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with a slope of 2. 48. Find the equation of the tangent and normal lines to the curve y x+x² – x+1 with a slope of -1. 49. Find the equation of the tangent and normal lines to the curve y = x + 3x? +

with a slope of 2. 48. Find the equation of the tangent and normal lines to the curve y x+x² – x+1 with a slope of -1. 49. Find the equation of the tangent and normal lines to the curve y = x + 3x? +

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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solve number 48 and 50

Answer the following problems. Find the equation of the tangent line to the 31. Find the equation of the tangent and normal lines to the curve y = x? +3x-1 circle x? + y? = 4 perpendicular to the with a slope of 1. line y = x. 32. Find the equation of the tangent and Find the equation of the tangent and normal lines to the curve y = x2 + 6x +9 normal lines to the parabola y = x² + at its point of intersection with the line 3x – 2 parallel to the line y = 2x + 1. y = 0. Find the equation of the tangent and 33. Find the equation of the tangent and normal lines to the curve y = x2 + 2x +3 normal lines to the curve y = x - 3x? + 3x –9 at its point of intersection with the parallel to the line y = x +5. x- axis. Find the equation of the tangent line to the 34. Find the equation of the tangent and y = x* + 2x3 + x² – x+ 2 curve normal lines to the curve xy = x+3 at perpendicular to the line y = 5-x. its point of intersection at (-1,-2). 39. Find the equation of the tangent and 45. Find the equation of the tangent and normal lines to the curve y = x3-6x +2 normal lines to the curve y x* +2x³ - parallel to the line 6x = y - 5. 2x? – 6x +5 with a slope of -6. 40. Find the equation of the tangent and 46. Find the equation of the tangent and normal lines to the curve y = x +x- 3 normal lines to the curve y = (x+2)³ parallel to the line x = y. with a slope of 3. 41. Find the equation of the tangent line to the 47. Find the equation of the tangent and curve x? +y = 2x +5 perpendicular to normal lines to the curve y = x? + 4x - 2 the line 2y = x+ 2. with a slope of 2. 42. Find the equation of the tangent and 48. Find the equation of the tangent and normal lines to the curve y = x* - 8x?+ normal lines to the curve y = x3 + x? - 4x – 80 parallel to the line y = 3+4x. x+1 with a slope of -1. 43. Find the equation of the tangent and 49. Find the equation of the tangent and normal lines to the curve y = x +2x² - normal lines to the curve y = x3 + 3x² + 2x +1 parallel to the line 3x = 4 - y. 4x – 2 with a slope of 1. 50. Find the equation of the tangent and normal lines to the curve y = x + 3x² + 44. Find the equation of the tangent line to the parabola y = x? +x-2 perpendicular to the line y = x - 1. x-1 with a slope of 1.
Transcribed Image Text:Answer the following problems. Find the equation of the tangent line to the 31. Find the equation of the tangent and normal lines to the curve y = x? +3x-1 circle x? + y? = 4 perpendicular to the with a slope of 1. line y = x. 32. Find the equation of the tangent and Find the equation of the tangent and normal lines to the curve y = x2 + 6x +9 normal lines to the parabola y = x² + at its point of intersection with the line 3x – 2 parallel to the line y = 2x + 1. y = 0. Find the equation of the tangent and 33. Find the equation of the tangent and normal lines to the curve y = x2 + 2x +3 normal lines to the curve y = x - 3x? + 3x –9 at its point of intersection with the parallel to the line y = x +5. x- axis. Find the equation of the tangent line to the 34. Find the equation of the tangent and y = x* + 2x3 + x² – x+ 2 curve normal lines to the curve xy = x+3 at perpendicular to the line y = 5-x. its point of intersection at (-1,-2). 39. Find the equation of the tangent and 45. Find the equation of the tangent and normal lines to the curve y = x3-6x +2 normal lines to the curve y x* +2x³ - parallel to the line 6x = y - 5. 2x? – 6x +5 with a slope of -6. 40. Find the equation of the tangent and 46. Find the equation of the tangent and normal lines to the curve y = x +x- 3 normal lines to the curve y = (x+2)³ parallel to the line x = y. with a slope of 3. 41. Find the equation of the tangent line to the 47. Find the equation of the tangent and curve x? +y = 2x +5 perpendicular to normal lines to the curve y = x? + 4x - 2 the line 2y = x+ 2. with a slope of 2. 42. Find the equation of the tangent and 48. Find the equation of the tangent and normal lines to the curve y = x* - 8x?+ normal lines to the curve y = x3 + x? - 4x – 80 parallel to the line y = 3+4x. x+1 with a slope of -1. 43. Find the equation of the tangent and 49. Find the equation of the tangent and normal lines to the curve y = x +2x² - normal lines to the curve y = x3 + 3x² + 2x +1 parallel to the line 3x = 4 - y. 4x – 2 with a slope of 1. 50. Find the equation of the tangent and normal lines to the curve y = x + 3x² + 44. Find the equation of the tangent line to the parabola y = x? +x-2 perpendicular to the line y = x - 1. x-1 with a slope of 1.
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