By using the online calculator, Desmos, I was able to graph equations that looked like flowers on the graph. Anyone can easily access Desmos by going to www.desmos.com. Before graphing any equations, I needed to switch the graph type into grid by going to the settings in the upper right hand corner of the screen. The graph above on the left was created with the equation r=(a)sin(b)theta; there are many other graphs that can be created from this equation, but by adding a and b sliders to the equation, I was able to choose the flower I liked the best. The next graph I was able to make our own flower with the equations that I learned about. The Equations below were the ones I used to create my second flower in the second graph.
This was the code used to make an ambulance sound:
float sinVal; int toneVal; int k=0; void setup () { pinMode(8,OUTPUT); } void loop () { while (k< 2000){ for (int x=0;x<180;x++) { // convert degrees to radians then obtain sin value sinVal = (sin(x*(3.1412/180))); // generate a frequency from the sin value toneVal = 2000+(int(sinVal*1000)); tone(8, toneVal); k++; delay(2); }} for (int x=0;x<180;x++) { // convert degrees to radians then obtain sin value sinVal = (sin(x*(3.1412/180))); // generate a frequency from the sin value toneVal = 2000+(int(sinVal*1000)); tone(8, toneVal); delay(5);} } This is the link to our video of the ambulance sound: https://drive.google.com/a/slsharks.net/#shared-with-me To make the siren sounds we changed the frequency to make the different sounds and you also change the delay to make the sound either go faster or slower. If you were to change the amplitude, it would either make the sound higher or lower. This unit circle makes it easy to find the sin, cos, tan, csc, sec, cot without doing more work than needed. For example, to find the sin of 120 degrees you find 120 degrees on the circle. Next, you look at its coordinates and the y coordinate is the sin.So the sin120 is the square root of 3 divided by 2. To find the cos do the same thing, except that cos is the x coordinate. So the cos120 is negative one half. Finding the tan is a little harder. To find the tan120 you have to solve tan=sin(theta)/cos(theta). So you would have to solve the square root of 3 over 2 divided by negative one half. You have to flip negative one half and multiple it so the 2's cancel out and you're left with negative square root of three. To find the radian you just find the degree on the circle and the radian is listed below.
For both the sin(x) and cos(x) graphs the period is 2pi; each graph also has an amplitude of 1. In the graphs, there are vertical asymptotes of sec, csc, tan, and cot; when cos=0 there will be a vertical asymptote on the sec graph and the tan graph. For the cot and sin graphs, there will be a vertical asymptote when sin=0. Though the graphs of sine and cosine have a period of 2pi and an amplitude of 1, they start and stop at different places on the graph.
It will take 42 "folds in halfs" for the stack to reach the moon. This unrealistic because the stack would be so microscopic, you wouldn't be able to see it. You wouldn't even be able to tell the width of the stack using the naked eye since it would be so small.
Does that matter? Use what you’ve learned in the activity above to justify your answer. Please also include a related image in your post. We studied the difference between government subsidized loans and government unsubsidized. The federal government pays the interest on subsidized loans during periods of authorized deferment, such as the in-school and economic hardship deferments. The interest remains the responsibility of the borrower on an unsubsidized loan. This makes subsidized loans a less-expensive option for students. Bank loans are not funded by the federal government but are funded by banks and other lenders; they do not have as flexible payments as federal loans. If I went to school for 4 years and borrowed $5,000 each each totalling $20,000 I could find out how much money I needed to pay monthly until I payed off the loan using the equation: A=P(1+r)^n. A= the amount you owe on the loan total; P=Principal; r = fixed annual interest rate (represented as a decimal); n = number of years.
A limit is a point beyond which a line does not extend or pass. A limit exists if both sides of the function are approaching the same number. When the discontinuity jumps from one line to another, the limit tells us how close to a number each side of the graph gets to.
To find the easy zeros, graphing the polynomial function is the most effective way. The easy zeros are all whole numbers that touch the x-axis. To find all hard zeros, divide all easy zeros through the polynomial function. Depending on the highest power a variable is raised to in the function, depends on how many zeros you are looking for. For example, is the function x^4-9x^3+18x^2+32x-96 is looking for 4 zeros. After synthetically dividing you should end up with (x-4)(x-4)(x+2)(x-3). To find all four zeros, set each equal to zero; you will be left with -2, 3, 4, 4. The degree of the polynomial will always tell you how many zeros are in the polynomial, but it will not always tell you the amount of real numbers.
The equation of the line less than zero is y=-2x+2 if x is less than or equal to 0. The equation of the quarter circle is the square root of 4-x^2 if 0<x<2. The equation for the line greater than 2 is (x-2)^2 if x is greater than or equal to 2.
|
AuthorWrite something about yourself. No need to be fancy, just an overview. Archives
April 2015
Categories |