BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.9, Problem 69E
To determine

Tofind:The solution of the interval on x-axis in which curve lies under x-axis.

Expert Solution

Answer to Problem 69E

The solution is interval on x-axis in which the curve lies under x-axis

  x[1,3] .

Explanation of Solution

Given: (x-2)2(x-3)(x+1)0

Concept used:

The lowest value or the roots is taken as minimum point where the solution exist.

The highest value or the roots is taken as maximum point where the solution exist.

The graph can predict the solution below x-axis.

Calculation:

Required:

  (x-2)2(x-3)(x+1)0

Solve the graphically the inequality

  1x3 or x[1,3] .

The solution is interval on x-axis in which the curve lies under x-axis.

  x[1,3] .

Graph of (x-2)2(x-3)(x+1) :

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.9, Problem 69E

Hence, the solution is interval on x-axis in which the curve lies under x-axis

  x[1,3] .

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