Anh chị giúp e giải bài này với ạ.E cảm ơn nhiều lắm
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\(a,=x^2+x+4x+4=\left(x+1\right)\left(x+4\right)\\ b,=x^2+2x-3x-6=\left(x-3\right)\left(x+2\right)\\ c,=x^2-2x-3x+6=\left(x-2\right)\left(x-3\right)\\ d,=3\left(x^2-2x+5x-10\right)=3\left(x-2\right)\left(x+5\right)\\ e,=-3x^2+6x-x+2=\left(x-2\right)\left(1-3x\right)\\ f,=x^2-x-6x+6=\left(x-1\right)\left(x-6\right)\\ h,=4\left(x^2-3x-6x+18\right)=4\left(x-3\right)\left(x-6\right)\\ i,=3\left(3x^2-3x-8x+5\right)=3\left(x-1\right)\left(3x-8\right)\\ k,=-\left(2x^2+x+4x+2\right)=-\left(2x+1\right)\left(x+2\right)\\ l,=x^2-2xy-5xy+10y^2=\left(x-2y\right)\left(x-5y\right)\\ m,=x^2-xy-2xy+2y^2=\left(x-y\right)\left(x-2y\right)\\ n,=x^2+xy-3xy-3y^2=\left(x+y\right)\left(x-3y\right)\)
\(\lim\limits_{x\rightarrow5}\left(x^3+5x^2-10x+8\right)=5^3+5.5^2-10.5+8=...\)
\(\lim\limits_{x\rightarrow-2}\dfrac{x^3-x^2-2x-8}{x^2+3x+2}=\dfrac{-16}{0}=-\infty\)
\(\lim\limits_{x\rightarrow-\infty}\dfrac{x^2-5x+2}{2\left|x\right|+1}=\lim\dfrac{\left|x\right|-5+\dfrac{2}{\left|x\right|}}{2+\dfrac{1}{\left|x\right|}}=\dfrac{+\infty}{2}=+\infty\)
\(\lim\limits_{x\rightarrow+\infty}\dfrac{\sqrt[3]{x^3+4x-3}-4x}{\sqrt{9x^2-5x+1}-4x}=\lim\limits_{x\rightarrow+\infty}\dfrac{x\left(\sqrt[3]{1+\dfrac{4}{x^2}-\dfrac{3}{x^3}}-4\right)}{x\left(\sqrt[]{9-\dfrac{5}{x}+\dfrac{1}{x^2}}-4\right)}=\dfrac{1-4}{3-4}=3\)
Lời giải:
a.
\(\lim\limits_{x\to 5}(x^3+5x^2-10x+8)=5^3+5.5^2-10.5+8=208\)
b.
\(L=\lim\limits_{x\to -2}\frac{x^3-x^2-2x-8}{x^2+3x+2}\lim\limits_{x\to -2}\frac{x^3-x^2-2x-8}{x+1}.\frac{1}{x+2}=16\lim\limits_{x\to -2}\frac{1}{x+2}\)\(\lim\limits_{x\to -2-}\frac{1}{x+2}=-\infty \Rightarrow L=-\infty ; \lim\limits_{x\to -2+}\frac{1}{x+2}=+\infty \Rightarrow L=+\infty \)
1. A. celebrate B. together C. restaurant D. organize
2. A. pollution B. awareness C. disappear D. addition
3. A. apple B. butter C. mother D. advance
4. A. protection B. referee C. dictation D. increasing
5. A. carriage B. damage C. survive D. lightning
6. A. generosity B. occurrence C. priority D. memorial
1. A. celebrate B. together C. restaurant D. organize
2. A. pollution B. awareness C. disappear D. addition
3. A. apple B. butter C. mother D. advance
4. A. protection B. referee C. dictation D. increasing
5. A. carriage B. damage C. survive D. lightning
