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TOEICใƒปEnglish Undergraduate

๐Ÿšจ่‡ณๆ€ฅใŠ้ก˜ใ„ใ„ใŸใ—ใพใ™๐Ÿšจ ๅ†™็œŸใฎๅ•้กŒใฎ็ญ”ใˆใŒใ‚ใฃใฆใ„ใ‚‹ใ‹ใฉใ†ใ‹ใฎ็ขบ่ชใ‚’ ใŠ้ก˜ใ„ใ—ใพใ™ใ€‚ ใ‚‚ใ—ใ€้–“้•ใฃใฆใ„ใ‚Œใฐๆญฃใ—ใ„็ญ”ใˆใจ ่งฃ่ชฌ็ญ‰ใ‚’ใŠ้ก˜ใ„ใ—ใพใ™ใ€‚

Check! II (็ขบ่ชๅ•้กŒ) CD 29 DL 29 ( )ๅ†…ใฎๆŒ‡็คบใซๅพ“ใฃใฆใ€ๆฌกใฎ1~4ใฎ่‹ฑๆ–‡ใฎไธ‹็ทš้ƒจๅˆ†ใ‚’ๆ›ธใๆ›ใˆใŸใ‚ใจใ€ใใฎ่‹ฑๆ–‡ใ‚’ๆ—ฅๆœฌ่ชžใซใ—ใชใ•ใ„ใ€‚ 1. My father cuts his nails now. (็พๅœจ้€ฒ่กŒๅฝขใซ) ใ€Š่‹ฑ่ชžใ€‹ My father.is. cutting.his.nails.naw ใ€Šๆ—ฅๆœฌ่ชžใ€‹็ˆถใฏไปŠ็ˆชใ‚’ๅˆ‡ใฃใฆใ„ใ‚‹ใ€‚ 2. Rumors flew about their marriage. (้ŽๅŽป้€ฒ่กŒๅฝขใซ) ใ€Š่‹ฑ่ชžใ€‹Rumers were flying about their marriase. ใ€Šๆ—ฅๆœฌ่ชžใ€‹ๅฝผใ‚‰ใฎ็ตๅฉšใซใคใ„ใฆใฎใ†ใ‚ใ•ใŒ้ฃ›ใณไบคใฃใฆใ„ใŸใ€‚ 3. The building will near completion. (ๆœชๆฅ้€ฒ่กŒๅฝขใซ) ใ€Š่‹ฑ่ชžใ€‹ The building will be nearing completion. ใ€Šๆ—ฅๆœฌ่ชžใ€‹ใ“ใฎๅปบ็‰ฉใ‚‚ๅฎŒๆˆใซ่ฟ‘ใฅใ„ใฆใ„ใพใ™ใ€‚ 4. Fred practices acupuncture' since 2014. (็พๅœจๅฎŒไบ†้€ฒ่กŒๅฝขใซ) ใ€Š่‹ฑ่ชžใ€‹ Fred has been practicing acupuncture since 2014. ใ€Šๆ—ฅๆœฌ่ชžใ€‹ใƒ•ใƒฌใƒƒใƒ‰ใฏ2014ๅนดใ‹ใ‚‰้ผ็ธๆฅญใ‚’ๅ–ถใ‚“ใงใ„ใพใ™ใ€‚ ใฏใ‚Šใใ‚…ใ† Notes 1. practice acupuncture ใ€Œ้ผ็ธๆฅญใ‚’ๅ–ถใ‚€ใ€ ใ‚’ใคใ‘ใ‚‹ใ€‚

