Advanced AlgebraMacmillan, 1906 - 562 páginas |
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Página 273
... graph of the tem- peratures from 12 to 11.20 . To find from the graph the temperatures at any hour , e.g. 2.30 , take a point A , 21 units from 0 , and measure 6 +59 4 3 ° 2 ° 1 2 3 X 4 9 10 11 P. M. the length of the perpendicular at A ...
... graph of the tem- peratures from 12 to 11.20 . To find from the graph the temperatures at any hour , e.g. 2.30 , take a point A , 21 units from 0 , and measure 6 +59 4 3 ° 2 ° 1 2 3 X 4 9 10 11 P. M. the length of the perpendicular at A ...
Página 274
... Graph of a function . To represent the various values which an algebraic function , e.g. 3 + 3x - 4x2 , assumes , when x changes from 3 to 9 , let us substitute in 3 + x - x2 , successively the values -3 , -2 , -1 , 0 , 1 , etc. == If x ...
... Graph of a function . To represent the various values which an algebraic function , e.g. 3 + 3x - 4x2 , assumes , when x changes from 3 to 9 , let us substitute in 3 + x - x2 , successively the values -3 , -2 , -1 , 0 , 1 , etc. == If x ...
Página 276
... graph of the function . X = -3-2 -1 Y Ο X 1 2 3 4 5 6 8 9 NOTE . It is convenient to use for such drawings coördinate paper , i.e. paper divided into squares , as shown in the diagram . An ordinary ruled sheet can also be used to ...
... graph of the function . X = -3-2 -1 Y Ο X 1 2 3 4 5 6 8 9 NOTE . It is convenient to use for such drawings coördinate paper , i.e. paper divided into squares , as shown in the diagram . An ordinary ruled sheet can also be used to ...
Página 277
... graph of the function x + 1 , from x = — 3 , to x = +3 . 26. From the graph constructed in Ex . 25 find approxi mately : ( a ) the value of x + 1 if x = -21 , − 1 , 11 . 3x - ( b ) the value of x , if x + 1 = - , 2 , 21 . ( c ) the ...
... graph of the function x + 1 , from x = — 3 , to x = +3 . 26. From the graph constructed in Ex . 25 find approxi mately : ( a ) the value of x + 1 if x = -21 , − 1 , 11 . 3x - ( b ) the value of x , if x + 1 = - , 2 , 21 . ( c ) the ...
Página 278
... graph of x2 , from x = — — 5 , to x = +5 , and from the diagram determine the following values : ( -1 ) , ( 31 ) , ( 2.2 ) , VT , V12 , √4.5 . ( Make the scale unit of the x equal to 10 times the scale unit of the " . ) GRAPHIC ...
... graph of x2 , from x = — — 5 , to x = +5 , and from the diagram determine the following values : ( -1 ) , ( 31 ) , ( 2.2 ) , VT , V12 , √4.5 . ( Make the scale unit of the x equal to 10 times the scale unit of the " . ) GRAPHIC ...
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Términos y frases comunes
a+b)² a²b a²b² a³b ab² ab³ algebraic angle arithmetic arithmetic means ax² b₁ binomial coefficients complex numbers consecutive numbers contains cube denominator determinant difference digits Dividing division divisor exceeds EXERCISE exponents factors feet Find the H. C. F. Find the number Find the sum Find the value following equations following expressions function graph graphically Hence inches integral letters logarithm method miles per hour monomial multiplied negative number of dollars obtain polynomial positive quadratic equation quotient ratio real numbers reduced remainder represented Simplify simultaneous equations Solve the equation Solve the following square root Substituting subtract surd symbols third Transposing triangle unknown number unknown quantities Va² x²y x²y² x²y³ xy² yards zero
Pasajes populares
Página 168 - In any proportion the product of the means is equal to the product of the extremes.
Página 162 - The sum of the three angles of any triangle is equal to 180°.
Página 45 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Página 374 - To release the paper, turn the handle /in a direction opposite to the motion of the hands of a watch.
Página 168 - If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Página 386 - How many 6-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 if each number has 3 odd and 3 even digits and no two digits are alike?
Página 133 - A fraction may be reduced by division to an integral or mixed expression, if the degree of the numerator is equal to, or greater than, that of the denominator.
Página 102 - A trinomial belongs to this type, ie it is a perfect square, when two of its terms are perfect squares, and the remaining term is equal to twice the product of the square roots of these terms. The student should note that a term, in order to be a perfect square, must have a positive sign.
Página 515 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 383 - ... are placed. Thus the combinations of the letters a, b, c, taken two at a time are ab, ас...