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4. The curve C has equation 4x^2 – y3 – 4xy + 2y = 0. P has coordinates (–2, 4) lies on C. (a) Find the exact value of d d y x at the point P. (6) The normal to C at P meets the y-axis at the point A. (b) Find the y coordinate of A

Differentiate Implicitly with respect to x- ( do it term by term, terms with only x's diff normally, terms containing a Y should be differentiated following the standard pattern but then multiplied by dy/...

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Answered by Hamish P. Maths tutor
5603 Views

Express x^2+8x+15 in the form (x+a)^2-b

Completing the Square is required to solve this equation. First, identify A,B, and C of the quadratic equation: A=1, B=8, C=15. Halve B to obtain a: B/2 = 8/2 = 4 so a

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Answered by Mahfuza P. Maths tutor
29033 Views

Solve the quadratic function x^2 + 3x + 2

(x+2)(x+1)

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Answered by Prashant R. Maths tutor
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Solve the simultaneous equations: 3x-y=13, 2x+y=12

To solve these simultaneous equations we first need to eliminate one variable (the x or the y). For this we will need the coefficients (numbers in front of the variables) to be equal or opposite on one va...

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Answered by Ellie D. Maths tutor
4860 Views

A block of mass 5 kg is being pushed over level ground by rod at 60 degrees to horizontal with force 40 N with acc. 1.5 what is the frictional force of the surface and draw a diagram with the forces acting on the block

Block has normal force, weight, friction and the force from the rod acting on itResultant force = 5*1.5=7.5horizontal component of force from rod = 207.5= 20 - FF= 12.5

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Answered by Henry B. Maths tutor
2841 Views

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