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Let us procede by induction:

First case: n=1. Then LHS (left hand side) = 1 and RHS (right hand side) = 1(1+1)/2 = 1. Therefore, we see that the statement is true for n=1.

Now, we carry out ...

Under a unitary constitution, such as the United Kingdom's, decision-making power is centralised in one authority, such as the Westminster parliament. Under a federal constitution, such as the United Stat...

x = ln (sec (2y))

The chain rule states that d/dy f (g (y)) = f'(g(y)). g'(y)

Here g(y) = sec(2y) so g'(y) = 2.sec(2y).tan(2y)

And f(y) = ln (y) so f'(y) = 1 / y

Thus dx/dy = (...

0001 1111 AND 1010 1010 = 0000 1010

0001 1111 OR 1010 1010 = 1011 1111

0001 1111 XOR 1010 1010 = 1011 0101

print("Enter two numbers. I will tell the highest of the two.") num1 = input("Number 1: ") num2 = input("Number 2: ") if (num1 == num 2) print ("They are the same"....