# MATHEMATICS II. ### FOR THE ST. LOUIS SCIENCE CENTER PLANETARIUM

For each problem worked in MATHEMATICS I your assignment for MATHEMATICS II is to find more than three applications that make each problem useful in a practical way. Have your teacher email your application(s) with just your initials. But show the nature of your idea and your solution.

### ALGEBRA AND ANALYTIC GEOMETRY PROBLEMS

Elevations, Hyperbola General, SLSCP Hyperbola, Function Representations Of SLSCP, 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, 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: