y² = 2x ⇒ x =
vertex (0, 0)
focus: ⇒ p = so focus is: ( , 0)
directrix: x =
The area enclosed by the curves y=x³-8x² 18x-5 and y=x + 5 is 71/6 or 11.83 square units.
<h3>What is integration?</h3>
It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have two curves:
y=x³-8x² 18x-5 and
y=x + 5
The intersection point will be:
(1, 6), (2, 7), and (5, 10)
From the graph, we can integrate to evaluate the area enclosed by the curves:
After calculating, we get:
Area = 142/12 = 71/6 or 11.83 square units
Thus, the area enclosed by the curves y=x³-8x² 18x-5 and y=x + 5 is 71/6 or 11.83 square units.
Learn more about integration here:
brainly.com/question/18125359
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Answer:
41/21km or 1 20/21km
Step-by-step explanation:
1) simplify fractions: 4 2/7 = 30/7 and 2 3/9 = 7/3
2) find common denominator: 90/21 - 49/21
3) subtract: 41/21
4) simplify: 41/21 or 1 20/21
Answer:
6, 13, 20
Step-by-step explanation:
just add a positive 7 to each term