By A. B. Basset
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Additional resources for An elementary treatise on cubic and quartic curves
52 in. APPLICATIONS 103. ALUMINUM FOIL Find the number of square feet of aluminum foil on a roll if the dimensions printed on the box are 8ᎏ31ᎏ yards ϫ 12 inches. 104. ) in diameter, is driven into the opponent’s goal. Find the volume of a puck in cubic centimeters and cubic inches. Round to the nearest tenth. 3 Operations with Real Numbers 105. PAPER PRODUCTS When folded, the paper sheet shown in the illustration forms a rectangular-shaped envelope. The formula 1 1 A ϭ ᎏ h1(b1 ϩ b2) ϩ b3h3 ϩ ᎏ b1h2 ϩ b1b3 2 2 gives the amount of paper (in square units) used in the design.
1 If r ϭ 2, s ϭ Ϫ5, and t ϭ 3, evaluate: a. Ϫ ᎏ s 3t 3 and ͙ෆ Ϫ5s b. ᎏ2 . (s ϩ t)r ACCENT ON TECHNOLOGY: EVALUATING ALGEBRAIC EXPRESSIONS Graphing calculators can evaluate algebraic expressions. For example, to evaluate Ϫa͙b ෆ ϩ 3c 3 ᎏᎏ c(c Ϫ b) (Example 11, part b) using a TI-83 Plus calculator, we ﬁrst enter the values of a ϭ Ϫ2, b ϭ 9, and c ϭ Ϫ1, using the store key STO and the ALPHA key. See ﬁgure (a). (Ϫ) 2 STO ALPHA A ALPHA : This enters a ϭ Ϫ2. 9 STO ALPHA B ALPHA : This enters b ϭ 9. (Ϫ) 1 STO ALPHA C ALPHA : This enters c ϭ Ϫ1.
30 1 b. ᎏ 50 b. 8, 6. a. Ϫ27, f. Ϫ20 e. 9, 11. a. 125, d. Ϫ4 5 b. Ϫ ᎏ 8 2. a. Ϫ19, 1 c. Ϫ ᎏ , 6 b. 64, 8. a. 23, d. Ϫ108 c. 16, b. Ϫ46 1 12. 3,125 ᎏ cm2 2 b. 5, 2 c. Ϫ ᎏ , 9 4. a. Ϫ11, 49 d. ᎏ 25 9. a. Ϫ32, b. 2 7. a. 8, b. Ϫ10, b. 719 13. about 7,069 mm3 STUDY SET Fill in the blanks. 1. When we add two numbers, the result is called the . When we subtract two numbers, the result is called the . 2. When we multiply two numbers, the result is called the . When we divide two numbers, the result is called the .
An elementary treatise on cubic and quartic curves by A. B. Basset