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- Definitions: FSc Part 2 (Mathematics): PTB
- If $c \in D_f$ and $f'(c)=0$ or $f'(c)$ does not exists then $c$ is called critical value or point. ... lled stationary point of $f$. * ** Relative maxima:** $f$ has relative maxima at $c$ if $f''(c)<0$. * ** Relative minima:** $f$ has relative manim... point is called turning point if it is either a maximum point or a minimum point. * ** Point of in
- Unit 03: Integration @fsc-part2-ptb:important-questions
- SIC Gujranwala (2015)// * Find area between $x-axis$ and the curve $y=\sin 2x$ from $x=0$ to $x=\fra... argodha(2016)// * Find the area between the $x-axis$ and the curve $y=x^2+1$, from $x=1$, to $x=2$--
- Unit 05: Linear Inequalities and Linear Programming @fsc-part2-ptb:important-questions
- by shading. --- // BSIC Gujranwala (2015)// * Maximize $z=x+3y$\\ Subject to \\ $2x+5y\leq30$\\ $5x+... nd the corner points. --- // FBSIC (2017)// * Maximize $f(x)=2x+5y$ subject to the constraints \\ $-
- Definitions: Mathematics 12: PTB by Muzzammil Subhan
- ming:** Mathematical techniques in which we get maximize or minimize value of variables of linear func
- Old Question Papers/Model Papers HSSC-II (FSc-II): FBISE
- "Textbook of Calculus and Analytic Geometry Class XII is published by Punjab Textbook Board (PTB) Laho
- Unit 02: Differentiation @fsc-part2-ptb:important-questions
- ujranwala (2015)// * Use differentials to approximate the value of $(31)^{\frac{1}{5}}$ --- // BSIC
- Unit 04: Introduction to Analytic Geometry @fsc-part2-ptb:important-questions
- tions. <list-group> * Find the area between $x-axis$ and the curve $y=4x-x^2$ --- // BSIC Gujranwala