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Problem 6. Consider the curve defined by the equation 8ry - x2 - y? - 5 = 0. %3D 16 (1) Find all of the points (x, y) on the curve where the tangent line to the curve is horizontal. (2) Find all of the points (x, y) on the curve where the tangent line to the curve is vertical. Note: this type of curve is called a hyperbola.

Problem 6. Consider the curve defined by the equation 8ry - x2 - y? - 5 = 0. %3D 16 (1) Find all of the points (x, y) on the curve where the tangent line to the curve is horizontal. (2) Find all of the points (x, y) on the curve where the tangent line to the curve is vertical. Note: this type of curve is called a hyperbola.

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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only problem 6. I would like to compare my results.

g (2) = 7 g(4) = -3, %3D then find h'(2) and (f-1)'(3). Problem 5. Consider the curve x = sin(y). Find the point on the curve where the tangent line is parallel to the line y= -x and such that the y-coordinate of the point is (are) between 0 and 27 (i.e., 0 <y < 27). There may be one or more such points. Problem 6. Consider the curve defined by the equation 8xy – x2 - y² - = 0. 15 16 (1) Find all of the points (x, y) on the curve where the tangent line to the curve is horizontal. (2) Find all of the points (x, y) on the curve where the tangent line to the curve is vertical. Note: this type of curve is called a hyperbola. Problem 7. Let f(x) = xe. Compute y', y", y", y(4), y(5). Determine a formula for y") for any integer n > 1? Problem 8. Find the equation of the tangent line to x² +xy- y3 = 3 at the point (-1,-1). 1 200 CAHIER DE NOTES À UN SUJET RULED PAGES PAGES LIGNES
Transcribed Image Text:g (2) = 7 g(4) = -3, %3D then find h'(2) and (f-1)'(3). Problem 5. Consider the curve x = sin(y). Find the point on the curve where the tangent line is parallel to the line y= -x and such that the y-coordinate of the point is (are) between 0 and 27 (i.e., 0 <y < 27). There may be one or more such points. Problem 6. Consider the curve defined by the equation 8xy – x2 - y² - = 0. 15 16 (1) Find all of the points (x, y) on the curve where the tangent line to the curve is horizontal. (2) Find all of the points (x, y) on the curve where the tangent line to the curve is vertical. Note: this type of curve is called a hyperbola. Problem 7. Let f(x) = xe. Compute y', y", y", y(4), y(5). Determine a formula for y") for any integer n > 1? Problem 8. Find the equation of the tangent line to x² +xy- y3 = 3 at the point (-1,-1). 1 200 CAHIER DE NOTES À UN SUJET RULED PAGES PAGES LIGNES
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