MTH102 Solutions

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Find \(\lim_{x\rightarrow 1} (2x-3)\)

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Given that\(x=2cos{\theta }\)and\(y=2sin{\theta }\) evaluate \(x^2+y^2\)

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Evaluate the integral \(\int_{2}^{4} (x^{2}-1) dx\)

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Find the gradient of the curve with equation \(2x^2-4xy+3y^2 = 3\) at the point (2,1).

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If \(y=x^3-x^2-x+6\), find the values of \( x\) at the turning points.

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What is the derivative of \(\sqrt {x}\)

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The distance s in meters covered by a particle in \(t\) seconds is \(s=\frac{3}{2} t^2-3t\). Find its acceleration.

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Given that \( y=x^{-m}\) what is \(\frac{dy}{dx}\)?

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Let \(f \) and \(g\) be defined by \(f:x\rightarrow {3x-1})\ and\(g:x\rightarrow {2-5x}\). Find\(fog{(2)}\)

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Evaluate \(int _{4}^{9} \frac{dx}{\sqrt{x}}\)

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MTH102 Tma Solutions

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