Split up the interval [2, 5] into

equally spaced subintervals, then consider the value of

at the right endpoint of each subinterval.
The length of the interval is

, so the length of each subinterval would be

. This means the first rectangle's height would be taken to be

when

, so that the height is

, and its base would have length

. So the area under

over the first subinterval is

.
Continuing in this fashion, the area under

over the

th subinterval is approximated by

, and so the Riemann approximation to the definite integral is

and its value is given exactly by taking

. So the answer is D (and the value of the integral is exactly 39).
Answer:
Y = negative x + 9
Step-by-step explanation:
Find the equation of the line for side S-
m= 4-1/1-4 = 3/-3 = -1
<u>The Gradient is -1</u>
Since parallel lines share the same gradient, it should be either of the first two options.
We can see side Q shares the same gradient: 3-6/6-3= -1
Find the equation of the line of side Q-
y-y1= m(x-x1)
y-6= -1(x-3)
y-6=-x+3
<u>y= -x+9</u>
Answer:
(10a+5)²= 100 a( a+1) + 25
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given
(10a+5)²
By using (a+b)² = a² +2ab +b²
= (10a)²+ 2 × 10a× 5 + (5)²
= 100a² + 100a + 25
= 100 a( a+1) + 25
Estimate- 4,520
if you multiply -371954
Adding- 1779