This is a demonstration of concept: I tried to turn my current word doc formatted test into an HTML document. I did the best I could given present technologies. This document then acts as a demonstration of what can be done and what does not look good in HTML.
This Spring http://www.w3.org began the process of specifying an extension to HTML called MathML (Math Markup Language) that will allow the specifying of math notation in browsers. This will require, however, upgrading browsers to MathML capabilities. At the present moment only MSIE 4.0 supports any form of XML languaging and its support is limited.
MS 101 Spring 1998 Test Three. Chapters 6.3 to 7.1 of the Larson Hostetler text. This test consists of two parts. The first part must be completed using pen, paper, and calculator. During part one the computers will be off. This part will be collected no later than 8:25. After the answers to part one are collected, part two will be distributed and the computers will be turned on. Students will then complete part two using pen, paper, calculator, and, if they so choose, MathView.
Part 1: Paper, pen or pencil, and calculator only. Ends at 8:25.
(15) For the (x, y) coordinate (3, 4) shown on the left below, calculate the value of trigonometric functions of the inclusive angle q .
| 1a. | sin q = | ||
| 1b. | cos q = | ||
| 1c. | tan q = |
| Pts | Question | Answer | |
| 5 | Calculate sec (p/3) | ||
| 5 | Find the amplitude of
y = 7 cos  |
||
| 5 | Find the period of y =
7 cos |
||
| 5 | Find the frequency of
y = 7 cos |
||
| 10 | What are the vertical asymptotes for the function y = tan x over the domain – p < x < p ? |
Part Two
| Reciprocal Identities | ||
csc q = |
sec q = |
cot q = |
| Quotient Identities | Damped Harmonic Oscillator | |
tan q = |
cot q = |
y =
A e – k t sin |
| Pythagorean | Relationships | |
sin² q + cos² q = 1 |
1 + tan² q = sec² q |
1 + cot² q = csc² q |
(5) For the x = 30 m and y = 10 m in the building diagram shown on the left below, determine the angle q .
(15) The horizontal distance y that a ball thrown into the air travels as a function of the angle of elevation x at which it is thrown is given by the function:
y = 2 sin(x) cos(x) for 0 £ x £
a. Sketch a graph of the function for 0 £ x £
on the graph seen above on the right. (Remember to either zoom in or out to match the x and y axes shown or to open the graph panel and to adjust your x-axis and y-axis by manually changing the axes boundaries.)
b. Zoom in on the crest (peak) of the function and determine the x value of the crest to two decimal places: __________
c. Multiply your answer in b. above by
to determine the angle of elevation for the maximum distance of travel in degrees: _______
(10) A damped harmonic oscillator has an initial amplitude of 15 cm. After 100 seconds the amplitude is 10 cm. The period for one oscillation is 2 seconds. The oscillation follows a sine function.
a. Write the equation for this damped harmonic oscillator. Write answer on back.
b. How many seconds until the oscillation has an amplitude of 5 cm? _________
(10) Simplify: cot q · sec q + csc q Show work and the answer on the back.
Dana
Lee Ling
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