Find the average value of the function f ( x ) = 4 x 4 on the interval 2 ≤ x ≤ 5

The Formula for the Average Value of the function f(x) on the given interval [a,b] is

Thus the formula for the Average Value of the function on the interval [2,5] is given by

Thus the Average value of the function f(x)=4x^4 on the interval [2,5] is

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!