Enable contrast version

# Tutor profile: Ihar D.

Inactive
Ihar D.
First Class Integrated Master's Mathematics graduate from the University of Nottingham
Tutor Satisfaction Guarantee

## Questions

### Subject:Geometry

TutorMe
Question:

ABC is a triangle where AN is perpendicular to CB and BM perpendicular to AC. The length of BC is 10, that of AC is 12 and that of AN is 8. Find the length of BM.

Inactive
Ihar D.

The area A of the given triangle may be calculated using the two altitutdes as follows A = (1/2)(AN)(BC) or A = (1/2)(BM)(AC) Hence (1/2)(AN)(BC) = (1/2)(BM)(AC) Multiply both sides by 2 and substitute known lengths 8 * 10 = MB * 12 Multiply both sides by 2 and substitute known lengths BM = 80 / 12 = 6.7 (approximated to one decimal place)

### Subject:Calculus

TutorMe
Question:

Use the Intermediate Value Theorem to show that the function f(x) = x^3 + x^2 + x +1 takes on the value 12345 at least once in its domain.

Inactive
Ihar D.

Since f is a polynomial, it is continuous over all real numbers. f(0) = 0 < 12345 and f(12345) = 123453^3 + 123452^2 + 12345 + 1 > 12345 (since all terms are positive). So by the IVT, f(c) = 12345 for some c between 0 and 12345

### Subject:Differential Equations

TutorMe
Question:

Example 1: Solve and find a general solution to the differential equation. 2 y ' = sin(2x)

Inactive
Ihar D.

Solution to Example 1: Write the differential equation of the form y ' = f(x). y ' = (1/2) sin(2x) Integrate both sides ò y ' dx = ò (1/2) sin(2x) dx Let u = 2x so that du = 2 dx, the right side becomes y = ò (1/4) sin(u) du Which gives. y = (-1/4) cos(u) = (-1/4) cos (2x)

## Contact tutor

Send a message explaining your
needs and Ihar will reply soon.
Contact Ihar

Start Lesson

## 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 Lesson" 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.
BEST IN CLASS SINCE 2015
TutorMe homepage