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Mathematics Undergraduate

3)ใ‚’่งฃใ„ใฆใฟใŸใฎใงใ™ใŒ่จˆ็ฎ—ๆ–นๆณ•ใŒๅˆใฃใฆใ‚‹ใ‹ๅˆ†ใ‹ใ‚Šใพใ›ใ‚“ใ€‚ ใŠใใ‚‰ใไธŽๅผใฏ2ๆžš็›ฎใฎใ‚ˆใ†ใซใชใ‚‹ใจๆ€ใ„ใพใ™ใ€‚ 2)ใฎ่งฃ็ญ”ใซ่‡ชไฟกใฏใชใ„ใงใ™ใŒไปฅไธ‹ใฎ้€šใ‚Šใงใ™ใ€‚ A1=0๏ผŒA2=1/2,B1=1/2,B2=1,C1(u)=u, C2(u)=1-u ใพใŸใ€2)ใซใคใ„ใฆใ‚‚ใ—้–“้•ใ„ใŒใ‚ใ‚Œใฐ... Read More

S1. n ใ‚’่‡ช็„ถๆ•ฐx,yใ‚’ๅฎŸๅค‰ๆ•ฐใจใ—ใฆ,ไปฅไธ‹ใฎ่จญๅ•ใซ็ญ”ใˆใ‚ˆ. 1) ๅผ (S1.1) ใ‚’็”จใ„ใฆ, ๅผ (S1.2) ใฎๅบƒ็พฉ็ฉๅˆ†Iใ‚’็„ก้™็ดšๆ•ฐใง่กจใ™ใ“ใจใ‚’่€ƒใˆใ‚‹. ใ“ใฎ็„ก้™็ดšๆ•ฐใฎ็ฌฌn้ … ฮฑm ใ‚’ๆฑ‚ใ‚ใ‚ˆ. -* (|| < 1) (S1.1) n=0 1 = = L L 1 1 dady=ฮฃa (S1.2) 10 - xy n=1 2) ๅผ (S12)ใฎIใ‚’(x,y)= (u-vu+g) ใงๅค‰ๆ•ฐๅค‰ๆ›ใ‚’ใ—ใŸใ†ใˆใง, ๅผ (S1.3) ใฎ ใ‚ˆใ†ใซL, I2ใซๅˆ†่งฃใ™ใ‚‹. ใŸใ ใ—, ๅผ (S1.3) ใฏๅผ (S14), S1.5), (S1.6) ใ‚’ๆบ€ ใŸใ™.ใ“ใฎใจใ,ไธ‹ๅผใฎ A1, B1, Ci (u), A2, B2, C2(u), Dใซใ‚ใฆใฏใพใ‚‹ๅฎšๆ•ฐใพ ใŸใฏ้–ขๆ•ฐใ‚’ใใ‚Œใžใ‚Œ็ญ”ใˆใ‚ˆ. ใŸใ ใ—, A1 A2 ใจใ™ใ‚‹. I=h+I2 (S1.3) ใƒปBi ยทCโ‚(u) = - AL B2 g(u, v)dv du (S1.4) 0 C2 (1) = g(u, v)dv du tv) du (S1.5) (S1.6) I2 g(u,v) = 0 D 1-2 +02 3)ๅ•2) ใฎใฎๅ€คใ‚’ๆฑ‚ใ‚ใ‚ˆ. ๅฟ…่ฆใชใ‚‰ใฐ, ๅผ (S1.7), (S1.8) ใ‚’็”จใ„ใฆใ‚ˆใ„ใ€‚ d = dx 1 (arctanz) (S1.7) 1+ฮฑ2 1 (|x| < 1) (S1.8) 1-2-0-8(1+3) (1-22) (1 4)ๅ•2)ใฎ12ใฎๅ€คใ‚’ๆฑ‚ใ‚ใ‚ˆ. ๅฟ…่ฆใชใ‚‰ใฐ, ๅผ (S1.7), (S1.8), (S1.9) ใ‚’็”จใ„ใฆ ใ‚ˆใ„. 1- cos x tan sin a 2-2 I (sinzโ‰ 0) 5) ๅผ (S1.2) ใฎ็„ก้™็ดšๆ•ฐใฎๅ’Œใ‚’ๆฑ‚ใ‚ใ‚ˆ. (S1.9)

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