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Unit 02: Differentiation

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// * If $x=\sin \theta, \gamma=\sin (m\theta)$, then prove that $(1-x^2)y_2-xy_1+m^2y+0$--- // BSIC Ra... --- // BSIC Rawalpindi(2017)// * If $f(x)=x^2$, then find $f'(x)$ by defination. --- // BSIC Sargodha(... If $x=\theta +\frac{1}{\theta}$ and $y=\theta +1$ then find $\frac{dy}{dx}$. --- // BSIC Sargodha(2016)/... --- // BSIC Sargodha(2016)// * If $y=e^{x^2+1}$ then find $\frac{dy}{dx}$. --- // BSIC Sargodha(2016)/

Unit 07: Vectors

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)// * If \underlinea+\underlineb+\underlinec=0 then prove that $\underline a \times \underline b=\und... e w=-6\underline i-9 \underline j-3\underline k$, then find $|\underline u-\underline v-\underline w|$.-... nd $\cos \gamma$ are direction cosineof a vector, then prove $\cos ^2\alpha+\cos ^2\beta+\cos ^2\gamma=1

Unit 01: Functions and Limits

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BSIC Rawalpendi(2017)// * Evaluate $f(x)=x^2-x$ then find $f(x-1)$ --- // BSIC Gujrawala (2017)// *