Answer:
See Below.
Step-by-step explanation:
We want to estimate the definite integral:

Using the Trapezoidal Rule, Midpoint Rule, and Simpson's Rule with six equal subdivisions.
1)
The trapezoidal rule is given by:

Our limits of integration are from x = 1 to x = 4. With six equal subdivisions, each subdivision will measure:

Therefore, the trapezoidal approximation is:

Evaluate:

2)
The midpoint rule is given by:

Thus:

Simplify:

3)
Simpson's Rule is given by:

So:

Simplify:

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Answer:
0.09(x)=70
Step-by-step explanation:
Answer:
Angle 2= 110 degrees
Angle 3 = 70 degrees
Angle 4 = 70 degrees
Step-by-step explanation:
<u>Finding angle 2</u>
In the figure attached below,the angles 1 and 2 Corresponding angles
When two lines are crossed by another line that is called the Transversal, then, the angles in matching corners are called corresponding angles.
Corresponding angles are equal so
angle 2 = 110 degrees
<u>Finding angle 3</u>
Similarly 2 and 3 are consecutive angles and Consecutive angles are supplementary . That is the sum of the consecutive angles is 180 degree
then
angle 2 +angle 3 = 180
110 + angle 3 = 180
angle 3 = 180 -110
angle 3 = 70 degrees
<u>Finding angle 4</u>
Now angle 3 and angle 4 are alternate interior angle and they are equal
angle 3 = angle 4
so angle 4 is 70 degree