- •Введение
- •Unit 1.Ordinal and relation signs
- •1.1 Assignments
- •Unit 2.Operation signs and terms
- •2.1 Assignments
- •Unit 3.Operating with fractions
- •3.1Assignments
- •Unit 4.Decimal fractions
- •4.1 TEXT (Read the text and do the tasks that follow.)
- •4.2 Assignments
- •Unit 5.Roots
- •5.1 Assignments
- •Unit 6.Powers.
- •6.1 Assignments
- •Unit 7.Logarithms
- •7.1 Assignments
- •Unit 8.Some algebraic expressions and formulas
- •8.1 Assignments
- •Unit 9.Fundamental symbols and expressions concerning the theory of sets
- •9.1 Assignments
- •Unit 10.Classification of the elementary functions
- •10.1 Assignments
- •Unit 11.Expressions concerning intervals and limits
- •Tasks.
- •1. Analyse and memorize
- •2. Practice reading the following expressions by yourself, check your answer using the keys
- •APPENDIX.
- •KEYS.
- •Список использованной литературы.
- •Приложение Б
- •Приложение В
- •Приложение Г
- •Приложение Д
Unit 10.Classification of the elementary functions
Look through the table and try to memorize it.
functions |
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reading |
rational integral |
4 |
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y equals the sum of a (sub) K, x of the |
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y = ∑axk |
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functions |
k =ak |
power of k, taken k equal to zero to k equal |
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4 |
rational fractional |
y = |
7 + x |
y equal the fraction with the numerator 7 |
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functions |
2 + x2 |
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plus x and the denominator 2 minus x |
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squared |
irrational |
y = − z 2 − x2 |
y equals the negative square root of the |
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functions |
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difference z squared minus x squared |
exponential |
y = ln x |
y equals “l” “n” “x” |
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functions |
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trigonometric |
Y=sin x |
y equals the sine of x |
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functions |
Y=cos x |
y equals the cosine of x |
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Y=tg x |
y equals the tangent of x |
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Y=ctg x |
y equals the cotangent of x |
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Y=sec x |
y equals the secant of x |
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Y=csc x |
y equals the cosecant of x |
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antitrigonometric |
y = sin −1 x |
y equals: the inverse sine of x, |
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functions; or: |
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or: the arcsine of x |
inverse |
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or: the angle whose sine is x |
trigonometric |
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functions |
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10.1Assignments
10.1.1.Memorize the following words and word-groups:
rational integral function |
[`rxSqnl |
`IntIgrql |
рациональная |
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`fANkSqn] |
интегральная функция |
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rational fractional |
[`rxSqnl |
`frxkSqnl |
рациональная дробная |
functions |
`fANkSqn] |
функция |
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irrational function |
[I`rxSqnl |
`fANkSqn] |
иррациональная |
exponential function |
[`ekspou`nenSql |
функция |
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показательная функция |
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`fANkSqn] |
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trigonometric function |
[ ` trIgqnq`metrikc c |
тригонометрическая |
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`fANkSqn] |
функция |
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antitrigonometric |
[` xntI`trIgqnq`metrikc c |
обратная |
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function |
`fANkSqn] |
тригонометрическая |
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the sine |
[saIn] |
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функция |
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синус |
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the cosine |
[`kousain] |
косинус |
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the tangent |
[`txnGqnt] |
тангенс |
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the cotangent |
[`kou`txnGqnt] |
котангенс |
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the secant |
[`sJkqnt] |
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секанс |
the cosecant |
[`kousJkqnt] |
косеканс |
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the arc sine |
[`Rk`sain] |
арксинус |
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the arc cosine |
[`Rk`kousain] |
арккосинус |
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the angle |
[`xNgl] |
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угол |
the inverse |
[`In`vWs] |
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обратный, |
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противоположный, |
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инверсный |
10.1.2. Read the function
4
•y = ∑axk
k=ak
•y = 7 + x
2 + x2
•y = − z 2 − x2
•y = ln x
•Y=sin x
•Y=cos x
•Y=tg x
•Y=ctg x
•Y=sec x
•Y=csc x
•y = sin −1 x
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