# Need Help Solving Problems in Mathematica

• TitoSmooth
In summary, the conversation discusses how to graph two functions, find their crossing points, and calculate terminal velocity and 98% of it using Mathematica. The conversation also mentions checking if a function is continuous and finding discontinuities. The individual is struggling with using Mathematica and seeks a help guide or tutorial for better understanding.
TitoSmooth
How do I graph f(x)=x^5-x & g(x)=2 on the same x-y system and zoom into find the crossing points of these 2 functions?

how do I find the terminal velocity(t->infinity) and find 98% of its terminal velocity?

1st step. take the derivative v=24.61(1-(0.27300^t)

then I graph it. but how to find the terminal velocity(t-> infinity) and 98% of it?

How do I check if f(x)=Sqrt of 2+tan^2x.

If it is continuous or not, then find x values corresponding to discontinuities?

This is using Mathematica btw. Thanks

also. is there a help guide that can help me search for commands or a tutorial in layman terms? Mathematica is killing me because I am not computer savvy.

Thanks

Plot[{f[x] == x^(5) - x, g[x] == 2}, {x, -100, 100}] i got this for the first question but my graph is blank.

You don't need to write f[x] and g[x] in the plot.

Plot[{x^(5) - x, 2}, {x, -100, 100}] will work.

Code:
f[x_] := x^5 - x;
g[x_] := 2;
Plot[{f[x], g[x]}, {x, -100, 100}]

then

Code:
Plot[{f[x], g[x]}, {x, -2, 2}]

etc.

Remember that Mathematica is FANATIC about correct capitalization and use of {} versus [] versus () and = versus := versus == and there is even an === and all those are completely different. Make ANY tiny mistake in anyone of those and you will get incorrect results or error messages you don't know what to do with or even nothing at all.

For your terminal velocity question, are you allowed to use the Limit function in Mathematica? If so then look that up in the help system. If not then perhaps repeatedly graphing things over different ranges and trying to estimate the value seems like the only use of Mathematica i can imagine at the moment.

Mathematica tutorial

or

Mathematica square root

or similar things like that and see if the top few results give you the hint you need.

## 1. What is Mathematica and what is it used for?

Mathematica is a software program used for mathematical and scientific calculations, data analysis, and visualization. It is commonly used by scientists, engineers, and mathematicians to solve complex problems and explore concepts in various fields.

## 2. How can Mathematica help me solve problems?

Mathematica has a wide range of built-in functions and algorithms that can be used to solve various mathematical and scientific problems. It also has a user-friendly interface and powerful visualization tools that make it easier to analyze and understand complex data.

## 3. I am new to Mathematica, where can I find resources to help me learn how to use it?

There are many online resources available for learning Mathematica, including official tutorials and documentation on the Wolfram website, as well as online courses, forums, and user groups. You can also find helpful tips and tricks by exploring the program and experimenting with different functions.

## 4. Can Mathematica solve all types of mathematical problems?

While Mathematica is a powerful tool for solving many types of mathematical problems, it may not be suitable for all types of calculations. Some problems may require a different software program or a specialized approach. It is important to understand the capabilities and limitations of Mathematica before attempting to use it for a specific problem.

## 5. Is it possible to customize and extend the functionality of Mathematica?

Yes, Mathematica has a programming language called Wolfram Language that allows users to create and modify functions, algorithms, and visualizations. This allows for customization and extension of the program's capabilities to suit specific needs and applications.

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