In Problems 27 through 31, a function y = g(x) is describe by some geometric property of its graph. Write a differentic equation of the form dy/dx = f(x, y) having the function g a its solution (or as one of its solutions). 27. The slope of the graph of g at the point (x, y) is the sum of x and y. 28. The line tangent to the graph of g at the point (x, y) inter- sects the x-axis at the point (x/2,0). 29. Every straight line normal to the graph of g passes through the point (0, 1). Can you guess what the graph of such a function g might look like? -30. The graph of g is normal to every curve of the form = x² + k (k is a constant) where they meet. 31. The line tangent to the granh of

In Problems 27 through 31, a function y = g(x) is describe by some geometric property of its graph. Write a differentic equation of the form dy/dx = f(x, y) having the function g a its solution (or as one of its solutions). 27. The slope of the graph of g at the point (x, y) is the sum of x and y. 28. The line tangent to the graph of g at the point (x, y) inter- sects the x-axis at the point (x/2,0). 29. Every straight line normal to the graph of g passes through the point (0, 1). Can you guess what the graph of such a function g might look like? -30. The graph of g is normal to every curve of the form = x² + k (k is a constant) where they meet. 31. The line tangent to the granh of

Name: Do 30. In Problems 27 through 31, a function y = g(x) is describedby s
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Description: Do 30. In Problems 27 through 31, a function y = g(x) is describedby some geometric property of its graph. Write a differentialequation of the form dy/dx = f(x, y) having the function g asits solution (or as one of its solutions).27. The slope of the

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 92E

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