Search
You can find the results of your search below.
Fulltext results:
- MCQs with Answers (FSc/ICS Part 1) @fsc:fsc_part_1_mcqs
- (B) formula * (C) rational fraction * (D) theorem </col> <col sm="6"> * An arrangement of the num
- Important Questions: HSSC-I @fsc-part1-ptb
- uestions:ch08-mathematical-induction-and-binomial-theorem]] * [[fsc-part1-ptb:important-questions:ch09-f
- MTH424: Convex Analysis (Spring 2024) @atiq
- vex hull and their properties, Best approximation theorem. Convex functions, Basic definitions, properties,
- Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
- \sqrt{x+2}+\sqrt{x-3}=7$ * **Remainder Theorem:** If a polynomial $f(x)$ of degree $n \geq 1$ is... as a polynomial function of $x$. * **Factor Theorem:** The polynomial $(x-a)$ is a factor of the poly... = Chapter 08: Mathematical induction and binomial theorem ===== * **Binomial Theorem:** An algebraic expression consisting of two terms is called binomial expre
- MathCraft: PDF to LaTeX file: Sample-01 @mathcraft
- Srivastava, A family of the Cauchy type meanvalue theorems, J. Math. Anal. Appl. 306 (2005) 730-739. \end{e
- Atiq ur Rehman, PhD
- A.U. Rehman, G. Farid and Y. Mehboob, Mean value theorems associated to the differences of Opial–type ineq... rid, M. Marwan and Atiq ur Rehman, New mean value theorems and generalization of Hadamard inequality via co
- Topology and Functional Analysis Solved Paper by Noman Khalid @notes
- Component * First category * Baire's category theorem * Absolutely convergent series * Finite dimen
- Question 5 & 6 Review Exercise 7 @math-11-kpk:sol:unit07
- n write $$ (0.99)^5=(1-0.01)^5 $$ Using binomial theorem, we have $$ \begin{aligned} & (1-0.01)^5 \cong{ }
- Question 9 Exercise 7.3 @math-11-kpk:sol:unit07
- right)(1-x)^2 \end{aligned} $$ Applying binomial theorem $$ \begin{aligned} & =\left(x^2+2 x+1\right)[1+2
- Question 7 and 8 Exercise 7.3 @math-11-kpk:sol:unit07
- f the above given equation and apply the binomial theorem $$ \begin{aligned} & (1+x)^{\frac{1}{4}}+(1-x)^{\
- Question 5 and 6 Exercise 7.3 @math-11-kpk:sol:unit07
- }\right)^{-2} \end{aligned} $$ Applying binomial theorem and neglecting $\frac{1}{x^3}$ etc $$ \begin{alig
- Question 3 Exercise 7.3 @math-11-kpk:sol:unit07
- )^{-\frac{1}{2}} \text {. } $$ Applying binomial theorem, $$ \begin{aligned} & (1-x)^{\frac{1}{2}}(1+x)^{\
- Question 14 Exercise 7.3 @math-11-kpk:sol:unit07
- x^p-q x^q=p(1+h)^p-q(1+h)^q $$ Applying binomial theorem on the R.H.S of the above last equation, $$ \begi
- Question 13 Exercise 7.3 @math-11-kpk:sol:unit07
- x\right]^{-1} \end{aligned} $$ Applying binomial theorem now $$ \begin{aligned} & {\left[1+\left(\frac{n+1
- Question 1 Exercise 7.3 @math-11-kpk:sol:unit07
- i) (1 - x) $\frac{1}{2}$ Solution: Using binomial theorem to tind the four terms $$ \begin{aligned} & (1-x)... s \\ & \end{aligned} $$ Solution: Using binomial theorem $$ \begin{aligned} & (1-x)^{\frac{3}{2}}=1-\frac{