# Questions tagged [homework]

Homework questions are welcome, as long as they are asked honestly, explain the problem, and show sufficient effort. Please do not use this as the only tag for a question. Please do not add this tag to questions by other people unless they explicitly say that their question is part of their homework.

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### Computmg the powers of a complex number? [closed]

this is the complex number im dealing with zb=(1/7)* (Cos[Pi/3]+I Sin[Pi/3]) I need to represent for the first 10 powers in the plane. I also need to label the ...
35 views

### Setting up a quadratic equation [closed]

Need help setting up the equation.
42 views

### Simultaneous solving equations [migrated]

It is a theorem in geometry that any three non-collinear points determine a circle. Given the three points (x1,y1),(x2,y2),(x3,y3) find a,b,and R for the circle (x-a)^2 +(y - b)^2 =R that passes ...
74 views

### Given s family of quadratics, plot them and show the minima of each curve

family function x^2 - 2*(m - 2)*x + m - 2 a) Create a Manipulate to explore the behaviour of the functions of this family for m ∈ [-10,10]. Mark the minimum value ...
65 views

### Table formatting problem [closed]

How can I solve parts c and d of the following problem?
80 views

### How can I fix my Simpson's rule integration code?

I was tasked with writing a function on Mathematica similar to NIntegrate, but that uses the Composite Simpson's Rule as its method for doing the calculation. The ...
91 views

### Solving particular case of Bernoulli Equation [closed]

I have a Bernoulli equation (attached below). It needs to be converted to ODE. I tried to solve it by a separation of variables, but I could not. Can anyone help me with the code for this, please?
44 views

### Solving multiple systems using Cholesky factorization to find Inverse of a matrix

I have a matrix: A = {{1, 1, 1, 1}, {1, 5, 5, 5}, {1, 5, 14, 14}, {1, 5, 14, 30}} I wrote code in Mathematica (mostly copying what professor gave us, I'm new to ...
40 views

### Determining the acceleration of a particle [closed]

A particle travels along a straight line with a velocity of $V(t) = 3 e^{t/2}\,x\,\sin⁡(2\,t)$ m/s. Determine the acceleration of the particle at t = 2 seconds. V=3e^(0.5 t) x sin(2t) A=1.5^(0.5t) x ...
63 views

### How to use StreamPlot to plot the typical solution in this directional field?

How can I plot the typical solution in this directional field using StreamPlot? ...
55 views

76 views

### How do I transform a 1st order logic formula into Skolem normal form? [closed]

I have a predicate calculus (first-order logic) problem. I have the formula $\qquad \forall x[\neg P(x) \land \forall y \neg Q(x,y) \rightarrow \forall x \forall y R(x,y,z)]$ I want to express ...
61 views

### Numerical solution of a PDE having boundary conditions

I am solving a PDE using Mathematica. and I would like to know how to implement the condition that the three-variable function u[t, x, z] ...
70 views

### How can I animate two beads each sliding on its own frictionless rail? [closed]

I am told to animate two beads sliding on rails in Mathematica, but I am very confused on how to get a mass on a rail and it move up and down the rail.
452 views

### Dot products and For-loops

I'm taking a class where we're working with matrix applications inside of Mathematica. In this case, we're analyzing senatorial votes that have been numericized so that a value of 1 corresponds to "...
2k views

### How to solve Laplace transform question for a system in Mathematica

I know how to use the LaplaceTransform function but am struggling to do this with a system with two ODEs. This is my question: Use Mathematica and the Laplace ...
90 views

### Write a function areaPerimeter[f,g,x] [closed]

Write a function areaPerimeter[f,g,x] which takes as input two polynomials f and g depending on the variable x, and does the following. If the curves y=f(x) and y=g(x) intersect at exactly two ...
112 views

### Derive a polygon from the midpoints of the sides of a given polygon [closed]

Write a function that creates a new figure (a new broken line) out of a given broken line. It would take as parameter a list of (max) 20 points representing the closed broken line. The output must be ...
247 views

### Euler's method initial value problem — how should I plot the solution?

We are given the following initial value problem: $\qquad y' = t\,e^{3\,t} -2\,y, \quad 0 \le t \le 1, \quad y(0)=0$ Use Euler`s method to approximate the solution to this initial value problem. In ...
262 views

### How do I plot a Laplace transform?

I have been looking everywhere for help on this issue and cannot find a solution that works. Here is the assignment. I have figured out how to find the Laplace transform, but I do not know how to ...
86 views

### Drawing an approximate visualization of an inequality using ArrayPlot

I need to write a function that returns graphic visualization of the two-dimensional figure described with equation: $\qquad P = \{(x, y) \in R^2: 4+2x < x^2+y^2<9\}$ I have to use the n x n ...
Plot the probability density function $\qquad w(x)=(1/(1+x^2))(1/x^{0.5})$ for $(0 < x < 1)$ Make up the subroutine flowchart to get the random numbers $x$, using the modified ...