By John Bird

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**Extra info for Basic Engineering Mathematics, Third Edition**

**Example text**

47825324 . . 4783, correct to 4 significant figures. 4354605 . . 44, correct to 4 significant figures. Now try the following exercise Exercise 13 In Problems 1 to 3, use a calculator to evaluate the quantities shown correct to 4 significant figures: 1. 06392 p p p 2. 0256 3. (a) Problem 12. 118 In Problems 4 to 11, use a calculator to evaluate correct to 4 significant figures: 4. 5724 5. 329 6. 041 (a) 7. 0346 (c) 8. 1245 p p p 9. 74583457 . . 2 ð 7 significant figures. 61625876 . . 62, correct to 3 significant figures.

An equation is simply a statement that two quantities are equal. For example, 1 m D 1000 mm or F D 95 C C 32 or y D mx C c. An identity is a relationship which is true for all values of the unknown, whereas an equation is only true for particular values of the unknown. For example, 3x 5 D 1 is an equation, since it is only true when x D 2, whereas 3x Á 8x 5x is an identity since it is true for all values of x. Solutions to simple equations should always be checked and this is accomplished by substituting the solution into the original equation.

49 U 10−11 newtons, correct to 3 significant figures. Calculations and evaluation of formulae 27 Problem 23. The time of swing t seconds, of a simple l . 950 seconds, correct to 3 decimal places. Problem 24. Resistance, R , varies with temperature according to the formula R D R0 1 C at . 0043 and t D 80. 6 Z, correct to 3 significant figures. Now try the following exercise Exercise 15 Further problems on evaluation of formulae (Answers on page 254) 1. The area A of a rectangle is given by the formula A D lb.