Approximate the integral ∫r∫ f(x, y) da by dividing the rectangle r with vertices (0, 0), (4, 0), (4, 2), and (0, 2) into eight equal squares and finding the sum ∑_(i=1)^8 f(x_i, y_i) δa_i, where (x_i, y_i) is the center of the ith square. evaluate the iterated integral and compare it with the approximation.∫_0^4∫_0^2 1 / (x+ y) (y+1) dy dx. (round your answers to one decimal place.)

Iterated integral = 1.8

Approximation = 1.7

Step-by-step explanation:

The iterated integral will be:

= 1.8 (since rounding one decimal place is asked)

The coordinates of each 8 squares are as following:

So, the approximation will be:

= 1.7 (since rounding one decimal place is asked)

Thus, the result from iterated integral and approximation is slightly different.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

if you explain the the question more correctly i might be able to answer this better

step-by-step explanation: