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America has won the 'War on Terror'. Discuss

If we determine the level of success for a policy in the Middle East to be based on US foreign policy assumptions, then the result; the US has lost the ‘War on Terror’. If we consider what makes a success...

Answered by Georgina G. • Politics tutor

1033 Views

Find all real solutions of (x^2 +4x +3)^(x^2 -6x+8) = 1

Rewrite as a^b = 1, where a = x^2+4x+3 and b = x^2-6x+8List the cases for which a^b = 1Case 1: a = 1:So x^2+4x+3=1 => x^2+4x+2=0 => x=-2 +/- sqrt(2)Case 2: b=0, a ≠ 0:b=(x-4)(x-2) => x = 2, x=4Ch...

Answered by Nicholas M. • PAT tutor

1119 Views

A function is defined piecewise f(x) = ( e^x for x<0, e^(-x) + 2x for x>= 0). Sketch f(x) and its first, second and third derivatives

f(x) = ( e^x for x<0, e^(-x) + 2x for x>= 0)f'(x) = ( e^x for x<0, -e^(-x) + 2 for x>= 0)f''(x) = ( e^x for x<0, e^(-x) for x>= 0)f'''(x) = ( e^x for x<0, -e^(-x) for x>= 0)(Will s...

Answered by Nicholas M. • PAT tutor

1202 Views

A business is planning to invest in a new machine which will cost £220 000. The machine will lead to an annual increase in revenue of £75 000. It will also lead to extra labour costs of £28 000 per annum but will reduce the firm’s energy costs by £4 000

Annual return is £75 000 – £28 000 + £4 000 = £51 000 Return on investment = annual return x 100 = £51 000 x 100 = initial cost £220 000 Answer = 23.2% or 23%

Answered by Dylan S. • Business Studies tutor

2729 Views

Given two strings s1 and s2 return the location of each permutation of the s1 string within the s2 string.

Solution: Iterate through s2 and select blocks of characters of length equal to that of s1 (for simplicity let's call this block string ref). Now, check if ref is a per...

Answered by Vlad H. • Computing tutor

973 Views