Use your graphing calculator to solve the equation graphically in the interval [4,7]
1 answer:
Answer:
x = 5.200
Step-by-step explanation:
Given equation is,
x³ - 4.6x² - 7.03x = -20.332
x³ - 4.6x² - 7.3x + 20.332 = 0
By graphing this equation with the help of a graphing calculator,
Solutions of the equation are the points where y = 0.
In other words, x intercepts are the solutions.
Solutions for the given equation are,
x = -2.3, 1.7 and 5.2
Therefore, solution for the given equation in the interval [4, 7] is x = 5.200
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Answer:
Minimum: (x, y, p) = (6, 0, 6)
Maximum: (x, y, p) = (2, 8, 18)
Step-by-step explanation:
I find it easiest to solve problems like this graphically. In the attached graph, we have reversed all of the inequalities, so that the feasible region is white, rather than shaded 4 times. I find this makes it much easier to see. The dashed lines indicate that the boundary lines are part of the feasible region (not part of the space outside the feasible region).
Once the slope of the objective function is determined, it is easy to identify the vertices of the feasible region that will maximize or minimize it. P is minimized when its line is closest to the origin. It is maximized when it is farthest away from the origin.
We find ...
p is minimized at (x, y) = (6, 0), where p = 6.
p is maximized at (x, y) = (2, 8), where p = 18.
