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Using BIDMAS we know that we should do multiplication before addition and therefore we would get, 7 x 10 which is 70 and then 2 + 70 which is 72.This is really important to have rule about orders of opera...

Time for first bullet to hit ground: s = -1.5m, u = 0ms^-1, v = ?, a = -9.81ms^-2, t = ?.s = ut + 1/2(at²)-1.5 = 0 + 1/2(-9.81t²)9.81t²= 1.52 ...

x = sinhy=> dx/dy = coshycosh²y - sinh²y = 1=> sqrt(1 + sinh²y) = coshythus dx/dy = sqrt(1 + sinh²y)and dy/dx = 1/sqrt(1 + sinh²y)hence dy/dx =...

All coefficients of z are real, therefore one root must be the complex conjugate so β = 1-3i.It is known that Σαβ = 18 (the coefficient of z), so we can get an equation in the third root, γ, as follows: Σ...

Use the identity sin^2(y) + cos^2(y) = 1 to get the expression sin^2(3x) (1-sin^2(3x)) cos(3x) dx.Use the substitution u= sin(3x) by dividing the expression by the derivative, u’= 3cos(3x).The expression ...