3 years ago

Find the area of the shaded region of the graph

Mathematics

1 answer:

AURORKA [14]3 years ago

8 0

Answer:

9 units²

Step-by-step explanation:

A differential of area is ...

dA = ((2y -y²) -(y² -4y))·dy = (-2y² +6y)·dy

The indefinite integral of this will be ...

a = -2/3y³ +6/2y²

Then the definite integral over the limits [0, 3] will be ...

(-2/3·3³ +3·3²) - 0 = 9 . . . . square units

You might be interested in

What are the values of x and y in the parallelogram?

postnew [5]

9514 1404 393

Answer:

x = 60

y = 30

Step-by-step explanation:

Adjacent angles are supplementary.

(5x -180) +x = 180

6x = 360 . . . . . . . . . . add 180, collect terms

x = 60 . . . . . . . . divide by 6

Opposite angles are congruent.

2y = 60 . . . . . . 2y = x

y = 30 . . . . . . . .divide by 2

The value of x is 60; the value of y is 30.

6 0

3 years ago

Help me pleasse it’s really late

IceJOKER [234]

Answer:

120 yards

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Draw counters in the ten-frame to show each number

Juliette [100K]

first one is 1 the bottom is 10 2 in 20 3 in 30 4 in 40 5 in 50 6 in 60 7 in 70 8 in 80 9 in 90 then 100

4 0

4 years ago

A company makes a surplus of $61,050 for the year. The CEO plans to evenly split the surplus among the top 75 employees and rewa

kolbaska11 [484]

Answer:

Step-by-step explanation:

3 0

3 years ago

Which of the following shapes has the greatest number of lines of symmetry

jeyben [28]

Circle has the greatest number of lines of symmetry

6 0

4 years ago

Read 2 more answers