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
san4es73 [151]
3 years ago
15

The graph of f is given in the figure to the right. Let ​A(x)equals=Integral from 0 to x f left parenthesis t right parenthesis

font size decreased by 3 dt∫0xf(t) dt and evaluate ​A(4​), ​A(8​), ​A(12​), and ​A(14)

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Answer:

A(4)=-4\pi

A(8)=-4\pi +8

A(12)=-4\pi +16

A(14)=-4\pi +15

Step-by-step explanation:

we are given

A(x)=\int\limits^x_0 f{x} \, dx

Calculation of A(4):

we can plug x=4

A(4)=\int\limits^4_0 f{x} \, dx

Since, this curve is below x-axis

so, the value of integral must be negative

and it is quarter of circle

so, we can find area of quarter circle

radius =4

A(4)=-\frac{1}{4}\times \pi \times (4)^2

A(4)=-4\pi

Calculation of A(8):

we can plug x=8

A(8)=\int\limits^8_0 f{x} \, dx

we can break into two parts

A(8)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx

now, we can find area and then combine them

A(8)=-4\pi +\frac{1}{2}\times 4\times 4

A(8)=-4\pi +8

Calculation of A(12):

we can plug x=12

A(12)=\int\limits^12_0 f{x} \, dx

we can break into two parts

A(12)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx

now, we can find area and then combine them

A(12)=-4\pi +\frac{1}{2}\times 8\times 4

A(12)=-4\pi +16

Calculation of A(14):

we can plug x=14

A(14)=\int\limits^14_0 f{x} \, dx

we can break into two parts

A(14)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx+\int\limits^14_12 f{x} \, dx

now, we can find area and then combine them

A(14)=-4\pi +\frac{1}{2}\times 8\times 4-\frac{1}{2}\times 1\times 2

A(14)=-4\pi +16-1

A(14)=-4\pi +15

You might be interested in
22) Find the measure of angle A to the nearest degree. Find the length of side b, to tenths.
mr Goodwill [35]

Answer:

m∠A = 31

b = 13.3

Step-by-step explanation:

5 0
3 years ago
Which of the following expressions is equivalent to -5.4 - (2.1 + 1.8)?
Paul [167]

Answer:

its the first one

Step-by-step explanation:

7 0
3 years ago
Tara wants to put a white fence aroung the yard including the garden. Write an
Cerrena [4.2K]

The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 6 x 12 ft.

 

The amount of fencing needed is 2(6) + 2(12) = 12 + 24 = 36 ft of fencing

6 0
2 years ago
7m2 + 3m + 4m2<br> What is the answer to this
mylen [45]
I’m assuming the 2’s are supposed to be exponents so you’re gonna to combine 7m^2 and 4m^2 to get 11m^2 so you’re answer would be

11m2+3m

You dint know the value of M so you can’t solve it, especially because there’s no equal sign with a number or expression/equation after it.
8 0
2 years ago
Wot it's the missing number x9=6x3
vivado [14]
If i'm understanding this question correctly, i believe that it's 2. 
2*9=6*3
4 0
3 years ago
Read 2 more answers
Other questions:
  • What was the equation of the graph below before it was shifted to the right 1 unit? (equation was g(x)=(x-1.5)^3-(x-1.5))
    9·2 answers
  • There is a ratio of 2 boys to 3 girls in a class. Which of the following are correct ratios for the class?
    9·2 answers
  • Please help please cfgyy
    9·1 answer
  • Select the graph that represents the following inequality: Ix+2.5I&gt;1.5
    6·1 answer
  • The total surface area of this cuboid is 112cm squared find the value of x
    6·2 answers
  • Can anyone help with this?
    11·2 answers
  • Help with this question plzz
    6·1 answer
  • 152. divided by 190.
    6·1 answer
  • Factorise p^2 + q^2 +5(p^2 + q^2)​
    7·1 answer
  • 825 tickets were sold for a game for a total of $1,412.50. If adult tickets sold for $2.00 and children's tickets sold for $1.50
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!