Given
we are given a function

over the interval [0,5].
Required
we need to find formula for Riemann sum and calculate area under the curve over [0,5].
Explanation
If we divide interval [a,b] into n equal intervals, then each subinterval has width

and the endpoints are given by

For k=0 and k=n, we get

Each rectangle has width and height as

we sum the areas of all rectangles then take the limit n tends to infinity to get area under the curve:

Here




Now Area=

So the required area is 66.6 sq units.
Answer:
180 strips
Step-by-step explanation:
Note that:
1 yard = 36 inches
5 yards = x
Cross Multiply
x = 5 × 36 inches
x = 180 inches
Hence:
1 piece of fabric = 180 inches
How many 1-inch strips can be cut from the fabric?
180 inches = 1 piece of fabric
1 inch = x
x = 180 strips
First divide 32 by 8
32/8
=4
Then multiply the 4 by 3 to find out how many students in the class like to ride their bicycles to school
4x3
12 students is your answer
7 3/4
Step 1: Multiply 7 and 4.
7 x 4=28
Step 2:Add 3 to their product.
28+3=31
Step 3:The number so obtained is the numerator and the denominator remains the same.
Answer: 31/4
I think that is what you are looking for!
Hope that helps!!!
I would say probably the top left im not posititive sorry if u get it wrong