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Unit 03: Integration @fsc-part2-ptb:important-questions
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* Evaluate $\int x \sqrt{x^2-1}dx$ --- // BSIC Sargodha(2016)// * Evaluate $\int (2x+3)^\frac{1}{2}dx$ --- // BSIC Sargodha(2016)// * Evaluate $\int (\ln x)\frac{1}{x}dx$ --- // BSIC Sargodha(2016)// * Evaluate $\int \frac{\cot \sqrt{x}}{\sqrt{x}}dx$ --- // BSIC Sargodha(2016)// * Evaluate $\int \frac{x^2}{4+x^2}dx$
Unit 02: Differentiation @fsc-part2-ptb:important-questions
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^2$, then find $f'(x)$ by defination. --- // BSIC Sargodha(2016)// * Differentiate $\frac{a+x}{a-x}$ w.r.t.$x$.--- // BSIC Sargodha(2016)// * If $x=\theta +\frac{1}{\theta}$ and $... \theta +1$ then find $\frac{dy}{dx}$. --- // BSIC Sargodha(2016)// * find $\frac{dy}{dx}$ if $y=x \cos y$ --- // BSIC Sargodha(2016)// * If $y=e^{x^2+1}$ then find $\frac{dy}
Unit 06: Conic section @fsc-part2-ptb:important-questions
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e represented by $20x^2+17xy-24y^2=0$ --- // BSIC Sargodha(2016)// * Find the centre and radius of the circle $4x^2+4y^2-8x+12y-25=0$--- // BSIC Sargodha(2016)// * Find the length of the tangent from t... to the circle $5x^2+5y^2+14x+12y-10=0$--- // BSIC Sargodha(2016)// * Find the coordinates of foci and vertices of ellipse $25x^2+9y^2=225$--- // BSIC Sargodha(2016)// * Find the foci and eccentricity of the
Unit 04: Introduction to Analytic Geometry @fsc-part2-ptb:important-questions
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on $5x-12y+39=0$ into intercept form. --- // BSIC Sargodha(2016)// * By means of slope, show that the poin... (c,a+b)$, $(2c+a,2a)$ are col-linear. --- // BSIC Sargodha(2016)// * Check whether the given point lies ab... ow the given line, $P(-7,6);4x+3y-9=0$--- // BSIC Sargodha(2016)// * Find the angle from the line with slo... to the line with slope $\frac{5}{2}$ --- // BSIC Sargodha(2016)// * Find $h$ such that the points $A(h,1)
Unit 07: Vectors @fsc-part2-ptb:important-questions
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\sin \beta$. --- // BSIC Gujranwala (2015), BSIC Sargodha(2017)// * Prove that $a\times (b+c)+b\times(c+a... derline u-\underline v-\underline w|$.--- // BSIC Sargodha(2016 )// * If $\cos \alpha$, $\cos \beta$ and $... ^2\alpha+\cos ^2\beta+\cos ^2\gamma=1$--- // BSIC Sargodha(2016 )// * Fina a unit vector perpendicular to ... underline b=\underline i-\underline j$--- // BSIC Sargodha(2016 )// * Find the volume of the parallelepipe
Unit 01: Functions and Limits @fsc-part2-ptb:important-questions
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\to 3}\frac{x-3}{\sqrt{x}-\sqrt{3}}$ --- // BSIC Sargodha(2016)// * Determined the function is even or odd if $f(x)=x^3+x$.--- // BSIC Sargodha(2016)// * Define continuity of function at a point. --- // BSIC Sargodha(2016)// * $f(x)=(-x+9)^3$, find $f^{-1}(x)$ and... verify $f(f^{-1}(x))=f^{-1}(f(x))=x$ --- // BSIC Sargodha(2016)// * Express the volume $V$ of a cube as a
Unit 05: Linear Inequalities and Linear Programming @fsc-part2-ptb:important-questions
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of following inequality $2x-3y\leq6$ --- // BSIC Sargodha(2016)// * Graph the feasible region of followin... eq6\\ 2x+3y\leq 12\\ x\geq0, y\geq 0$--- // BSIC Sargodha(2016)// * Define feasible region and feasible solution.--- // BSIC Sargodha(2017)// * Define optimal solution.--- // BSIC Sargodha(2017)// * Graph the feasible region of the follo