By Maurice D. Weir, George B. Thomas Jr., Joel R. Hass
This textual content is designed for the only variable section of a three-semester or four-quarter calculus path (math, engineering, and technological know-how majors).
Calculus hasn’t replaced, yet your scholars have. Today’s scholars were raised on immediacy and the need for relevance, and so they come to calculus with diversified mathematical backgrounds. Thomas’ Calculus: Early Transcendentals, 12th Edition, is helping your scholars effectively generalize and practice the major principles of calculus via transparent and specific motives, fresh layout, thoughtfully selected examples, and stronger workout units. Thomas bargains the correct mix of easy, conceptual, and demanding workouts, besides significant purposes. this crucial revision gains extra examples, extra mid-level workouts, extra figures, and superior conceptual flow.
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Extra info for Thomas' Calculus Early Transcendentals (12th Edition)
5, 5] by [-25, 15] 2. ƒsxd = x 3 - 4x 2 - 4x + 16 a. [- 1, 1] by [ - 5, 5] b. [- 3, 3] by [- 10, 10] c. [- 5, 5] by [- 10, 20] d. [- 20, 20] by [- 100, 100] 3. ƒsxd = 5 + 12x - x b. [- 5, 5] by [ -10, 10] c. [- 4, 4] by [- 20, 20] d. [- 4, 5] by [- 15, 25] a. [- 2, 2] by [- 2, 2] b. [- 2, 6] by [- 1, 4] c. [- 3, 7] by [0, 10] d. [- 10, 10] by [- 10, 10] Finding a Viewing Window T In Exercises 5–30, find an appropriate viewing window for the given function and use it to display its graph. x3 x2 - 2x + 1 5.
Cos sp + xd 40. sin s2p - xd 41. sin a 42. cos a 3p - xb 2 43. Evaluate sin 7p p p as sin a + b . 12 4 3 44. Evaluate cos 11p p 2p b. as cos a + 12 4 3 p 45. Evaluate cos . 12 p 12 0 x 1 58. a. Apply the formula for cos sA - Bd to the identity sin u = cos a p - u b to obtain the addition formula for sin sA + Bd . 2 b. Derive the formula for cos sA + Bd by substituting - B for B in the formula for cos sA - Bd from Exercise 35. 59. A triangle has sides a = 2 and b = 3 and angle C = 60° . Find the length of side c.
The accompanying figure shows the graph of y = x 2 shifted to two new positions. Write equations for the new graphs. 14. Copy and complete the following table. g(x) a. 1 x - 1 ƒ(x) (ƒ ؠg)(x) ƒxƒ ? b. x - 1 x c. 2x d. 2x x x + 1 ƒxƒ ƒxƒ ? y Position (a) y ϭ x2 3 15. Evaluate each expression using the given table of values x 0 Position (b) -2 -1 0 1 2 ƒ(x) 1 0 -2 1 2 g(x) 2 1 0 -1 0 x –5 23. Match the equations listed in parts (a)–(d) to the graphs in the accompanying figure. a. ƒsgs -1dd b.
Thomas' Calculus Early Transcendentals (12th Edition) by Maurice D. Weir, George B. Thomas Jr., Joel R. Hass