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Additional info for Cram101 textbook outlines to accompany: calculus early transcendentals
8. y 4 xϪ3 9. y Ϫ2 Ϫx 11. y 3 Ϫ e ■ ■ 10. y 1 ϩ 2e x ■ ■ ■ ■ ■ ■ ■ Ϫx ■ ͒ ■ ■ 13. Starting with the graph of y e x, write the equation of the graph that results from (a) shifting 2 units downward (b) shifting 2 units to the right (c) reflecting about the x-axis (d) reflecting about the y-axis (e) reflecting about the x-axis and then about the y-axis 1 1 ϩ ex ■ ■ ■ ■ ■ ■ ■ ■ ■ ͪ 20. Suppose you are offered a job that lasts one month. Which of the following methods of payment do you prefer?
Y e , ye , x 5. 6 x, ■ ■ y 20 x x y 10 x, 6. 9 x, ■ y 5 x, ■ y8 1 x 3 ), ■ ■ ■ ■ ■ Make a rough sketch of the graph of the function. Do not use a calculator. 3. 8. y 4 xϪ3 9. y Ϫ2 Ϫx 11. y 3 Ϫ e ■ ■ 10. y 1 ϩ 2e x ■ ■ ■ ■ ■ ■ ■ Ϫx ■ ͒ ■ ■ 13. Starting with the graph of y e x, write the equation of the graph that results from (a) shifting 2 units downward (b) shifting 2 units to the right (c) reflecting about the x-axis (d) reflecting about the y-axis (e) reflecting about the x-axis and then about the y-axis 1 1 ϩ ex ■ ■ ■ ■ ■ ■ ■ ■ ■ ͪ 20.
A) Express the horizontal distance d (in miles) that the plane has flown as a function of t. (b) Express the distance s between the plane and the radar station as a function of d. (c) Use composition to express s as a function of t. 59. The Heaviside function H is defined by H͑t͒ ͭ 0 1 if t Ͻ 0 if t ജ 0 It is used in the study of electric circuits to represent the sudden surge of electric current, or voltage, when a switch is instantaneously turned on. (a) Sketch the graph of the Heaviside function.