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Use BIDMAS to answer 2 + 7 x 10

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 operatio...
EB
Answered by Eleanor B. • Maths tutor
7230 Views

A bullet is fired horizontally from a gun at a height of 1.5m at 280m/s. Calculate the time taken for it to hit the ground. A second bullet is fired from an adjacent gun at 370m/s. Calculate the distance it travel before the first bullet hits the ground.

Time for first bullet to hit ground: s = -1.5m, u = 0ms -1 , v = ?, a = -9.81ms -2 , t = ?.s = ut + 1/2(at 2 )-1.5 = 0 + 1/2(-9.81 t 2 )9.81t 2 = 1.5 2 = 3t = sqrt(3/9.81) = 0.55s (2s.f.)Distance travelled b...
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Answered by Ayush N. • Physics tutor
4307 Views

Differentiate x = sinhy with respect to x

x = sinhy=> dx/dy = coshycosh 2 y - sinh 2 y = 1=> sqrt(1 + sinh 2 y) = coshythus dx/dy = sqrt(1 + sinh 2 y)and dy/dx = 1/sqrt(1 + sinh 2 y)hence dy/dx = 1/sqrt(1+x 2 )
AN
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Given that α= 1+3i is a root of the equation z^3 - pz^2 + 18z - q = 0 where p and q are real, find the other roots, then p and q.

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: Σαβ ...
ZG
4960 Views

How do you integrate sin^2(3x)cos^3(3x) dx?

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 the...
ZG
Answered by Zachary G. • Maths tutor
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