Grade

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English Senior High

お願いします

1 Today, Taylor Swift is one of the most popular singers in the world, and is also al cover model for fashion magazines. But she was not always so popular. 2 Taylor Swift began singing country music in Pennsylvania when she was eleven. Country music is an older form of music in the USA that is usually enjoyed by 5 adults. Maybe this is why other kids at her school thought she was strange for stopped calling her. singing country music. Over time, these friends 3 One day, she invited many of her friends to go to the shopping center, but all of them said they were busy. So, Taylor went with her mother. When they got there, they saw all the girls shopping together without Taylor. Soon after that, Taylor 10 began eating lunch at school alone. (1): 4 Taylor asked her parents to take her to *Nashville, a city in Tennessee where many country singers and musicians worked. Her parents decided to move there to help her make her dream come true. Taylor's parents were right to believe she could succeed. At age fourteen, she got a contract with RCA Records, a major music 15 company. 5 RCA wanted Taylor to sing other people's songs until she was an adult. Taylor “ did not like this. She wanted to write and sing her own songs about her life and the boys she dated. The record company did not think older country fans would want to hear (3)a teenage girl talk about her life. 6 Taylor left RCA and joined a smaller record company that released her records. Her music became very popular with teenagers as well as older country music fans. Soon, Taylor was considered a major pop star, and young people who did not normally listen to country loved her music too. 5 7 One day she returned to Pennsylvania to do a concert. Girls from her old school came to the concert and were excited to see her. They treated her like a star, and seemed to have forgotten that they had stopped talking to her in junior high school. 20 Taylor realized her life had changed. (4) * Nashville + VIEN

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Mathematics Undergraduate

写真の問題3と4ですが、文字で置かれているベクトルが1次従属であるか確かめるプロセスをお願いいたします。また、問題4のような問題はどのような方法で確かめますか?

第1問 経済数学 以下の各問すべてに答えなさい。 問1. 1. 関数 f(x)=e2x を x=0で2次の項までテイラー展開しなさい。 また、その結果を 用いて el.2 の近似値を算出しなさい。 2.定積分∫fax210gxdx を計算しなさい。 ag 3、x,y,z0 のとき、関数 g(x,y,z)=x(²) の偏導関数 (x,y,z), d(x,y,z), 08 (x,y,z) をそれぞれ求めなさい。 4. 関数h(x)=-|x| が x=0で微分可能であるならばその値を示しなさい。 そうでな ければ、 微分不可能であることを示しなさい。 Y2-X 2. XX₂ TTL-1₁ X 1. 集合 V = {(x,y)=2x+y=1} が R2 の線形部分空間であるならば、そのことを 示しなさい。 線形部分空間ではないならば、 その理由を説明しなさい。 個①か国②×P GOGOY PAP 1 y=a z= b が一次従属となる条件は、 関 2. 行列 A = = [1] を対角化しなさい。 3.abeR のとき、ベクトルx= H この順番 数 f を使って a = f (b) となるときである。 f(b) をすべて求めなさい。 4.C,Dを正則なm次元正方行列、Iをm次元単位行列とする。 また、(I+CD) と (I + DC) は正則行列であるとする。 (I + CD)-1C = C(I + DC) -1 が成り立つことを確かめよ。 10- E

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