EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780135795910
Author: Demana
Publisher: PEARSON CO
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Expert Solution & Answer
Chapter P, Problem 68RE
Solution
The solution of the inequality 4x3−9x+2>0 .
The solution of the inequality is (−1.6,0.23)∪(1.37,∞) .
Given:
The inequality, 4x3−9x+2>0 .
Concept Used:
- If there is the strict inequality symbol < or> , then use a parenthesis () on the interval
- If there is the inequality symbol ≤ or≥ , then use a bracket []on the interval
- To graph the endpoint with strict inequality < or>, use the open parenthesis or a hollow circle at that endpoint.
- To graph the endpoint with inequality symbol ≤ or≥, use the bracket or a solid circle at that endpoint.
Calculation:
In order to solve the given inequality 4x3−9x+2>0 , plot the graph of the function y=4x3−9x+2 and locate the intervals where the graph is above the x -axis as shown below
Therefore, the solution of the inequality is (−1.6,0.23)∪(1.37,∞) .
Chapter P Solutions
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
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- Here is a region R in Quadrant I. y 2.0 T 1.5 1.0 0.5 0.0 + 55 0.0 0.5 1.0 1.5 2.0 X It is bounded by y = x¹/3, y = 1, and x = 0. We want to evaluate this double integral. ONLY ONE order of integration will work. Good luck! The dA =???arrow_forward43–46. Directions of change Consider the following functions f and points P. Sketch the xy-plane showing P and the level curve through P. Indicate (as in Figure 15.52) the directions of maximum increase, maximum decrease, and no change for f. ■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)arrow_forwardEX-let d'be ametric on a vector space X induced from a norm hx and d defind by a Slab)= {od (a, if a = b (a,b)+is ab Show that cannot be induced froman norm on X. 2) let à be trivel metric show that I cannot be induced from an norm on X- 3) let M be closed subspace of anormed spacex Construct the space X/Mas a normed space. 4) let Mix be vector space of 2x3 matrices on R write with Prove convex set and hyper Plane of M 5) show that every a finite dimension subspace of anormed space is closed.arrow_forward
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