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(a) Asks to differentiate an equation C: 4x² - y³ - 4xy + 2^y = 0Then use the fact that point P (-2,4), lies on C to find an expression for dy/dx Differential of form 8x - ...

i) 3Z-4WFor this question it is just the matter of substituting the complex numbers of Z and W into the equation. So, 3(4+3i)-4(6-i). Then multiply out the brackets to get 12+9i-24+4i. Finally simply to g...

As the particle is at rest, the net force acting on the particle must be equal to zero, i.e. Fres = 0Therefore, (15i + j) + (5qi - pj) + (-3pi - qj) = 0Collating 'i' terms: 15 + 5q - 3p = 0 (Equation 1...

Use product rule. Set u=x^3 and v=e^2x. Differentiate u and v. Then dy/dx = uv'+vu' = (3x^2)*(e^(2x))+(2x^3)(e^(2x)). This problem is best explained written on a whiteboard (it's difficult to give an expl...

Uniform rod AB of weight 5g (g being 9.8) and length 4 metres rested on a pivot C which is 1.5m from B. Calculate the moments about the point C.sketch diagram of information provided weight is ac...