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Unit 04: Introduction to Analytic Geometry @fsc-part2-ptb:important-questions
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the list of important questions. <list-group> * Find the area between $x-axis$ and the curve $y=4x-x^2$ --- // BSIC Gujranwala (2016)// * Find $h$ if $A(-1,h)$, $B(3,2)$, $C(7,3)$ are collinear --- // BSIC Gujranwala (2016)// * Find the point three fifth of the way along the line s... to $B(5,3)$ --- // BSIC Gujranwala (2016)// * Find equation of straight line if its slop is $2$ and
Unit 02: Differentiation @fsc-part2-ptb:important-questions
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SIC Gujranwala (2016)// * If $x=at^2$, $y=2at$. Find $\frac{dy}{dx}$ --- // BSIC Gujranwala (2016)// ... ujranwala (2016)// * If $y=x^2ln(\frac{1}{x})$. Find $\frac{dy}{dx}$. --- // BSIC Gujranwala (2016)// * If $x=sin\theta$, $y=sin m\theta$. Find $\frac{dy}{dx}$. --- // BSIC Gujranwala (2016)//... / BSIC Gujranwala (2016)// * Using differential find $\frac{dy}{dx}$, When $x^2+2y^2=16$ --- // BSIC G
Unit 06: Conic section @fsc-part2-ptb:important-questions
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the list of important questions. <list-group> * Find the centre and radius of the circle given by the ... x+12y-25=0$ --- // BSIC Gujranwala (2016)// * Find equation of tangent to the circle $x^2+y^2=2$ par... e $x-2y+1=0$ --- // BSIC Gujranwala (2016)// * Find focus and directrix of parabola $x^2=-16y$ --- // BSIC Gujranwala (2016)// * Find equation of ellipse with vertices $(0,\pm5)$, ecc
Unit 07: Vectors @fsc-part2-ptb:important-questions
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he list of important questions. <list-group> * Find position vector of a point which divide the join ... ratio $4:3$. --- // BSIC Gujranwala (2016)// * Find $a$ and $b$ so that the vectors $3\underline i-\u... re parallel. --- // BSIC Gujranwala (2016)// * Find $\cos$ of angle between $u.v$ if $u=3\underline i... nderline k$. --- // BSIC Gujranwala (2016)// * Find the unit vector perpendicular to the plane of vec
Unit 03: Integration @fsc-part2-ptb:important-questions
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rt{x}+1)}dx$ --- // BSIC Gujranwala (2016)// * Find $\int \frac{1}{1+ cosx}dx$ --- // BSIC Gujranwal... {x \ln x}dx$ --- // BSIC Gujranwala (2016)// * Find $\int x \ln x dx$ --- // BSIC Gujranwala (2016)/... }}{1+x^2}dx$ --- // BSIC Gujranwala (2015)// * Find $\int x e^xdx$ --- // BSIC Gujranwala (2015)// * Find area between $x-axis$ and the curve $y=\sin 2x$ f
Unit 05: Linear Inequalities and Linear Programming @fsc-part2-ptb:important-questions
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\leq 36$\\ $2x+y\leq 10$\\ $x\geq0, y\geq0$ and find the corner points. --- // FBSIC (2017)// * Maxi... 4$\\ $x\geq0, y\geq 0$ .--- // FBSIC (2016)// * Find the area bounded $\cos x$ function from $x=-\frac... of following system of linear inequalities, also find corner points $2x-3y\leq6\\ 2x+3y\leq 12\\ x\geq... the following system of linear inequalities, also find corner points\\ $2x+3y \leq 18$\\ $2x+y\leq 10$\\
Unit 01: Functions and Limits @fsc-part2-ptb:important-questions
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Rawalpendi(2017)// * Evaluate $f(x)=x^2-x$ then find $f(x-1)$ --- // BSIC Gujrawala (2017)// * $f(x)... }={log_e}^a$ --- // BSIC Gujranwala (2015)// * Find $f(x)$, if $f(x)=2+\sqrt{x-1}$. Also write domain... --- // BSIC Sargodha(2016)// * $f(x)=(-x+9)^3$, find $f^{-1}(x)$ and verify $f(f^{-1}(x))=f^{-1}(f(x))