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Chapter 2: Q. 59 (page 210)

For each of the equations in Exercises 59鈥�62, y is defined as an implicit function of x. Solve for y, and use what you find to sketch a graph of the equation.

14x2+y2=9

Short Answer

Expert verified

The equation foryisy=卤36-x22

Step by step solution

01

Step 1. Given Information

The given equation is14x2+y2=9

02

Step 2. Finding equation of y

14x2+y2=9y2=9-14x2=36-x24y=卤36-x22

03

Step 3. Graph of the Equation

We obtained y=卤36-x22

The graph is of ellipse

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Use (a) the h鈫�0definition of the derivative and then

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