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Find the first three terms of the binomial expansion of (3 + 6x)^(1/2).

To find the binomial expansion of this expression we need to use a formula. The formula states that for expressions of (1 + x) n it can be written as: 1 + nx + (n(n-1)x 2 )/2 ... As our initial expression do...
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Answered by Brendan W. • Maths tutor
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Using implicit differentiation, write the expression "3y^2 = 4x^3 + x" in terms of "dy/dx"

To differentiate this expression with respect to "x", any terms comprising of an "x" must multiply their powers with their numerical values and subtract 1 from the power. However to diffe...
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Answered by Brendan W. • Maths tutor
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Given a quadratic equation, how do I find the coordinates of the stationary point?

Example curve: y = x 2 + 4x + 5The first step is to differentiate the equation to give us the gradient at a general point. As a quadratic equation is an example of a polynomial, the solution is as follows:dy...
DG
Answered by Daniel G. • Maths tutor
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Solve the following simultaneous equations: equation A 2y+3x=14 equation B y+2x=8

Step 1: make one term in both equations the sameHere we will multiply equation B by 2 so that there is a 2y in both equationsEquation C = 2 x equation B = 2y + 4x = 16 Step 2: Combine the equationsIf we take...
RH
Answered by Rhiannon H. • Maths tutor
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Solve the following quadratic: x^2 -5x +6=0

Step 1: factorise Find two numbers which add to make -5 and multiply to make 6--- -3 and -2(x-3)(x-2)=0 Step 2: recognise solutionsTo make the left hand side equal the right hand side, we can make one of the...
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Answered by Rhiannon H. • Maths tutor
4802 Views