In this task, you will practice finding the area under a nonlinear function by using rectangles. you will use graphing skills in addition to the knowledge gathered in this unit. sketch the graph of the function y = 20x − x2, and approximate the area under the curve in the interval [0, 20] by dividing the area into the given numbers of rectangles.
1.use five rectangles to approximate the area under the curve.
2.use 10 rectangles to approximate the area under the curve.
3.calculate the area under the curve using rectangles as their number becomes arbitrarily large (tends to infinity). you do not need to sketch the rectangles.

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation:

“ a line segment that has the endpoints on the circle and passes through the midpoint is called the diameter. the diameter is twice the size of the radius. a line segment that has its endpoints on the circular border but does not pass through the midpoint is called a chord. a circle is the same as 360 small circle up the number 0 . i hope this .

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.