Rectangle areas are found by calculating height × width. the width of each rectangle equals δx and the height of each rectangle is given by the function value at the right-hand side of the rectangle. so we must calculate r4 = 4 f(xi)δx = [f(x1) + f(x2) + f(x3) + f(x4)] δx i = 1 , where x1, x2, x3, x4 represent the right-hand endpoints of four equal sub-intervals of 0, π 2 . since we wish to estimate the area over the interval 0, π 2 using 4 rectangles of equal widths, then each rectangle will have width δx = .

the answer is c. 23/3

is should be y = 5x

step-by-step explanation:

correct me if im wrong

it is 10.6 according to my calculations

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week