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MFDS Assignment 2#

Tasks#

Q1) Write a code to minimize \(f(x, y) = (x āˆ’ y)^2 + 1 āˆ’ x\) using the Gradient descent method. Take a suitable initial value and do the iterations till the tolerance is \(0.01\). Please attach the code along with the final output.

Q2) Find the least natural number that divides \(11^{n+1} + 12^{2nāˆ’1}\) by examining the values of this expression for small values of \(n \in N\) , and prove the formula you conjectured.

My Submission#

  • The actual Assignment can be found here
  • The code along with the metrics collected can be found here

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