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2cosx - sinx = Rcos(x+a) = Rcos(x)cos(a)-Rsin(x)sin(a)

Implying

2cos(x)=Rcos(x)cos(a)

Rcosa = 2

Similarly: Rsin(a) = 1

Therefore tan(a) = 1/2

Meaning a=26.57 Degr...

Depending on the student level I would accept a simple answer such as: (cannot format code) or expect a more complex answer with optimization such as sieve of Eratosthenes

WTO (originally the GATT), is an organisation, set up during the Bretton Woods Conference of August 1944, that attempts to liberalise world trade and prevent a slide to protectionism that was seen during ...

To find velocity you differentiate displacement with respect to time

Therefore ds/dt = v = (3x2)t²-(12x2)t²+7

Implying v = 6t²-24t+7

630 = 5 x 126 126 = 2 x 63 63 = 7 x 9 9 = 3 x 3 so 630 = 2 x 3² x 5 x 7