6. Obtain the fourth term in the expansion, in ascending powers of \( x \) of \( (2+3 x)^{11} \) Solution:

4. \( \left[(15: 5)^{4}\right]^{3}:\left[\left(2^{2} \times 5 \times 3\right): 12-2^{5}: 2^{4}\right]^{10}-1^{3} \)

D) Considérons les vecteurs \( \vec{u} \) et \( \vec{v} \) tels que \( \|\vec{v}\|=5 \). \( \|\vec{v}\|=2 \) et \( \vec{u} \cdot \vec{v}=10 \). Montrez que la norme du vecteur \( \vec{w} \vec{i}=2 \vec{u}+3 \vec{v} \) est égale à 16 et que celle du \( \vec{w}=2 \vec{u}-3 \vec{v} \) est égale à 4

what is the rule of below inverse founction? \( f(x)=\sqrt{x+2 \sqrt{x-1}} \)

26. The diagonal of a rectangular field is 20 m more than the shorter side of it. If the shorter side is 10 m less than the longer side, then find the sides of the rectangular field.

*Math Prep 2 Notebook 2025.pdf \( \times \) File | C:/Users/pc/Desktop/الكتب/الترم/20\%/Math\%20Prep\%202\%20Notebook\%202025.pdf Translate pexels Online Video, Logo... Google Drive - رnla EFB WebPortal هصر الرؤهية WhatsApp ت 3 H Draw (T) A aぁ Ask Copilot 66 of 138 b Edit with 66 Final Examinations 2 Complete the following : (1) If \( 7^{x}=1 \), then \( x=. \). Zeno. (2) If the mode of the values : \( 5,9,5, x-2,9 \) is 9 , then \( x= \) \( \qquad \) 3 II \( (-1,5) \) satisfies the relation : \( 2 x+y=k \), then \( \mathrm{k}= \) \( \qquad \) (4) The slope of any line parallel to \( y \)-axis is . \( \qquad \) 3 [a] Find in the simplest form : \( \sqrt[3]{54}+4 \sqrt[3]{\frac{1}{4}}-\sqrt[3]{2} \) [b] If \( \mathrm{A}=\rfloor-1,3] \) and \( \mathrm{B}=[0,5[ \), then find : \( 1 \mathrm{~A} \cap \mathrm{~B} \) (2) \( \mathrm{B}-\mathrm{A} \) 4 [a] If the volume of a sphere is \( 288 \pi \mathrm{~cm}^{3} \), find its arca. [b] Find the S.S. of the inequality : \( -2<3 X+7 \leq 10 \) in \( \mathbb{R} \), then represent the interval of the solution set on the number line. 5 [a] Represent graphically the relation: \( y=2 x-3 \)