# An Introduction To Mathematics with Applications to Science by Isaiah Leslie Miller

By Isaiah Leslie Miller

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_J, + + So; 18. 7 (a - fe)(6 6 - a: 2 c) - - 55 + 8x + 12 (o 6a - 22. Multiplication and (Art. ) Example Find (a). x2 Solution. 1 c)(c - a2 6) division. - 15a (6 - + 44 a)(c - a) See principles V and VI. AN INTRODUCTION TO MATHEMATICS 20 ^x , Example (<* (b). a - + 2 2 *>) - [CHAP. IV 6 * / b b Solution. Exercises Perform the following multiplications and divisions: s 2 + *)'* (1 a m 5. + ab m + mn 6. - mn m* a &\y 2 06 - (a \ x* - y . a-b a + b + 2mn ^ m m* ! + -- a 20 n 2 - ^ + a - a - 4n 2 62 2c 2 2 n2 25 n+l r 2 - a2 b c \a 800; ' 2 / ^ b/ 2 25 n2 o / 9.

We have = x Substituting this value for x in 4 +y- Substituting 6 for y in x (1), - = 6 we (2), =- 4y -3y = - or 4 14, y 18, find we find 4, or (4) = 6. x = 10. Hence the required values for x and y are 10 and 6 respectively. This method is known as elimination by substitution. Solution. From Second Method. (1) subtract (2) and we get 3y Multiplying (1) by 4 and (4) and (5), Hence the required (2) = y 18, by 6. (3) 1, the two equations become - 4y = 16, (4) -s + 4y = 14. (5) 4x Adding = we get 3x = solution 30, is x x = = 10.

31] 35 measured on the horizontal axis. The temperature degrees is measured vertically upward and downward. m. we count 4 spaces to the right and 2 spaces down locating a point. In a similar way we locate points for hours is in all of the data. By joining these points in order the graph is obtained. From temperature curve we may obtain much informathe temperature changing most rapidly? g. When was it warmest? When coldest? When was the change a rise? When a fall? this : When was Exercises 1. The daily gain in weight of a calf in pounds for period of one is given in the following table: hundred days Draw a curve showing this information.