1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rosijanka [135]
3 years ago
12

Please anyone answer me

Mathematics
1 answer:
ollegr [7]3 years ago
3 0

Let's divide the shaded region into two areas:

area 1: x = 0 ---> x = 2

ares 2: x = 2 ---> x = 4

In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.

Area 1:

A\frac{}{1}  = ∫g(x)dx =  ∫xdx =  \frac{1}{2}  {x}^{2}  | \frac{2}{0}  = 2

Area 2:

A\frac{}{2}  = ∫(g(x) - f(x))dx

= ∫(x -  {(x - 2)}^{2} )dx

=  ∫( - {x}^{2}  + 5x - 4)dx

= ( - \frac{1}{3}{x}^{3} +   \frac{5}{2} {x}^{2}  - 4x)   | \frac{4}{2}

= 2.67 - ( - 0.67) = 3.34

Therefore, the area of the shaded portion of the graph is

A = A1 + A2 = 5.34

You might be interested in
Find the exact value for the expression under the given conditions.
Romashka [77]

Answer:

By  Pythagoras,

\displaystyle{r}=\sqrt{{{x}^{2}+{y}^{2}}}r=x2+y2 \displaystyle=\sqrt{{{\left(-{2}\right)}^{2}+{3}^{2}}}=(−2)2+32 \displaystyle=\sqrt{{{4}+{9}}}=\sqrt{{13}}=4+9=13

For this example, we define the trigonometric ratios for θ in the following way:

\displaystyle \sin{\theta}=\frac{y}{{r}}=\frac{3}{\sqrt{{13}}}={0.83205}sinθ=ry=133=0.83205

\displaystyle \cos{\theta}=\frac{x}{{r}}=\frac{{-{2}}}{\sqrt{{13}}}=-{0.55470}cosθ=rx=13−2=−0.55470

\displaystyle \tan{\theta}=\frac{y}{{x}}=\frac{3}{ -{{2}}}=-{1.5}tanθ=xy=−23=−1.5

 

\displaystyle \csc{\theta}=\frac{r}{{y}}=\frac{\sqrt{{13}}}{{3}}={1.2019}cscθ=yr=313=1.2019

\displaystyle \sec{\theta}=\frac{r}{{x}}=\frac{\sqrt{{13}}}{ -{{2}}}=-{1.80278}secθ=xr=−213=−1.80278

\displaystyle \cot{\theta}=\frac{x}{{y}}=\frac{{-{2}}}{{3}}=-{0.6667}cotθ=yx=3−2=−0.6667

3 0
3 years ago
Read 2 more answers
12.92 divided by 3.4 show work please
Rus_ich [418]
3.8 if u use long division u will get 3.8 hope that helps. Good luck too
5 0
4 years ago
In an arithmetic sequence, a3=15 and a8=0. What is the value of a5?
grin007 [14]
The value of a5 is 9
6 0
3 years ago
Need help with this struggling a bit.
Kaylis [27]
The answer is A hope it helps plz mark me a brainlest
6 0
3 years ago
Read 2 more answers
When rounded to the hundreds place, which of the numbers below round to 23,400? Select all that apply.
nevsk [136]

Answer:

I think the answer is B 23,345

7 0
2 years ago
Other questions:
  • The area of a semicircle is 2 times the area of a circle. <br><br> True or False?
    7·2 answers
  • An athletic league does drug testing of its athletes, 10 percent of whom use drugs. This test, however, is only 95 percent relia
    15·1 answer
  • Graph the function h(x) = |x| + 4
    6·1 answer
  • madysen took her age and doubled it. Then she took that result and created a sum with the number 5. Finally, she divided the sum
    11·1 answer
  • WILL GIVE BRAINLIEST AND 30 POINTS!
    11·1 answer
  • Find the measurement of ∠DOC Round your answer to the nearest whole number.
    12·2 answers
  • The table shows the linear relationship of the water level in a take and time
    13·1 answer
  • A regular ice cream cone is 5 inches tall and has a diameter of 2.5 inches. A waffle cone is 7 inches tall and has a diameter of
    9·1 answer
  • M * 4/5 for m equals 7/8
    7·1 answer
  • Find the circumference of the circle. please hurry
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!