Question

The left hand and the right hand sums are shown here.which could be the actual area under the curve for that interval?

Answer 1

Answer:

C_ 3.67

Step-by-step explanation:

The right-sum and left-sum are kinda opposite to each other when it comes to estimating the area value of the actual curve. As in...

If the right-sum is over estimating, then the left-sum must be underestimating.

If the left-sum is over estimating, then the right-sum must be underestimating.

So our actual value must lie somewhere between the value calculated by the right-hand-sum and the left-hand-sum

The question gave left-sum being 3.65 and right-sum being 3.683, so our value must lie between two two numbers. The only answer choice that is between 3.65 and 3.683 is 3.67.