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f'(x) = 1 +3x, f(4) 25 32. f'(x) 5x 3x 4. f(1) 2 f'(t) = 4/(1 + 12), f(1) 0 34. f'()=1 +1/1, 0, f(1)6 35. f'(x)5x2/, f(8) 21 36. f(x)=(x 1)/Vx, f1)= 5 T/2 < 0, f(2) 3, f'(1) = 43. f"(x)= 4 6x + 24x2, f(0)= 3, f(1)= 10 44. f"(x)= x3 sinh x, f (0) = 1, f (2) 2.6 ex- 2 sin x, f(0)= 3, f(T/ 2) = 0 45. f"(x)= t - cos t, f(0) = 2, f(1)= 2 46.f"(t) f(1) 2 3 COs t, 47. f"(x)= x-2, x> 0, f(1) = 0, f(2) = 0 48. f"(x)= coS x, f(0)= 1, f'(0)= 2, f"(0) 49. Given that the graph of f passes through the poi (2, 5) and that the slope of its tangent line at (x, is 3 - 4x, find f(1). 0. Find a function f such that f'(x)= x and the t y= 0 is tangent to the graph of f. 11

f'(x) = 1 +3x, f(4) 25 32. f'(x) 5x 3x 4. f(1) 2 f'(t) = 4/(1 + 12), f(1) 0 34. f'()=1 +1/1, 0, f(1)6 35. f'(x)5x2/, f(8) 21 36. f(x)=(x 1)/Vx, f1)= 5 T/2 < 0, f(2) 3, f'(1) = 43. f"(x)= 4 6x + 24x2, f(0)= 3, f(1)= 10 44. f"(x)= x3 sinh x, f (0) = 1, f (2) 2.6 ex- 2 sin x, f(0)= 3, f(T/ 2) = 0 45. f"(x)= t - cos t, f(0) = 2, f(1)= 2 46.f"(t) f(1) 2 3 COs t, 47. f"(x)= x-2, x> 0, f(1) = 0, f(2) = 0 48. f"(x)= coS x, f(0)= 1, f'(0)= 2, f"(0) 49. Given that the graph of f passes through the poi (2, 5) and that the slope of its tangent line at (x, is 3 - 4x, find f(1). 0. Find a function f such that f'(x)= x and the t y= 0 is tangent to the graph of f. 11

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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I need help with question #45 in Section 4.9, page 356, in the James Stewart Calculus Eighth Edition textbook. I need to find "f" given the function and the conditions.

f'(x) = 1 +3x, f(4) 25 32. f'(x) 5x 3x 4. f(1) 2 f'(t) = 4/(1 + 12), f(1) 0 34. f'()=1 +1/1, 0, f(1)6 35. f'(x)5x2/, f(8) 21 36. f(x)=(x 1)/Vx, f1)= 5 T/2 <<T/2, 37. f (t)= sec t (sec 1 tan t), f(m/4) 1 38. f'(t) 3' 3/t, f(1)=2, f(-1) 1 39. f"(x)= -212x 12x2, f(0) 4, f'(0) 1 40. f"(x)= 8x3 5, f(1) = 0, f'(1)= 8 41. f"(0)s f(0)= 3, f'(0)= 4 sin 0cos 0, 42. f"(t)t 1/t2, t> 0, f(2) 3, f'(1) = 43. f"(x)= 4 6x + 24x2, f(0)= 3, f(1)= 10 44. f"(x)= x3 sinh x, f (0) = 1, f (2) 2.6 ex- 2 sin x, f(0)= 3, f(T/ 2) = 0 45. f"(x)= t - cos t, f(0) = 2, f(1)= 2 46.f"(t) f(1) 2 3 COs t, 47. f"(x)= x-2, x> 0, f(1) = 0, f(2) = 0 48. f"(x)= coS x, f(0)= 1, f'(0)= 2, f"(0) 49. Given that the graph of f passes through the poi (2, 5) and that the slope of its tangent line at (x, is 3 - 4x, find f(1). 0. Find a function f such that f'(x)= x and the t y= 0 is tangent to the graph of f. 11
Transcribed Image Text:f'(x) = 1 +3x, f(4) 25 32. f'(x) 5x 3x 4. f(1) 2 f'(t) = 4/(1 + 12), f(1) 0 34. f'()=1 +1/1, 0, f(1)6 35. f'(x)5x2/, f(8) 21 36. f(x)=(x 1)/Vx, f1)= 5 T/2 <<T/2, 37. f (t)= sec t (sec 1 tan t), f(m/4) 1 38. f'(t) 3' 3/t, f(1)=2, f(-1) 1 39. f"(x)= -212x 12x2, f(0) 4, f'(0) 1 40. f"(x)= 8x3 5, f(1) = 0, f'(1)= 8 41. f"(0)s f(0)= 3, f'(0)= 4 sin 0cos 0, 42. f"(t)t 1/t2, t> 0, f(2) 3, f'(1) = 43. f"(x)= 4 6x + 24x2, f(0)= 3, f(1)= 10 44. f"(x)= x3 sinh x, f (0) = 1, f (2) 2.6 ex- 2 sin x, f(0)= 3, f(T/ 2) = 0 45. f"(x)= t - cos t, f(0) = 2, f(1)= 2 46.f"(t) f(1) 2 3 COs t, 47. f"(x)= x-2, x> 0, f(1) = 0, f(2) = 0 48. f"(x)= coS x, f(0)= 1, f'(0)= 2, f"(0) 49. Given that the graph of f passes through the poi (2, 5) and that the slope of its tangent line at (x, is 3 - 4x, find f(1). 0. Find a function f such that f'(x)= x and the t y= 0 is tangent to the graph of f. 11
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