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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...
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Answered by Eleanor B. • Maths tutor
7512 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...
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Answered by Zachary G. • Maths tutor
10092 Views

Express the equation x^2+6x-12 in the form (x+p)^2+q

To work out the value of p, half the x coefficient EG:6/2=3. Then work out the square EG: (x+3)^2=x^2+6x+9. To work out the value for q, place the constant of the original equation equal to the constant of t...
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Answered by Isabel S. • Maths tutor
7642 Views

two balls of similar size masses m and 2m are moving at speeds u and 2u along a frictionless plane, they collide head on and are reflected, assuming that the coefficient of restitution of this collision is 1, what the speeds are afterwards in u

ball A has mass m and velocity u. ball B has mass 2 m and velocity 2uby conservation of momentum:mu - 4mu = mv + 2mx (1)where v is the velocity of ball A and x is the velocity of ball B after collision.by co...
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Answered by William A. • Maths tutor
3985 Views

An ordinary, fair sided dice is rolled 480 times. How many times is the number 3 expected?

An ordinary dice has six sides. We have an equal chance to roll on any of these six sides. This gives us the probability of rolling a 3 (or any other number) as 1/6.Each roll is independent i.e the result of...
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Answered by Louis P. • Maths tutor
7034 Views