VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2...

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Transcript of VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2...

Page 1: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 2: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 3: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 4: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 5: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 6: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 7: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 8: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 9: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 10: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 11: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 12: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 13: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 14: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 15: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 16: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 17: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 18: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 19: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =
Page 20: VIIl Mathematics Chapter 14.pdf · —2 x.2x 3 x 3 x y x y x y -36/+9/ - (iii) 66 pqŽ r3 = 2 =llxqx 66pq r Iqr- — x3x11xpxqxqxrxrxr rx r 2 x3x11xpxqxqxrxrxr llxqxrxr (iv) 34 =

Examples and Sets. Synthesize each of These choose((x,y) =>10 x + 14 y == a) choose((x,y) =>10 x + 14 y == a&& x < y) choose((x,y) =>10 x + 14 y == a.

Examples and Sets. Synthesize each of These choose((x,y) =>10 x + 14 y == a) choose((x,y) =>10 x + 14 y == a&& x < y) choose((x,y) =>10 x + 14 y == a.

APPENDIX - cgesd.k12.or.us · Observation and/or narrative x x x x x x Other formal x Minimal to none x x Advise of number transferring? Y Y Y Y Y Y Y N Y Y N N Y NA Y Y N N Y Y N

APPENDIX - cgesd.k12.or.us · Observation and/or narrative x x x x x x Other formal x Minimal to none x x Advise of number transferring? Y Y Y Y Y Y Y N Y Y N N Y NA Y Y N N Y Y N

Trig Graphs. y = sin x y = cos x y = tan x y = sin x + 2.

Trig Graphs. y = sin x y = cos x y = tan x y = sin x + 2.

(x, y) (x, - y) (- x, - y) (- x, y). Sect 5.1 Verifying Trig identities ReciprocalCo-function Quotient Pythagorean Even/Odd.

(x, y) (x, - y) (- x, - y) (- x, y). Sect 5.1 Verifying Trig identities ReciprocalCo-function Quotient Pythagorean Even/Odd.

Rotation Reflection Translation. The grid Quadrant 2 (-x,+y) Quadrant 3 (-x,-y) Quadrant 1 (+x,+y) Quadrant 4 (+x,-y)

Rotation Reflection Translation. The grid Quadrant 2 (-x,+y) Quadrant 3 (-x,-y) Quadrant 1 (+x,+y) Quadrant 4 (+x,-y)

Your Talent Search, Simplified · 2017-09-15 · h l s h y g g, t s s y y s y t 340B Health x x x x x x x x x x Academy of Correctional Health Professionals x x x x x x x x Academy

Your Talent Search, Simplified · 2017-09-15 · h l s h y g g, t s s y y s y t 340B Health x x x x x x x x x x Academy of Correctional Health Professionals x x x x x x x x Academy

Plot (x-values, y-values) >> x = linspace (-3, 3, 20); >> x = linspace (-3, 3, 20); >> y = 2*x – 1; >> y = 2*x – 1; >> plot (x, y) >> plot (x, y)

Plot (x-values, y-values) >> x = linspace (-3, 3, 20); >> x = linspace (-3, 3, 20); >> y = 2*x – 1; >> y = 2*x – 1; >> plot (x, y) >> plot (x, y)

7.1: Systems of Linear Equations (2 Variables) y x y x y x y = ½ x –3 y = (-2/3)x + 2 One Solution (x, y) y = ½ x - 3 y = ½ x + 2 No Solutions y = ½ x.

7.1: Systems of Linear Equations (2 Variables) y x y x y x y = ½ x –3 y = (-2/3)x + 2 One Solution (x, y) y = ½ x - 3 y = ½ x + 2 No Solutions y = ½ x.

