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Chapter 11: Q. 64 (page 773)

In Problems 57-64, use a graphing utility to solve each system of equations. Express the solution(s) rounded to two decimal places.

x2+y2=4y=lnx

Short Answer

Expert verified

The graph of the system of equations x2+y2=4y=lnxis,

From the graph, the solutions of the system are,0.13,-2.00,1.89,0.64.

Step by step solution

01

Step 1. Given information

x2+y2=4y=lnx

First we need to solve each equation for y.

Consider the first equation,

x2+y2=4y2=4-x2y=卤4-x2

Consider the second equation,

y=lnx.

02

Step 2 Now sketch a graph for the obtained equations.

In the graph, the two equations are intersecting at two points. They are, 1.89,0.64,0.13,-2.00.

So, the system has two solutions.

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Most popular questions from this chapter

Verify that the values of the variables listed are solutions of the system of equations.

2x-y=55x+2y=8x=2,y=-1;(2,-1)

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

xy=1;y=2x+1

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Solve the equation:

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Verify that the values of the variables listed are solutions of the system of equations.

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