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23. f(t) = 3t - 7, t 1 24. f(t) = 3t2 + 2t, t 3 %3D %3D t + 1 25. f(t) t = 2 %3D

23. f(t) = 3t - 7, t 1 24. f(t) = 3t2 + 2t, t 3 %3D %3D t + 1 25. f(t) t = 2 %3D

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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35. (a) Find an eq that has slo (b) Writing to Learn Describe what happens to the tangent at of a communi- elow. x = a as a changes. (b) Find an equ that has slo 19. y = x2 + 2 20. y = 2/x 1 21. у %3D x - 1 36. Finding Tanc y = 9 - x² the age D of a mec and interpret th dosage when C 22. y = 9 - x? 37. Sensitivity A Find the instantaneous rate of change of the position function y = f(t) in feet at the given time t in seconds. 38. Sensitivity It ity of v feet per H = v²/64 fee the initial veloc 23. f(t) = 3t- 7, t = 1 24. f(t) = 3t2 + 2t, t 3 t + 1 25. f(t) t = 2 t. 39. Table 2.2 gives millions of bus. 26. f(t) = t3 - 1, t= 2 27. Free Fall An object is dropped from the top of a 100-m tower. Its height above ground after t sec is 100 - 4.9t2 m. How fast is it falling 2 sec after it is dropped? 28. Rocket Launch At t sec after lift-off, the height of a rocket is 3t2 ft. How fast is the rocket climbing after 10 sec? T d normal 29. Area of Circle What is the rate of change of the area of a circle with respect to the radius when the radius is r = 3 in.? x = 1 30. Volume of Sphere What is the rate of change of the volume of a sphere with respect to the radius when the radius is r = 2 in.? at x = 0 31. Free Fall on Mars The equation for free fall at the surface of Mars is s = 1.86t² m with t in seconds. Assume a rock is dropped from the top of a 200-m cliff. Find the speed of the rock eindicated Source Resear at t = 1 sec. (a) Make a scat (b) Let P repres correspondi: and Q3 the p secant line 40. Table 2.3 gives angent at the vhy not. lars for national TABLE 32. Free Fall on Jupiter The equation for free fall at the surfeee of Jupiter is s = 11.4412 m with dropped from the top of a 500- at t = 2 sec. Year ds. Assume a rock is the speed of the rock 2008 2009 33. Horizontal Tangent At wh f(x) = x2 + 4x - 1 horizont tangent 2010 rizontal TangentAt wh 201
Transcribed Image Text:35. (a) Find an eq that has slo (b) Writing to Learn Describe what happens to the tangent at of a communi- elow. x = a as a changes. (b) Find an equ that has slo 19. y = x2 + 2 20. y = 2/x 1 21. у %3D x - 1 36. Finding Tanc y = 9 - x² the age D of a mec and interpret th dosage when C 22. y = 9 - x? 37. Sensitivity A Find the instantaneous rate of change of the position function y = f(t) in feet at the given time t in seconds. 38. Sensitivity It ity of v feet per H = v²/64 fee the initial veloc 23. f(t) = 3t- 7, t = 1 24. f(t) = 3t2 + 2t, t 3 t + 1 25. f(t) t = 2 t. 39. Table 2.2 gives millions of bus. 26. f(t) = t3 - 1, t= 2 27. Free Fall An object is dropped from the top of a 100-m tower. Its height above ground after t sec is 100 - 4.9t2 m. How fast is it falling 2 sec after it is dropped? 28. Rocket Launch At t sec after lift-off, the height of a rocket is 3t2 ft. How fast is the rocket climbing after 10 sec? T d normal 29. Area of Circle What is the rate of change of the area of a circle with respect to the radius when the radius is r = 3 in.? x = 1 30. Volume of Sphere What is the rate of change of the volume of a sphere with respect to the radius when the radius is r = 2 in.? at x = 0 31. Free Fall on Mars The equation for free fall at the surface of Mars is s = 1.86t² m with t in seconds. Assume a rock is dropped from the top of a 200-m cliff. Find the speed of the rock eindicated Source Resear at t = 1 sec. (a) Make a scat (b) Let P repres correspondi: and Q3 the p secant line 40. Table 2.3 gives angent at the vhy not. lars for national TABLE 32. Free Fall on Jupiter The equation for free fall at the surfeee of Jupiter is s = 11.4412 m with dropped from the top of a 500- at t = 2 sec. Year ds. Assume a rock is the speed of the rock 2008 2009 33. Horizontal Tangent At wh f(x) = x2 + 4x - 1 horizont tangent 2010 rizontal TangentAt wh 201
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