Answer:
Step-by-step explanation:
n=8 f(x) = x² - 4x
convert [0,2] into 8 subintervals
width of each interval is
All subintervals are:
[0, 0.25], [0.25, 0.5], [0.5, 0.75], [0.75, 1], [1, 1.25], [1.25, 1.5], [1.5, 1.75] and [1.75, 2]
Let, be the right end point of each interval i=1,..8
Reiman sum is
Answer:
x = 15, y = 4
Step-by-step explanation:
To solve this, we have to define the triangles first. Since the triangles are congruent by HL, it means that the hypotenuse and the leg of the triangle are defined to be equal. By flipping one of the triangles upsidedown, we can visualize the hypotenuse of the triangles and the leg of the triangles (which are equal).
The two equations are the following:
If I add 1 to both sides of the second equation, I get the following equation:
By comparing this new equation with the first one, we will get:
We can ignore x+1 for now since y can not be solved.
By subtracting both sides of this equation by y, we will get.
This solves for y, where
Now, we can re-use one of the equations, which is
Now that we know y is 4, we can plug it into this equation.