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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/...

Answered by Hamish P. • Maths tutor

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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

Answered by Henry B. • Maths tutor

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Why do we need the constant of integration?

Consider three simple functions F(x)=2x, G(x)=2x-6, H(x)=2x + π/2. We can differentiate these functions with respect to x to get F’(x)=f(x)=2, G’(x)=g(x)=2, H’(x)=h(x)=2. Clearly the derivatives of these ...

Answered by Panoraia C. • Maths tutor

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What is the determinant of a 2 by 2 matrix?

Let A by any 2 by 2 matrix and the top left, top right, bottom left and bottom right entries be a, b, c and d respectively. The determinant for matrix A would be ad-bc.

Answered by Lin G. • Maths tutor

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