6. A. generosity B. occurrence C. priority D. memorial
Bài 6
\(a,ĐK:x\ne\pm5\\ b,P=\dfrac{x-5+2x+10-2x-10}{\left(x-5\right)\left(x+5\right)}=\dfrac{x-5}{\left(x-5\right)\left(x+5\right)}=\dfrac{1}{x+5}\\ c,P=-3\Leftrightarrow\dfrac{1}{x+5}=-3\Leftrightarrow-3\left(x+5\right)=1\Leftrightarrow x=-\dfrac{16}{3}\\ \Leftrightarrow Q=\left(3x-7\right)^2=\left[3\cdot\left(-\dfrac{16}{3}\right)-7\right]^2=529\)
Bài 7:
\(a,ĐK:x\ne\pm3\\ b,P=\dfrac{3x-9+x+3+18}{\left(x-3\right)\left(x+3\right)}=\dfrac{4\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}=\dfrac{4}{x-3}\\ b,P=4\Leftrightarrow4\left(x-3\right)=4\Leftrightarrow x=4\)
\(d,=\dfrac{3y}{5x\left(x-y\right)}\\ e,=\dfrac{5x\left(x+2\right)\left(2-x\right)}{4\left(x-2\right)\left(x+2\right)}=\dfrac{-5x}{4}\\ f,=\dfrac{3\left(x-6\right)\left(x+6\right)}{2\left(x+5\right)\left(6-x\right)}=\dfrac{-3\left(x+6\right)}{2\left(x+5\right)}\\ g,=\dfrac{3xy\left(x-3y\right)\left(x+3y\right)}{2x^2y^2\left(x-3y\right)}=\dfrac{3\left(x+3y\right)}{2xy}\\ h,=\dfrac{45x^2y\left(x-y\right)\left(x+y\right)}{10xy\left(y-x\right)}=\dfrac{-9x\left(x+y\right)}{2}\\ i,=\dfrac{12\left(a-b\right)\left(a+b\right)\left(a^2+ab+b^2\right)}{3\left(a+b\right)\left(a-b\right)^2}=\dfrac{4\left(a^2+ab+b^2\right)}{a-b}\)
e: \(=\dfrac{5\left(x+2\right)}{4\left(x-2\right)}\cdot\dfrac{-2\left(x-2\right)}{x+2}=\dfrac{-10}{4}=-\dfrac{5}{2}\)
1 were you doing
2 were having - rang
3 takes - is celebrated
4 was formed
5 have lost - haven't found
6 is held to worship
7 skating
8 getting up
9 reading - doing
10 has been built
11 swimming - feel
12 were watching - failed
13 has worked - graduated
14 have been invited
15 will be discussing
16 decided not to stay
17 to pass - testing
18 not to phone
19 doing
20 to stay - do
a,\(n_{Na}=\dfrac{4,6}{23}=0,2\left(mol\right)\)
PTHH: 2Na + 2H2O → 2NaOH + H2
Mol: 0,2 0,2 0,1
\(V_{H_2}=0,1.22,4=2,24\left(l\right)\)
b,mNaOH=0,2.40=8 (g)
\(C\%_{ddNaOH}=\dfrac{8.100\%}{4,6+200-0,1.2}=3,91\%\)
a) \(\left(2m-1\right)sinx+1-m=0\Rightarrow sinx=\dfrac{m-1}{2m-1}\)
Pt có nghiệm: \(-1\le\dfrac{m-1}{2m-1}\le1\)
\(\Rightarrow1-2m\le m-1\le2m-1\Rightarrow m\ge\dfrac{2}{3}\)
b) \(\left(m+1\right)sin3x-cos3x=m+2\)
Pt có nghiệm: \(\left(m+1\right)^2+\left(-1\right)^2\ge\left(m+2\right)^2\)
\(\Rightarrow m^2+2m+1+1\ge m^2+4m+4\)
\(\Rightarrow-2m\ge2\Rightarrow m\le-1\)