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Chapter 2: Q. 61 (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.

x2-3y2=16

Short Answer

Expert verified

The equation foryisy=x2-163

Step by step solution

01

Step 1. Given Information

The given equation isx2-3y2=16

02

Step 2. Solve for y

x2-3y2=163y2=x2-16y2=x2-163y=x2-163

03

Step 3. Graph of the Equation

We obtained y=卤x2-163

The graph of hyperbola is shown in the figure

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