Answer:
- -1392.09
- -1744.43
- -1636.41
Step-by-step explanation:
using the given integral
calculate: Δx = (12-0) / 8 = 3/2
Xo = 0, f(x) = 
X1 = 3/2 , X2 = 3, X3 = 9/2, X4 = 6, X5 = 15/2, X6 = 9, X7 = 21/2, X8 = 12
Inputting the given values into the Trapezoid rule, midpoint rule and Simpson's rule to approximate the given integral with the specified value of n = 8
<u><em>Answer:</em></u>
(m×1/3)-6=y
<u><em>Step-by-step explanation:</em></u>
- Start with m as the unknown variable.
- Now multiple that by 1/3 to find that portion of m. (m×1/3)
- Lastly, subtract 6 and set the expression equal to y. (-6=y)
- Thus we get our final equation: (m×1/3)-6=y
Answer:
a) d= 2x + (54/x)
b) x = √27 m ≈ 5.2 m
Step-by-step explanation:
a) Given
The average number of drops = n
Height in meters from the point where the whelk is dropped = x
If n(x) = 1 + (27/x²)
Then, the total vertical distance the crow travels upward to open a whelk is the height (x) times the average number of times the crow has to fly upwards to try again
d = 2xn = 2x*(1 + (27/x²)) = 2x + (54/x)
b) To minimize the distance consider the first derivative
d' = (2x + (54/x))' = 2 - (54/x²)
and d' = 0 give us (x must be positive)
2 - (54/x²) = 0 ⇒ x = √27 m ≈ 5.2 m
Applying the geometric theorem, the measure of y = 9.
<h3>What is the Geometric Theorem?</h3>
The geometric theorem states that, h = √(ab), where h is the altitude of a right triangle, a nd b are the segments formed when the altitude divides the hypotenuse of a right triangle.
Thus:
y = altitude = ?
a = 3
b = 27
Substitute
y = √(3 × 27)
y = √81
y = 9
Therefore, applying the geometric theorem, the measure of y = 9.
Learn more about geometric theorem on:
brainly.com/question/10612854
Answer:
How has the use of digital image files changed the way we use and share photos and video?
Step-by-step explanation:
