35 Mother said she was busy

36 She told the police she had heard strange noises during the night

37 Peter said he went to school by train then

38 Sandy said her father liked coffee

39 She told me she had been phoning with her friend for....

40 Jim told me he would spend his holidays in Paris the next week

\(S=3+3^2+3^3+3^4+3^5+3^6+3^7+3^8+3^9\\ =\left(3+3^2+3^3\right)+3^3.\left(3+3^2+3^3\right)+3^6.\left(3+3^2+3^3\right)\\ =39+3^3.39+3^6.39\\ =-39.\left(-1-3^3-3^6\right)⋮\left(-39\right)\)

S = 3 + 3² + 3³ + 3⁴ + 3⁵ + 3⁶ + 3⁷ + 3⁸ + 3⁹

S = ( 3 + 3² + 3³ ) +3⁴ + 3⁵ + 3⁶ + 3⁷ + 3⁸ + 3⁹ 

S = 39 + 3⁴ + 3⁵ + 3⁶ + 3⁷ + 3⁸ + 3⁹

Vì 39 ⋮ -39

<=> S ⋮ -39

35.

\(y'=5cos^4\left(2-3x\right).\left[cos\left(2-3x\right)\right]'\)

\(=5cos^4x.\left(-sin\left(2-3x\right)\right).\left(2-3x\right)'\)

\(=15cos^4\left(2-3x\right).sin\left(2-3x\right)\)

\(\Rightarrow\left\{{}\begin{matrix}m=15\\n=4\end{matrix}\right.\) \(\Rightarrow m+n=19\)

36.

\(U_2=2-\dfrac{1}{2}=\dfrac{3}{2}\) ; \(u_3=2-\dfrac{1}{\dfrac{3}{2}}=\dfrac{4}{3}\) ; \(u_5=2-\dfrac{1}{\dfrac{4}{3}}=\dfrac{5}{4}\)

\(\Rightarrow\) Quy nạp được \(u_n=\dfrac{n+1}{n}\)

\(\Rightarrow\lim\left(u_n\right)=\lim\dfrac{n+1}{n}=1\)

37.

\(\lim\limits_{x\rightarrow3}\dfrac{\sqrt{x^2+7}-4}{2x-6}=\lim\limits_{x\rightarrow3}\dfrac{x^2-9}{2\left(x-3\right)\left(\sqrt{x^2+7}+4\right)}\)

\(=\lim\limits_{x\rightarrow3}\dfrac{\left(x-3\right)\left(x+3\right)}{2\left(x-3\right)\left(\sqrt{x^2+7}+4\right)}\)

\(=\lim\limits_{x\rightarrow3}\dfrac{x+3}{2\left(\sqrt{x^2+7}+4\right)}=\dfrac{6}{2\left(\sqrt{9+7}+4\right)}=\dfrac{3}{8}\)

Hàm liên tục trên R khi:

\(\dfrac{3}{8}=1-2m\Rightarrow m=\dfrac{5}{16}\in\left(0;1\right)\)

Câu 35.

\(\xi_b=\xi=9V\)

\(r_b=\dfrac{r}{n}=\dfrac{r}{2}=\dfrac{2}{2}=1\Omega\)

\(R_Đ=\dfrac{U^2_Đ}{P_Đ}=\dfrac{3^2}{3}=3\Omega\)

\(R_{tđ}=\dfrac{R_1\cdot R_2}{R_1+R_2}+R_Đ=\dfrac{10\cdot10}{10+10}+3=8\Omega\)

Chọn A.

Câu 36.

\(I_Đ=I_m=\dfrac{\xi_b}{r_b+R_{tđ}}=\dfrac{9}{1+8}=1A\)

\(I_{Đđm}=\dfrac{P_Đ}{U_Đ}=\dfrac{3}{3}=1A\)

Vậy đèn sáng bình thường.

Chọn B

Câu 37.

\(U_2=U_{12}=I_{12}\cdot R_{12}=I\cdot R_{12}=1\cdot5=5V\)

\(I_2=\dfrac{U_2}{R_2}=\dfrac{5}{10}=0,5A\)

\(Q_{R_2tỏa}=R_2\cdot I_2^2t=10\cdot0,5^2\cdot2\cdot60=300J\)

Không có đáp án!!!

Câu 38.

Công suất trên toàn mạch:

\(P=\xi\cdot I=9\cdot1=9W\)

Điện năng sản ra trong toàn mạch 5 phút:

\(A=P\cdot t=9\cdot5\cdot60=2700J\)

Chọn C.

Câu 40.

Hiệu suát nguồn:

\(H=\dfrac{R_{tđ}}{r+R_{td}}=\dfrac{8}{1+8}=88,89\%\approx89\%\)

Chọn B

Ta có

\(m_{CuCl_2\left(1\right)}=\dfrac{300.15\%}{100\%}=45g\\ C_{\%CuCl_2\left(3\right)}=\dfrac{45+\dfrac{m.5,4\%}{100\%}}{300+m}\cdot100\%=11,8\%\\ \Rightarrow m=150g\)

Chúc thi tốt nhé  

35 A

36 D

37 A