'Sin t' presentation slideshows

Math 307 Spring, 2003 Hentzel Time: 1:10-2:00 MWF Room: 1324 Howe Hall Office 432 Carver Phone 515-294-8141 E-mail: hent

Math 307 Spring, 2003 Hentzel Time: 1:10-2:00 MWF Room: 1324 Howe Hall Office 432 Carver Phone 515-294-8141 E-mail: hentzel@iastate.edu http://www.math.iastate.edu/hentzel/class.307.ICN Text: Linear Algebra With Applications, Second Edition Otto Bretscher.

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Lecture (4)

Lecture (4). Plotting & Programming (1) Eng. Osama Talaat. Plotting. 0. t. 1. 2. 3. 4. 5. 5.18. s. -. 6.08. 24.97. 36. 54.98. 66.07. Plotting. 0. t. 1. 2. 3. 4. 5. 5.18. s. -. 6.08. 24.97. 36. 54.98. 66.07. Plotting : Line Colors. >> plot( t,s,'r ') Colors:

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Parametric Equations

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Unifying C-curves and H-curves by extending the calculation to complex numbers

Unifying C-curves and H-curves by extending the calculation to complex numbers. Jiwen Zhang, Frank-L. Krause, Huaiyu Zhang. 9(2005)P865-883 Reporter: ???. 1.Previous work. *C-curves (Pottmann, 1993; Zhang, 1996, 1997, 1999). {sin t, cos t, t, 1}.

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[Series Circuit]

[Series Circuit]. KFUPM , MATH 202 , 072 1)Khalid Abdulghani 2) Khaldoon Al- Azzah 3) Yousef Al- Shaheen 4)Abdulrahman Al-Saggaf 5) Ibraheem Alsufyani 6) Abdul-Aziz Abdul Hanif. Engineering interest !!. Voltage. current. &. Inductors. Capacitors. resistors. The problem.

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Parametric Equations

Parametric Equations. ordered pairs (x , y) are based upon a third variable, t, called the parameter t usually represents time there are two equations, one for x and one for y, each in terms of t. An interval, I, is provided to define the values for t [ t min , t max ]. Ex. . Ex. .

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Why MathCAD?

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Parametric Equations

Parametric Equations. ordered pairs (x , y) are based upon a third variable, t, called the parameter t usually represents time there are two equations, one for x and one for y, each in terms of t. An interval, I, is provided to define the values for t [ t min , t max ]. Ex. . Ex. .

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9.2

9.2. SUM AND DIFFERENCE FORMULAS FOR SINE AND COSINE. Sums and Differences of Angles. Sum and Difference Formulas sin( ? + ? ) = sin ? cos ? + cos ? sin ? sin( ? ? ? ) = sin ? cos ? ? cos ? sin ? cos ( ? + ? ) = cos ? cos ? ? sin ? sin ?

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Simple Trig Identities

Simple Trig Identities. Lesson 2.4b. Definition of An Identity. Any equation that is true for every number in the domain of the equation. Example 2x + 12 = 2(x + 6) Trig identities Ratio Identities Reciprocal identities Pythagorean identities. Ratio Identities.

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Derivatives of Parametric Equations

Derivatives of Parametric Equations. Lesson 10.2. Studying Graphs. Recall that a function , y = f(x) is intersected no more than once by a vertical line Other graphs exist that are not functions We seek to study characteristics of such graphs

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all points on the line.

Recall that for a real valued function from R n to R 1 , such as f ( x , y ) or f ( x , y,z ), the derivative matrix can be treated as a vector called the gradient instead of as a 1 ? n matrix. That is,

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3D plotting

3D plotting. Recap 2D plotting. plot( x,y ): given sequence of x and y values, connects the dots (x( i ),y( i )) Exercise: Plot a circle >>t= linspace (0,2*pi,100); >>plot( cos (t),sin(t)). Plot3: Plotting curves in 3D.

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Velocity and Acceleration Graphing Activity

Velocity and Acceleration Graphing Activity. *Note: In this activity, X means position or change in displacement!!! (meters) v = velocity (m/s), and t = time (s) All calculated acceleration values will be in units of m/s 2. 1.) X = 3(t-2) 2 + 3 from t= 1 to t= 3

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GBK Precalculus Jordan Johnson

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x= cos (t) y=sin(t)

x= cos (t) y=sin(t) . Sketch the graphs of cos (t) and sin(t) [0<t<2 ? ] Copy & complete the table: Sketch the graph of the equations [with coordinates ( x,y ) from table ].

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