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Given the following relation between x and y answer the following questions. a) Using implicit differentiation find dy dx x² + y² + 2xy-7x+6y=7 in terms of x and y. Input your answer here: dy dx Input all numbers as integers not as decimals.

Given the following relation between x and y answer the following questions. a) Using implicit differentiation find dy dx x² + y² + 2xy-7x+6y=7 in terms of x and y. Input your answer here: dy dx Input all numbers as integers not as decimals.

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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Given the following relation between x and y answer the following questions. a) Using implicit differentiation find - dy dx x² + y² + 2xy-7x+6y=7 in terms of x and y. Input your answer here: dy dx Input all numbers as integers not as decimals.
Transcribed Image Text:Given the following relation between x and y answer the following questions. a) Using implicit differentiation find - dy dx x² + y² + 2xy-7x+6y=7 in terms of x and y. Input your answer here: dy dx Input all numbers as integers not as decimals.
b) Find the two points (0,a), (0,b), a<b which lie on the curve given by the relation. a= b= (remember that a < b). Hence find the equations of the tangents at the points (0, a) and (0,6). Input all numbers as integers or as fractions, not as decimals. Equation of tangent at (0, a): Find the gradient of the tangent at (0, a). Gradient- Hence the equation of the tangent at (0, a) is: y Equation of tangent at (0, b): Find the gradient of the tangent at (0, b). Gradient- Hence the equation of the tangent at (0, b) is: y =
Transcribed Image Text:b) Find the two points (0,a), (0,b), a<b which lie on the curve given by the relation. a= b= (remember that a < b). Hence find the equations of the tangents at the points (0, a) and (0,6). Input all numbers as integers or as fractions, not as decimals. Equation of tangent at (0, a): Find the gradient of the tangent at (0, a). Gradient- Hence the equation of the tangent at (0, a) is: y Equation of tangent at (0, b): Find the gradient of the tangent at (0, b). Gradient- Hence the equation of the tangent at (0, b) is: y =
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