Find an approximation of the area of the region r under the graph of the function f on the interval [0, 2]. use n = 5 subintervals. choose the representative points to be the midpoints of the subintervals.
f (x) = x^2 + 5

The approximated area of the region is an estimate of the area covered by the region

The approximated area of the region is 12.64 square units

The given parameters are:

--- the sub intervals

--- the function

Start by calculating the length of each partition

So, the partitions are:

Calculate the midpoint of each partition

Calculate f(x) at the midpoints

Represent the function as a definite integral as follows:

Divide

Hence, the approximated area of the region is 12.64 square units

Read more about approximated areas at:

link

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

step-by-step explanation: