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If you add 4+5+7 = 16, you can consider that Frank gets 4/16 of the sweets, Mary gets 5/16 and Seth gets 7/16. This because for every 4 sweets Frank gets, Mary gets 5 and Seth gets 7.

If there are ...

(Much easier to explain in conversation and with drawings): But, 

An application of the quotient rule, stating that for f(x)=a(x)/b(x), f'(x) = a'(x)b(x) - a(x)b'(x) all over [b(x))]^2 Here, a(x) =...

so step 1) remove the denominator by multiplying (4-a) by p. Therefore obtaining p(4-a) = 3a+5. step 2) multiply out to get 4p-ap = 3a+5 step 3) have all the a's on one side, and non a's on other side. th...

Use the product rule: Let   u = cos3x ,     v = cosec4x Then du/dx = -3sin3x , dv/dx = -4cosec4xcot4x  (standard result, given in the formula booklet) Hence dy/dx = -4cosec4xcot4xcos3x - 3sin3xcosec4x . (...

• Think about which process we need to determine the turning point? - Differentiation 

• Think about the form of the given function. - Product of two functions, so use Product Rule...