# MATHEMATICS I. ### ALGEBRA AND ANALYTIC GEOMETRY PROBLEMS

Elevations, Hyperbola General, A Close SLSCP Hyperbola, Function Representations Of SLSCP, Parabola General, Ellipse General, Parabolic Curve Fitting, Hyperbola Curve Fitting, Solving SLSCP Systems, Parametric Equations, Rotation Of Axes

### GRAPHING PROBLEMS

Graphing To Scale, Labeling Points, Labeling Objects, Different Graphs, Graphing Calculators, Computer Graphs

### 3-D GRAPHING PROBLEMS

Three Dimensional Graphs, Models, Using Answers From Problems

### GEOMETRY PROBLEMS

Regular n-gon Geometry, Regular 72-gon Geometry, Exhibit Areas, Surface Areas, Volumes, Perimeter, Lateral Surface Area, Level B Outer Circumference, Floor Area and Lateral Surface Area

### CALCULUS PROBLEMS USING DIFFERENTIATION

Slopes and Angles, Attachments, Graphing With Calculus, The Bow, A Limit, Curvature, Radius Of Curvature

### CALCULUS PROBLEMS USING INTEGRATION

Sky Dome Rotation For Volume, Sky Dome Rotation For Surface Area And Mass, Cylinder Rotation For Volume, Cylinder Rotation For Surface Area, Hyperbola Rotation For Volume, Hyperbola Rotation For Surface Area

### VECTOR CALCULUS PROBLEMS

Three Dimensional Representation Of SLSCP Objects, Vector Functions Around SLSCP

## Problem 1.

```You may like to rotate:

X = 30.5 ( 1 + Y^2 /15.4^2)^0.5

for -40 less than or equal to Y less than or equal to 14.5

about the Y axis to get the general idea of what you see from
Highway 40.```

This material is presented in tribute to Mr. Chih-Chen Jen, Mr. Albert Alpers, Mr. Milo Ketchum, and Mr. Thomas Teasdale. You may link to the following pages: