Problem solving

identify 3 variable pairs // create table // create graph // describe results in words Problem solving

This is a math project for high school grade 12, this is supposed to be a group project. Calculus IN PDF

detials in pdf Trigonometric Functions Final Project – Hurricane Harvey

As a reminder, your poster should include…
General information about a specific hurricane/tropical storm, including…
Dates, wind speed(s), fatalities, damages, etc.
Information about the hurricane’s location, including…
At least two positions modeled by the equation of a circle on Desmos and
The distance between the centers of the two circles modeled above
Information about the weather patterns of a city that was impacted by your hurricane, including…
At least two weather phenomena modeled by trigonometric functions on Desmos

Instructions: 7 questions

Write a script to create the following arrays .
Write a function that takes N as input and finds the account balance after N years. Use for loop.
Repeat (a) without using any loop.
3.For −π/2 ≤ x ≤ π/2, with point spacing Δx = 1/50:
Plot sin(x), cos(x), tan(x), and exp(x) in a single plot. Make sin a red line, cos a black dotted line, tan a blue line, and exp a green dashed line. Make a legend. Label your axes and give th.e figure a title. Set the y axis to be -1<y<1. (20 points)
Extra credit. Write a script that finds the x values at which cos(x)=exp(x). (hint: use find function for |cos(x)-exp(x)|<0.001) (5 points)
4- While. Write a script that takes an integer, N, from the user input. Then computes the largest integer k such that 2k<=N. For example, if N =100, then k would be 6, because 2^6=64 100.
Display/print the message showing the k value: ‘the largest integer k is ….’
Hint: initially, set k=0. In a while loop, check if 2^k is less than N, if not, break the loop. (25 points)
Choose only one question (25 points). You can get extra credit for solving two or three questions:
5. Function, switch statement. Write a function that takes two square matrices of the same size and an operator name as inputs and apply the operator on the two matrices. The operator name can be ‘ ’, ‘-‘, ‘*’, and ‘/’. For example, when the function opName input is ‘ ‘, the function calculates A B; when the function opName input is ‘-‘, the function calculates A-B.
Function C = ApplyOp(A, B, opName)
Switch opName
Case ‘ ’
C=…;

In your main script, create the following matrices and call your function with all operators.
A=421020109,B=340715095
Function. You work for an engineering design firm that has been contracted to evaluate the concentration of pollutants. A tall chimney releases (20 kg/s) of smoke into a steady uniform wind of speed (u( m/s)). An expression for the decay of the peak pollutant concentration C(ppm) with distance downwind is given as:
C(x,y,z)=M4πρDx.e−(y2 z2)u4Dx
Assuming that the diffusion coefficient D to be 0.01 m2/s, and the density of air to be ρ=1.225kgm3
Write a function which gets the location(x,y,z) and the wind speed, u, as inputs and calculates the pollutant concentration.
Call your function to find how pollution concentration at location (x=3000, y=0, z=10) changes with wind speed 0<u<12 m/s. Plot the pollution concentration vs wind speed.
Loops and flow control. Make function called loopTest(N) that loops through the values 1 through N and for each number n it should display ‘n is divisible by 2’, ‘n is divisible by 3’, ‘n is divisible by 2 AND 3’ or ‘n is NOT divisible by 2 or 3’. Use a for loop, the function mod or rem to figure out if a number is divisible by 2 or 3, and num2str to convert each number to a string for displaying. You can use any combination of if, else, and elseif. Multivariable Calculus (Seabird: 15/12/2021)

E–x-a-m Time: Dec 22nd Wednesday, 10:30 to 11:45 amDuration: 1 hr 15 minutesQuestion structure: The examination will consist of short and long answer questions. The questions will be comparable to those covered in class; therefore, the best form of revision will be to work through lecture and tutorial questions, exercises and problems.Topic covered: Chap 10.8, 11.1, 11.2 computational finance question use matlab

For this assignment, you need to use Matlab to answer these questions. I need the full script, like the sample solution I provided. I provide an example, you can refer to the style of the answer, but the topic is not the same, for reference only. Problem solving

Please see attached files for exact instructions.
Thank you.  