question without drawing out any graph.

DAY 2: 26 May

Todays assignment is evidently tough as this is a new topic on circles and thus harder to fathom. I can only complete the first design as it is relatively simpler than the rest of the designs. Honestly, it was more of the hassle of converting the equations into two separate equations and to type them all down that poses much more difficulty. The basic concept is easier to understand as it just requires you to know the radius and centre point and as long as we can contemplate what every variable in the equation means, it can be rather interesting. I apologise for being unable to complete the rest.

Syringe
y1 = 0.5/(x>=-5 and x<=-4)
y2 = -0.5/(x>=-5 and x<=-4)
y3 = -x - 4.5/(x>=-6 and x<=-5)
y4 = x + 4.5/(x>=-6 and x<=-5)
y5 = 0.5/(x>=-3 and x<=0)
y6 = -0.5/(x>=-3 and x<=0)
y7 = 0.5/(x>=1 and x<=5)
y8 = -0.5/(x>=1 and x<=5)
y9 = -0.25x + 1.75/(x>=5 and x<=7)
y10 = 0.25x - 1.75/(x>=5 and x<=7)

Semi-Circles
y1 =sqrt(16-(x-4)^2)/(x>=0 and x<=4)
y2 =-sqrt(16-(x-4)^2)/(x>=0 and x<=4)
y3 =sqrt(9-(x-4)^2)/(x>=0 and x<=4)
y4 =-sqrt(9-(x-4)^2)/(x>=0 and x<=4)
y5 =sqrt(16-x^2)/(x>=-4 and x<=0)
y6 =-sqrt(16-x^2)/(x>=-4 and x<=0)
y7 =sqrt(9-x^2)/(x>=-4 and x<=0)
y8 =-sqrt(9-x^2)/(x>=-4 and x<=0)

READ THE SAMPLE AND INSTRUCTIONS PAGE before uploading!

REMINDER: Please name your files

2P1XX FILENAMEbefore uploading in case you overwrite other peoples' files!DAY 1: 25 May

This topic is not completely alien to me as it encompasses the skills learnt in previous chapters, like for example, the Pythagoras theorem and calculating the equation of a straight line. Generally there are two learning points that is calculating the midpoint of a straight line and the distance of a line drawn from two points. However, these easily comprehensible points can be used to derive interesting questions which I find rather fulfilling. For example, it can be incorporated into algebraic question which require another perspective to fathom the answer. Also, what I find slightly challenging on this topic is looking for perspective when answering the question without drawing out any graph.

DAY 2: 26 MayTodays assignment is evidently tough as this is a new topic on circles and thus harder to fathom. I can only complete the first design as it is relatively simpler than the rest of the designs. Honestly, it was more of the hassle of converting the equations into two separate equations and to type them all down that poses much more difficulty. The basic concept is easier to understand as it just requires you to know the radius and centre point and as long as we can contemplate what every variable in the equation means, it can be rather interesting. I apologise for being unable to complete the rest.

Submission of Designs:Design 1(LONDON 2010)Design 2("RU4")Design 3(SYRINGE)Design 3 (Optional)(BOAT)Xmin = -10

Xmax = 10

Ymin = -5

Ymax = 5

Equations:

First RingY1 =3 + sqrt(16-(x+9)^2)

Y2 =3 - sqrt(16-(x+9)^2)

Second RingY3 =3+sqrt(16-(x-0)^2)

Y4 =3-sqrt(16-(x-0)^2)

Third RingY5 =3+sqrt(16-(x-9)^2)

Y6 =3-sqrt(16-(x-9)^2)

Fourth RingY7 =-3 + sqrt(16-(x+4.5)^2)

Y8 =-3 - sqrt(16-(x+4.5)^2)

Fifth RingY9 =-3 + sqrt(16-(x-4.5)^2)

Y10 =-3 - sqrt(16-(x-4.5)^2)

Xmin = -10

Xmax = 10

Ymin = -5

Ymax = 5

Equations:

y1= sqrt(29-x^2)

y2= -sqrt(29-x^2)

y3= 2x/(x<=0)/(x>=-2)

y4= -2x(x<=2)/(x>=-2)

xmin: -7

xmax: 7

ymin: -5

ymax: 5

Syringey1 = 0.5/(x>=-5 and x<=-4)

y2 = -0.5/(x>=-5 and x<=-4)

y3 = -x - 4.5/(x>=-6 and x<=-5)

y4 = x + 4.5/(x>=-6 and x<=-5)

y5 = 0.5/(x>=-3 and x<=0)

y6 = -0.5/(x>=-3 and x<=0)

y7 = 0.5/(x>=1 and x<=5)

y8 = -0.5/(x>=1 and x<=5)

y9 = -0.25x + 1.75/(x>=5 and x<=7)

y10 = 0.25x - 1.75/(x>=5 and x<=7)

Semi-Circlesy1 =sqrt(16-(x-4)^2)/(x>=0 and x<=4)

y2 =-sqrt(16-(x-4)^2)/(x>=0 and x<=4)

y3 =sqrt(9-(x-4)^2)/(x>=0 and x<=4)

y4 =-sqrt(9-(x-4)^2)/(x>=0 and x<=4)

y5 =sqrt(16-x^2)/(x>=-4 and x<=0)

y6 =-sqrt(16-x^2)/(x>=-4 and x<=0)

y7 =sqrt(9-x^2)/(x>=-4 and x<=0)

y8 =-sqrt(9-x^2)/(x>=-4 and x<=0)