Amsterdam - uni-bonn.de · ngs: set M elation ≺ on M. • all x ∈ M holds x 6≺ x. • all y ∈ M r x ≺ y r y ≺ x r x = y. • If x ≺ y and y ≺ z then x ≺ z. • of

Amsterdam - uni-bonn.de · ngs: set M elation ≺ on M. • all x ∈ M holds x 6≺ x. • all y ∈ M r x ≺ y r y ≺ x r x = y. • If x ≺ y and y ≺ z then x ≺ z. • of

Wave Physicsphyweb.phys.soton.ac.uk/quantum/lectures/waves/waves17...Plucked guitar string L x y x,t x x L-x L+x y x y x y L x y L x •boundary conditions: Acoustic waves ... •register

Wave Physicsphyweb.phys.soton.ac.uk/quantum/lectures/waves/waves17...Plucked guitar string L x y x,t x x L-x L+x y x y x y L x y L x •boundary conditions: Acoustic waves ... •register

Subtraction Formula for Cosine - Noorduyn's Math …...Compound Angles cos(x+ y) = cos x cos y — sin x sin y cos(x — y) = cos x cos y + sin x sin y 1. Express each of the following

Subtraction Formula for Cosine - Noorduyn's Math …...Compound Angles cos(x+ y) = cos x cos y — sin x sin y cos(x — y) = cos x cos y + sin x sin y 1. Express each of the following

Increment Operator To increment a variable X by 1. X+1;X+=;++X; X = 10 Y = X + 1;Y = 11 X += 1;X = 11 Y = ++X + 4;Y = 15.

Increment Operator To increment a variable X by 1. X+1;X+=;++X; X = 10 Y = X + 1;Y = 11 X += 1;X = 11 Y = ++X + 4;Y = 15.

1 member(X,[Y| _ ] ) :- X = Y. member(X, [ _ | Y]) :- member(X, Y). It would be easier to write this…

1 member(X,[Y| _ ] ) :- X = Y. member(X, [ _ | Y]) :- member(X, Y). It would be easier to write this…

X= {x 0, x 1,….,x J-1 } Y= {y 0, y 1, ….,y K-1 } Channel Finite set of input (X= {x 0, x 1,….,x J-1 }), and output (Y= {y 0, y 1,….,y K-1 }) alphabet.

X= {x 0, x 1,….,x J-1 } Y= {y 0, y 1, ….,y K-1 } Channel Finite set of input (X= {x 0, x 1,….,x J-1 }), and output (Y= {y 0, y 1,….,y K-1 }) alphabet.

Introduction - arXiv · m(x,x,y) = m(x,y,x) = m(y,x,x) = xis said to be majority, and a ternary operation h satisfying h(x,y,y) = h(y,y,x) = xis said to be Mal’tsev. An operation

Introduction - arXiv · m(x,x,y) = m(x,y,x) = m(y,x,x) = xis said to be majority, and a ternary operation h satisfying h(x,y,y) = h(y,y,x) = xis said to be Mal’tsev. An operation

IT - 2(y - x) l(y - x) y - Chandler Unified School · PDF file2(y - x) > l(y - x) 2y - 2x >Y - x ... Alinear inequality issolved usingaprocedure ... Acompound inequality withthree

IT - 2(y - x) l(y - x) y - Chandler Unified School · PDF file2(y - x) > l(y - x) 2y - 2x >Y - x ... Alinear inequality issolved usingaprocedure ... Acompound inequality withthree

X y (x,y) x - coordinate y - coordinate. How are coordinates helpful?

X y (x,y) x - coordinate y - coordinate. How are coordinates helpful?

y x- intercepts x.

y x- intercepts x.

Special Products a(x + y + z) = ax + ay + az (x + y)(x – y) = x 2 – y 2 (x + y) 2 = x 2 + 2xy +y 2 (x – y) 2 = x 2 – 2xy +y 2 (x + y + z) 2 = x 2 + y.

Special Products a(x + y + z) = ax + ay + az (x + y)(x – y) = x 2 – y 2 (x + y) 2 = x 2 + 2xy +y 2 (x – y) 2 = x 2 – 2xy +y 2 (x + y + z) 2 = x 2 + y.

EXAMPLE OF PARTIAL ORDER PLANNING. Action Recipes: Action: Stack(x,y) Prec: Clear(x) ^ Clear(y) ^ OnTable(x) Effect: ~Clear(y) ^ ~OnTable(x) ^ On(x,y)

EXAMPLE OF PARTIAL ORDER PLANNING. Action Recipes: Action: Stack(x,y) Prec: Clear(x) ^ Clear(y) ^ OnTable(x) Effect: ~Clear(y) ^ ~OnTable(x) ^ On(x,y)