# Tutor profile: Aman V.

## Questions

### Subject: Pre-Calculus

How can you write Cos2θ in 3 different ways?

a)Cos^2θ - Sin^2θ b) 2cos^2θ - 1 c) 1 - 2SIn^2θ

### Subject: Computer Networking

8. What is the difference between an interior router protocol and an exterior router protocol?

a. Interior router protocol only uses one routing domain to handle the routing when it comes to autonomous systems within a network. As compared to exterior router protocol, if you want to access something outside your network, like internet. For these cases, you use exterior router protocol with the help of an autonomous system.

### Subject: Calculus

Find dy/dx for the following: 1) x^2 + y^2 = 50

First we will start by differentiation the equation with respect to x a) x^2 -------> will give us --------> 2x --------> differentiating x now -------> which gives us 1 -------> 2x(1) --------> 2x (differentiation of x^2) b) y^2 --------> will give us --------> 2.y -------> but we need to differentiate y as well with respect to x which gives us ----------> dy/dx ------> 2y.(dy/dx) [differentiation of 2y] c) Differentiation of any constant is 0 Now, we will solve the equation -----> 2x + 2y.(dy/dx) = 0 -----> 2y(dy/dx) = -2x -----> dy/dx = -x/y (Dividing both sides by 2y) -----> -x/y (Final Answer)

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