Giúp mình câu 10 với !
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\(n_{Zn}=\dfrac{3,25}{65}=0,05\left(mol\right)\)
pthh : \(Zn+2HCl->ZnCl_2+H_2\)
0,05 0,05
\(n_{CuO}=\dfrac{6}{80}=0,075\left(mol\right)\)
pthh : \(H_2+CuO-t^o->Cu+H_2O\)
LTL :
\(\dfrac{0,05}{1}< \dfrac{0,075}{1}\)
=> CuO dư
theo pthh : nCu = nH2 =0,05 (mol)
=> \(m_{Cu}=0,05.64=3,2\left(g\right)\)
theo pthh : \(n_{CuO\left(p\text{ư}\right)}=n_{H_2}=0,05\left(mol\right)\)
=> \(n_{CuO\left(d\right)}=0,075-0,05=0,025\left(mol\right)\)
=>\(m_{CuO}=0,025.80=2\left(g\right)\)
\(n_{Al}=\dfrac{2,7}{27}=0,1\left(mol\right)\)
PTHH: 2Al + 3H2SO4 ---> Al2(SO4)3 + 3H2
0,1 0,15 0,05 0,15
PbO + H2 --to--> Pb + H2O
0,15 0,15
\(\rightarrow\left\{{}\begin{matrix}a=0,15.98=14,7\left(g\right)\\V=0,15.22,4=3,36\left(l\right)\\m_{PbO}=0,15.233=34,95\left(g\right)\end{matrix}\right.\)
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Bài 10: A
Bài 11:
Áp dụng hệ thức về cạnh và góc trong tam giác vào tam giác vuông, ta được:
AC = AB.tan\(^{50^0}\) = 21.tan\(^{50^0}\) \(\approx\) 25
BC = \(\dfrac{AB}{\sin C}\)= \(\dfrac{21}{sin40^0}\)\(\approx\)33
BD = \(\dfrac{AB}{\cos25^0}\)=\(\dfrac{21}{\cos25^0}\)\(\approx\)23
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7)Đk \(x\le2\)
Pt \(\Leftrightarrow x^2-x+8=4-2x\)
\(\Leftrightarrow x^2+x+4=0\)
\(\Delta=-15< 0\) => vô nghiệm
Vậy pt vô nghiệm
10) \(\sqrt{9x+9}-4\sqrt{\dfrac{x+1}{4}}=5\) (đk: \(x\ge-1\)
\(\Leftrightarrow\sqrt{\left(x+1\right).9}-\dfrac{4\sqrt{x+1}}{\sqrt{4}}=5\)
\(\Leftrightarrow3\sqrt{x+1}-2\sqrt{x+1}=5\)
\(\Leftrightarrow\sqrt{x+1}=5\) \(\Leftrightarrow x=24\) (tm)
Vậy \(S=\left\{24\right\}\)
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1D 2B 3C 4A 5A 6C 7A 8A 9B 10A 11C 12D 13D 14D 15A 16D 17A 18C 19C 20D 21D 22C 23C 24A 25B 26C 27D 28B 29C
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Câu 10:
$\sin ^2x=0\Leftrightarrow \sin x=0$
$\Rightarrow x=k\pi$ với $k$ nguyên.
Trong các khoảng đã cho chỉ có khoảng ở đáp án A chứa $k\pi$ với $k$ nguyên.
Câu 11:
PT\(\Leftrightarrow 2\sin x\cos x-\sin x-2+4\cos x=0\)
\(\Leftrightarrow 2\cos x(\sin x+2)-(\sin x+2)=0\)
\(\Leftrightarrow (2\cos x-1)(\sin x+2)=0\)
Vì $\sin x\geq -1$ nên $\sin x+2\geq 1>0$
$\Rightarrow 2\cos x-1=0$
$\Leftrightarrow \cos x=\frac{1}{2}=\cos \frac{\pi}{3}$
$\Rightarrow x=\frac{\pi}{3}+2k\pi$ hoặc $x=-\frac{\pi}{3} +2k\pi$ với $k$ nguyên.
Đáp án B.
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Câu 10:
a: \(\Leftrightarrow-x^3+8x^3-12x^2+6x-1+1-3x+3x^2-x^3=0\)
\(\Leftrightarrow6x^3-9x^2+3x=0\)
\(\Leftrightarrow3x\left(2x^2-3x+1\right)=0\)
\(\Leftrightarrow x\left(2x-1\right)\left(x-1\right)=0\)
hay \(x\in\left\{0;\dfrac{1}{2};1\right\}\)
b: Đặt 3x-1=a; x-3=b
Theo đề, ta có: \(a^3+b^3-\left(a+b\right)^3=0\)
\(\Leftrightarrow a^3+b^3-a^3-b^3-3a^2b-3ab^2=0\)
\(\Leftrightarrow3ab\left(a+b\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-1=0\\x-3=0\\4-4x=0\end{matrix}\right.\Leftrightarrow x\in\left\{\dfrac{1}{3};3;1\right\}\)
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\(S=\int\limits^2_{-3}\left|f\left(x\right)\right|dx=-\int\limits^1_{-3}f\left(x\right)dx+\int\limits^2_1f\left(x\right)dx\)
(Phần nằm dưới trục hoành thêm dấu - đằng trước, phần nằm trên trục hoành giữ nguyên dấu)
\(10,\\ a,=\dfrac{\sqrt{2}\left(1-\sqrt{2}+\sqrt{3}\right)}{1-\left(\sqrt{2}-\sqrt{3}\right)^2}=\dfrac{\sqrt{2}-2+\sqrt{6}}{1-5+2\sqrt{6}}=\dfrac{\sqrt{2}-2+\sqrt{6}}{2\sqrt{6}-4}\\ =\dfrac{1-\sqrt{2}+\sqrt{3}}{2\sqrt{3}-2\sqrt{2}}=\dfrac{\left(1-\sqrt{2}+\sqrt{3}\right)\left(2\sqrt{3}+2\sqrt{2}\right)}{4}\\ =\dfrac{2\sqrt{3}+2\sqrt{2}-2\sqrt{6}-4+6+2\sqrt{6}}{4}\\ =\dfrac{2\sqrt{3}+2\sqrt{2}+2}{4}=\dfrac{\sqrt{3}+\sqrt{2}+1}{4}\)
\(b,=\dfrac{1}{3\sqrt{2}+2\sqrt{2}-2\sqrt{2}}=\dfrac{1}{4\sqrt{2}}=\dfrac{\sqrt{2}}{8}\\ c,=\dfrac{\sqrt{3}-\sqrt{2}+\sqrt{5}}{3-\left(\sqrt{2}-\sqrt{5}\right)^2}=\dfrac{\sqrt{3}-\sqrt{2}+\sqrt{5}}{3-7+2\sqrt{10}}\\ =\dfrac{\sqrt{5}+\sqrt{3}-\sqrt{2}}{2\sqrt{10}-4}=\dfrac{\left(\sqrt{5}+\sqrt{3}-\sqrt{2}\right)\left(2\sqrt{10}+4\right)}{24}\\ =\dfrac{10\sqrt{2}+4\sqrt{5}+2\sqrt{30}+4\sqrt{3}-4\sqrt{5}-4\sqrt{2}}{24}\\ =\dfrac{6\sqrt{2}+2\sqrt{30}+4\sqrt{3}}{24}=\dfrac{3\sqrt{2}+\sqrt{30}+2\sqrt{3}}{12}\)
câu d a thịnh làm r nhé