Power proof

Related BrainMass Solutions

• Proof the equation in logarithm

  Observe that the power is log ax Another formula that we are going to use in the proof is or . Coming to the given proof, we write the Right hand side in the following way.

• Differentiation Proof : Use the fact that lul = the square root of u^2 to prove that d/dx[lul] = u'(u/lul).

  Apply the power rule (and later the chain rule), we get Use power rule one more time, Now, we know that We can substitute equation (2) into equation (1) The proof is completed. A differentiation proof is provided.

• Power Series Proof

  Thus sum(anX^n) is a unit and its inverse is b0*(1+Y+Y^2+... ) A power series proof is provided.

• Question about One-to-one functions

  2560 Question about One-to-one functions Define F: power P({a, b, c}) -> Z as follows: for all A exist in power P({a, b, c}), F(A) = the number of elements in A. a). Is F one-to-one? Please give proof or give a counterexample.

• Proof of the number of nodes in a binomial tree

  In this solution I provide an inductive proof that proves that the number of nodes in a binomial tree of height k is 2 to the power of k.

• Partially ordered sets

  If A is any set, prove that the power set P(A) is a partially ordered set under the relation "is a subset of". see attachment This is a proof regarding partially ordered sets.

• Group Theory proof

  This shows how to work with a proof regarding groups of a given order.

• Discussing Transcendent Power

  Transcendent power is discussed.

• Induction Mathematical Proof and Odd and Even Powers

  28445 Induction Mathematical Proof and Odd and Even Powers Show that any positive integral power of (√2 - 1) can be written in the form √N - √(N-1) , where N is a positive integer.

• Modular proofs

  Let =2 +1 (2 (Power 2(power n))) Plus 1. Prove that P is a prime Dividing , then the smallest m such that P (2 -1) is m = 2 (hint use the Division Algorithm and Binomial Theorem) Please see attached. Please see the attachment. a.