'Carramar www' presentation slideshows

We could square both sides

When trying to figure out the graphs of polar equations we can convert them to rectangular equations particularly if we recognize the graph in rectangular coordinates. We could square both sides. Now use our conversion:. We recognize this as a circle with center at (0, 0) and a radius of 7.

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GRAPHS OF

GRAPHS OF. SINE AND COSINE FUNCTIONS. y. 1. x. - 1. We are interested in the graph of y = f ( x ) = sin x. Start with a "t" chart and let's choose values from our unit circle and find the sine values. plot these points. x y = sin x.

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Matrix Algebra

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The Complex Plane; DeMoivre's Theorem

The Complex Plane; DeMoivre's Theorem. The magnitude or modulus of z denoted by z is the distance from the origin to the point ( x , y ). Remember a complex number has a real part and an imaginary part. These are used to plot complex numbers on a complex plane. Imaginary Axis.

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INVERSE

INVERSE. FUNCTIONS. 1. 2. 2. 4. 3. 6. 4. 8. 10. 5. Remember we talked about functions---taking a set X and mapping into a Set Y. 1. 2. 2. 4. 3. 6. 4. 8. 10. 5. Set X. Set Y. An inverse function would reverse that process and map from Set Y back into Set X.

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Mathematical

Mathematical. Models. Constructing Functions And Optimisation.

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The Law of Cosines

The Law of Cosines. Let's consider types of triangles with the three pieces of information shown below. We can't use the Law of Sines on these because we don't have an angle and a side opposite it. We need another method for SAS and SSS triangles. SAS. AAA.

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THE DOT PRODUCT

THE DOT PRODUCT. The definition of the product of two vectors is:. 1. This is called the dot product . Notice the answer is just a number NOT a vector.

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PROGRAMMING

Linear programming techniques are used to solve a wide variety of problems, such as optimising airline scheduling and establishing telephone lines. PROGRAMMING. LINEAR.

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SPECIAL

Computing the Values of Trig Functions of Acute Angles. USING. SPECIAL. TRIANGLES. In a 45-45-90 triangle the sides are in a ratio of 1- 1- . The 45-45-90 Triangle. This means I can build a triangle with these lengths for sides (or any multiple of these lengths).

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Separable Differential Equations

Separable Differential Equations. Separable Differential Equations. A separable differential equation can be expressed as the product of a function of x and a function of y. Example:.

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Remainder and Factor Theorems

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