Answer:
10
Step-by-step explanation:
1, 1, 4, 6, 6, 12, 12, 13, 15
Using integration, it is found that the area of the shaded region is of units squared.
<h3>How is the area of a shaded region found?</h3>
- The area of shaded region, between two curves and , considering , between x = a and x = b, is given by the following integral:
In this problem, the curves are:
The limits of integration are: .
Hence:
Applying the power properties of integration:
Finally, applying the Fundamental Theorem of Calculus:
The area of the shaded region is of units squared.
To learn more about integration, you can take a look at brainly.com/question/20733870
9514 1404 393
Answer:
v = 39; w = 47; x = 94; y = 39; z = 47
Step-by-step explanation:
The figure shows v° and 51° are complementary, as are z° and 43°.
v° = 90° -51° = 39°
z° = 90° -43° = 47°
Vertical angles are congruent.
y° = v° = 39°
w° = z° = 47°
And the angle x° is a vertical angle with the sum of 51° and 43°.
x° = 43° +51° = 94°
S=6a²
a=8mm
S = 6 * 8² = 6 * 64 = 384 mm²