Tantely R.

Math nerd

Tutor Satisfaction Guarantee

Set Theory

TutorMe

Question:

What is the cardinality of the set of functions from a given set $S$ of cardinality $n$ to the set $\{0, 1\}$?

Tantely R.

Answer:

Let $f$ be a function from $S$ to $\{0, 1\}$. We know that $f$ is completely determined by the images of each element of $S$. And for each element $x$ of $S$, there are 2 choices for $f(x)$, namely 0 and 1. Therefore there are $2^{n}$ functions.

Calculus

TutorMe

Question:

Find a function such that the slope of the tangent of its point at any given point in the domain is equal to the value of the function at that point.

Tantely R.

Answer:

We are to solve the differential equation $( \frac{dy}{dt} = y$), which family of solutions is given by $( \{e^t + C \colon C\in \mathbb{R}\}.$)

Algebra

TutorMe

Question:

Solve the equation $( x^{4}+ y^{4} = 1)$.

Tantely R.

Answer:

By the Fermat-Wiles theorem, the solutions of this equation are the trivial ones: $( (0, 1), (0, -1), (1, 0), (-1, 0))$

Send a message explaining your

needs and Tantely will reply soon.

needs and Tantely will reply soon.

Contact Tantely

Ready now? Request a lesson.

Start Session

FAQs

What is a lesson?

A lesson is virtual lesson space on our platform where you and a tutor can communicate.
You'll have the option to communicate using video/audio as well as text chat.
You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.

How do I begin a lesson?

If the tutor is currently online, you can click the "Start Session" button above.
If they are offline, you can always send them a message to schedule a lesson.

Who are TutorMe tutors?

Many of our tutors are current college students or recent graduates of top-tier universities
like MIT, Harvard and USC.
TutorMe has thousands of top-quality tutors available to work with you.