Simulating Real Plant Growth

This is the final paper and it needs to demonstrate all that I have learned over the past 4 months. Here it goes: Assuming that plant grows in 8 steps at the 0.45 rate and that the first stem lenght is 20mm - This is what I have so far: 1/ I made a table showing the length of the plant's stem at the end of each step. 2/ I made a graph of the values in the table 3/ I, of course, wrote a formula representing the growth for each step: new length=old lenght + 0.45xold length Ok. Here is the problem: What else could I do with this data? What other relationships could I determine between the steps? Remember, I need to demonstrate knowledge through using a spreadsheet and performin... click for more

What is sin(x/4) of my graph?

I am having problems interpreting what sin(x/4) is . I have done a graph for sin(X) and sin(x/4) from 0 to 12pi on the x axis,and this makes the x axis go to about 37.699111 radians. The sin(x) goes from 0 up to +1 on the y axis, this is about 90 degrees. Then it goes back through the x axis at about 3, then down to y-1, this is about 270 degrees. Then it goes up to about 6.283185307 radians on the x axis. So does this mean that the value of x in sin(x) = 360 degrees or 6.283185307 or 2pi. This is were I am having the problem. The sin(x/4) aslo goes from 0 up to yx1 then it comes down through the x axis at about 13 and down to y-1, the same as sin(x). Then it goes right up to about 25.132... click for more

use quadratic functions for modelling motion

A new set of automatic sliding doors at the entrance to a supermarket is being designed. The doors will consist of a pair of 100cm wide glass panels which are programmed to slide open in opposite directions when a sensor is triggered. The panels are identical except for the direction in which they move. For the purposes of this question you will consider the motion of the right-hand panel, Let y be the position, measured in centimetres, of the left edge of the panel relative to its position when closed. The position is modelled as a function of time, t, in secondes. (i) It proposed that the doors should be programmed to open in two stages with the motion of the glass panel described by... click for more

Writing a trigonometric function for a bouncing ball.

Write a trigonometric function for a ball dropped from a distance of 5ft from the floor. Let the x-axis represent the time after the ball was dropped and the y axis represent the height in feet. Address these issues: 1. Explain the process you used to find the function. Include all math steps. Why did you select this particular equation? 2. What did you have to do to modify this equation to get it to fit to the behavior of the bouncing ball? 3. Graph the equation and label axes. Assume in this model that the ball rebounds 3/4 of its height each bounce.

Linear Proramming: Problem with three products and three additives plus a base

Incredible indelible ink company mixes three additives, A1,A2, A3 to a base in different proportions to obtain different colors of ink. Red ink is obtained by mixing A1, A2, and A3 in the ration of 3:1:2, blue ink in the ratio of 2:3:4, and green in the ratio of 1:2:3. After these additives are mixed, an equal amount of base is added for each color. The company currently has 1000 gallons of A1, 1500 of A2, 2000 of A3, and 4000 of base. Given that the selling price per gallon for each type on ink is the same, formulate a LP model to determine how these resources should be used to obtain the maximum revenue.