Mathematics Homework Solutions

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 ma ...continues

What is sin(/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 ...continues

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 ...continues

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 ...continues

This is an LP 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 ...continues

Power relationships

This question concers the following data lists x 3 4 5 6 7 9 10 y 4.6 4.0 3.6 3.3 3.0 2.7 2.5 It is thought that x and y are related by a power relationship, that is, a function of the form y=ax^b. Perform power regression on these data, nd then choose the one option describing a situation which these d ...continues

Model a journey

This question concers part of a homeward car journey made by Hilary. At 9.15am. Hilary is 200km from home, and, at 11.45am. she is 150km from home. Choose the two True statements. Options A. Hilary's average speed for this part of the journey is 20km per hour B. Hilary's average speed for this part of the journey is ...continues

Graphs to model motion

Demonstrate the use of graphs to model motion by explaing how such models are created, and how the interpretation of the results depend upon the assumptions made.

Choosing the type of regression model

Demonstrate your understanding of choosing the type of regression model to the given data, by explaning three factors that should be taken into account in the choice between different models.

Simulation using the 8 steps model

John decides to set up a music group with his even best friends. The group will work only if at least five of his friends can join. Using simulation, answer the following: 1. If John thinks that there is a 50% chance that each of his friends will join the group, can you estimate the probability of getting at least five frien ...continues

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