A radian is the distance around the circle that the radius and angle make. π is half of a circle and 2π is the whole 360 degrees. Radians and the unit circle relate because the points on the unit circle can be figured out by and then measured in radians. The main points on the unit circle are found by using sin and cos and can be converted into radians. Also, the main points on the unit circle are measured and used in radians. Radians relate to circumference because the formula for circumference is C=2πr and r is radius. The radius is used to measure a radian. Radians relate to degrees because each radian degree can be converted into degrees to be measured differently. For an example, the convert radians to degrees, you times is by 180/π and if you wan to convert from degrees to radians, you times it by π/180. I prefer radians because it is usually how things are measured in formulas and it is easier to just use radians instead of converting to degrees and then back to radians. I like either way, I just think radians is easy and faster. Radians also seems more mathematically pure because the formulas were made for that unit and also things could be confused while converting.
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If you have a loan, you can take the interest rate and multiply it by the loan price and it will give you the interest rate you have to pay plus the original amount of the loan. Subsidized and unsubsidized loans are federal student loans for eligible students to help cover the cost of their education. A credit union provides financial services for its members and a loan has to be repaid along with interest. Simple interest expense is calculated using the formula e = (principal)(rate)(time), and in cases where the interest compounds more than once per year, the formula a = p(1 + r/n)nt is used.
It would take 42 folds for the stack to reach the moon. This is unrealistic because it is impossible to fold a paper 42 times. The stack would be 2.2 inches after 42 folds. It does not matter because it is about height, not width. The more you fold it, the higher and thinner it gets.
Even and odd functions are similar because they are both symmetrical. They are different because even functions are symmetric over the y-axis and odd functions are symmetric about the origin. If you want to check to see if a function is even, you plug in -x and if it comes out like the original it is even. If you want to check and see if a function is odd, you make the function negative and plug in x and if the negative function comes out, it's odd. Types of functions that are almost always even are quadratic, cosine, and absolute value. Types of functions that are almost always odd are identity, cubic, and sine. The question I have after doing this assignment is what if the function isn't even or odd?
This function in an exponential function.
I think that the ball will go in because the ball will continue to follow the line. The ball was thrown and it reached a max and continued to fall at the same rate as it went up. The ball follows the arch of the parabola. The equation I used was -.19(x+.75)^2+2.4
1. a. this gragh means that he raised the flag gradually and consistently over time. b. this graph means that the flag was raised at a faster rate. c. this gragh means that he raised the flag, then paused, raised, then paused continuously. d. this graph means that the flag was raised at a slower rate. e. this graph means that the flag was raised slower in the middle of the pole than at the beginning and end. f. this graph means that he raised the flag within seconds, as in it went straight up in no amount of time. 2. I think a is the most realistic situation because it makes sense that he consistently pulled the flag up and it happened gradually over time. 3. I think f is the least realistic situation because it doesn't make sense that he raised the flag that fast and in one pull. The first set of functions I used were to make the hair. To make the hair I used a quadratic function. I made x negative so the line would flip and I added a slider to each function so I could make it more narrow or more wide. I then restricted the domain so that the hair would stop at the point I wanted.
The next set of functions I used were to make the eyes. The smaller circle of the eye is originally (x+1)^2 + (y-2)^2< .1 and I changed the .1 to .3 to make the outer eye bigger than the inner. The function I used is a constant function for the eyebrows. I set y equal to the point I wanted them on the graph and restricted the domain. I did the same to finish off the smile. The last thing I did was make a mustache using quadratic functions. I made x negative and added a slider to each line to made them different widths. I then restricted the domain so it would stop at the length I wanted. At first I found that changing around the functions to make a face was challenging but after I went over all the kinds of functions I found that it was easier. One thing I learned is how to restrict the domain and range. |