I. Miller's An Introduction To Mathematics - With Applns to Science and PDF

Introduction

By I. Miller

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A constant is a symbol which represents the same number throughout a discussion. A variable is a symbol which may represent different numbers in the discussion or problem into which it enters. rr3 the symbol T is a constant, whatever values V and r , may have, while V and r are variables. In most cases the letters a, 6, c, .... from the beginning of the alphabet are used to denote constants while the letters #, y, z at the end of the alphabet are used to denote variables. 26. Definition of a Function.

VI 37. Distance between two points, P(x\, y\) and Q(xz, 2/2) in terms of the coordinates of the points. In Fig. 18 we see that PQ = V(PA) 2 + (AQ) 2 . PQ = V(x 2 - *i) 2 + 2 - t/i) 2 PA = X2 x\ and AQ = (7/2 (t/ since Example. (2) , 2/1). Find the distance between the points (5, 6) and (1, 3). ' Solution. PQ = V(5 - I) 2 + (6 - 3) 2 Exercises 1. Find the distance between the pairs of point in Exercises 3 to 8, Art. 36. 2. Find the distance from the origin to the point 3. Prove that the triangle having for 3), (5, 3) is an isosceles triangle.

Therefore begin at (2, . f means a 3 units and run 5 units to the right. ) (2, 3). final 2. Construct a line through (1, 2) having f for one having f for its slope. For each of the following pairs of points: (a) (6) (c) 3. 4. 5. A slope 3),; rise point with its slope, also, Plot the points, Draw the straight line through them, Find the slope of the line. (1, 2) and (3, 5). 6. (-3, -4) and (-2, -3). (3, 2) and (-3, -5). 7. (6, 7) and (-3, (0, 5) and (-2, 3) and (2, -2). 8. 2, 0). 2). AN INTRODUCTION TO MATHEMATICS 50 [CHAP.

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An Introduction To Mathematics - With Applns to Science and Agriculture by I. Miller


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