Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:
Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,
where . Each interval has length .
At these sampling points, the function takes on values of
We approximate the integral with the Riemann sum:
Recall that
so that the sum reduces to
Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:
Just to check:
Answer:
1,2,5
Step-by-step explanation:
C
explanation : the equation is division and since you don’t know what the variable x is, you multiply 3 and 12 to find x
Answer:
The answer is 30c^3y
Step-by-step explanation:
The LCM is the smallest number that all the numbers can divide in.
General Idea:
The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal.
Applying the concept:
Angles PBC and BAD are congruent by the <u>Corresponding Angle Theorem</u>.
Angles ABC and BAT are congruent by the <u>Alternate Interior angle Theorem</u>.