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Three forces of magnitude 50N, PN, QN all act in a horizontal plane in equilibrium. The diagram shows the forces. DIAGRAM: QN = EAST, 50 = SOUTH, PN = 120 DEGREES ANTICLOCKWISE FROM QN a) Find P. b) Find Q.

a) Resolving vertically: Pcos(120-90)=50. Find P from this equation.b) Resolving horizontally: Psin(120-90)=Q. Find Q from this solution.
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Answered by Chloe J. Maths tutor
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Integrate x^2 + 1/ x^3 +3x +2 using limits of 1 and 0

By noticing the the numerator (x^2 + 1) is similar to the derivative of the denominator (x^3 +3x +2) you can integrate the function by using natural logarithms, to form the logarithm ln( x^3 +3x +2). However...
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Answered by Aaron T. Maths tutor
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Why is (x^3 - 7x^2 +13x - 6) divisible with (x-2)?

If we look at the general form a polynom P(X) divides Q(x) if and only if Q(x) = P(x) * T(x).Assume P(x) = a n x n + a n-1 x n-1 + ... + a 1 x + a 0 . How do the roots of P(x) relate to the roots of Q(x), wh...
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Answered by Vlad-Mihai E. Maths tutor
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Complete the square for x^2 + x - 6.

First, let us separate the constant term and complete the square for (x^2 + 1x). x^2 + x - 6 = (x^2 + x) - 6 Now, let us halve the coefficient of x. 0.5 of +1 = +0.5 Write (x )^2 with half the coefficient of...
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Answered by Larra T. Maths tutor
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Factorise fully the following: x^2 + 7x + 10.

Think S ir P aul M cCartney. ( SPM ) The S symbolises the square in the first section, the P means think of two numbers which plus to make 7 and the M means think of two numbers which multiply to make 10. If...
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Answered by Keighley H. Maths tutor
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