By James Stewart

This top promoting writer group explains ideas easily and obviously, with out glossing over tricky issues. challenge fixing and mathematical modeling are brought early and bolstered all through, in order that whilst scholars end the direction, they've got an outstanding origin within the ideas of mathematical considering. This finished, flippantly paced ebook presents entire assurance of the functionality proposal and integrates enormous graphing calculator fabrics that aid scholars boost perception into mathematical principles. The authors' recognition to element and readability, as in James Stewart's market-leading Calculus textual content, is what makes this article the industry chief.

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**Sample text**

Apago PDF Enhancer Solution (a) To find a formula, we need to assign symbols to the quantities involved (see Figure 1). x 2x Figure 1 In Words In Algebra Width Length (2 ϫ width) Area x 2x A We can express the formula (or model) as follows. area ϭ length ϫ width A ϭ 2x ϫ x A ϭ 2x 2 Model (b) We want to find x when A ϭ 50, so we substitute this value for A in the model. A ϭ 2x 2 50 ϭ 2x 25 ϭ x 2 5ϭx 2 Model Substitute A ϭ 50 Divide each side by 2 Take the square root of each side The width of the sheet is 5 ft, so its length is 10 ft.

9, while a person with body-mass index B Ն 30 is considered obese. (a) Calculate the body-mass index for each person listed in the table, then determine whether he or she is of normal weight, underweight, overweight, or obese. Apago PDF Enhancer 79. 6 ϫ 1014 m2. What is the total volume of the ocean in liters? ) Person Weight Brian Linda Larry Helen 77. 3 light-years away. Use the information in Exercise 67(a) to express this distance in miles. 78. Speed of Light The speed of light is about 186,000 mi/s.

Assume the letters denote any real numbers. 1 8. 22. 1xy2 2z 23. 132 ϩ 118 3 Ϫ3/2 4 3 20. 2 x ϩ 14y ϩ 2z Simplify the expression. Apago PDF Enhancer 27. 1108 Ϫ 132 11 4. 9–18 ■ Exercises 1–8 ■ Write each radical expression using exponents, and each exponential expression using radicals. 33 51. 1y 3/4 2 2/3 53. 12x 4yϪ4/5 2 3 18y 2 2 2/3 55. a x 6y y 4 b 5/2 48.