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
ipn [44]
1 year ago
10

The sum ∫2−2() ∫52()−∫−1−2() can be written as a single integral in the form ∫() determine and

Mathematics
1 answer:
kow [346]1 year ago
6 0

We have

\displaystyle \int_{-2}^2 f(x) \, dx - \int_{-2}^{-1} f(x) \, dx = \int_{-1}^2 f(x) \, dx

so that

\displaystyle \int_{-2}^2 f(x) \, dx + \int_2^5 f(x) \, dx - \int_{-2}^{-1} f(x) \, dx \\\\ ~~~~~~~~~~~~ =  \int_{-1}^2 f(x) \, dx + \int_2^5 f(x) \, dx \\\\ ~~~~~~~~~~~~ = \boxed{\int_{-1}^5 f(x) \, dx}

You might be interested in
5y = 3478 - 3c if the equation above, c is a constant. If y = 8 is a solution to the equation, what is the value of c?
docker41 [41]
What you would do is simply plug in 8 where y is and solve.
5(8)=3478-3c -Times 5 by 8
40=3478-3c  -Add 3c to the opposite side of the equal sign
40+3c=3478  -Subtract 40 from the opposite side of the equal sign
3c=3438  -Divide equation by 3
 c=1146

Hope this helps! :)
5 0
3 years ago
The ratio between the length and the breadth of the park is 3:2. if a man cycling along the boundary of the park at the speed 12
Ilia_Sergeevich [38]
D is answer.
Perimeter is 2x +3x +2x + 3x = 10x where x is unknown factor of distance.
So P = 10x
Velocity is 12 km/hr = .2 km/min
P =1.6 Km = 10x
x= .16 Km 3x = .48 km, 2x=.32 km
Area = .48 X .32 Km^2
= 153600 m^2
4 0
2 years ago
Read 2 more answers
wrote an equation for the line. passing through (-5,7) and parallel to the line whise equation is 5x-3y-4=0​
xeze [42]

Step-by-step explanation:

5x-3y-4=0---------(1)

Slope = - coefficient of X/ coefficient of y

= -5/(-3)

= 5/3

(x1,y1)= (-5,7)

Equation of the line,

Y-Y1= slope(X-X1)

Y-7= (5/3)×(X-(-5))

Y-7= (5x+25)/3

3y-7=5x+25

5x-3y+32=0 is the required eqn

3 0
3 years ago
HELP ASAP
boyakko [2]

Answer:

Linear would be fine as it doesn't decrease to under zero

and a curve graph would represent this data fine at 10818 turning point.

Step-by-step explanation:

6 0
2 years ago
8. A carpenter cut the top section of a window frame with a 37 degree angle on each end. The side pieces each have 50 degree ang
marshall27 [118]

Answer:

I will assume that the end of the top section if it were cut at 0 degrees would be cut at right angles to the length of the section.  

Joining a top section with a 37 degree end angle to a side piece with a 50 degree end angle will result in the length of the side piece being at an angle of  

37 + 50 = 87 degrees to each other.  

The same will be true for the other side.  

If the sides were parallel, then going up one side, across the top and then down the other side will result in a change of direction of 180 degrees. However, in this frame the direction turns 87 degrees at the first top corner and another 87 degrees at the second top corner. This is a total of  

87 + 87 = 174 degrees instead of 180 degrees.  

The two sides diverge at an angle of  

180 - 174 = 6 degrees from each other as they extend downwards from the top of the frame

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Which equations could be used to solve for the unknown lengths of ABC? Check all that apply.
    6·1 answer
  • Oceanside bike rental shop charges 18 dollar plus 8dollars an hour for renting a bike. Benny pain 58 dollars to rent a bike a bi
    11·1 answer
  • What is the coefficient for 3x2- 4x+ 1
    6·1 answer
  • Jeffrey thinks that the largest place value that 8.21 and 19.5 have in common is the tens place. Austin thinks that the largest
    9·1 answer
  • What angle measure is supplementary to a 95° angle?
    11·2 answers
  • URGENT!! PLEASE HELP 30 POINTS! FAKE ANSWERS REPORTED
    9·1 answer
  • Over which of the following intervals is the function below increasing at the greatest average rate? y=3log₂(x)-1
    10·1 answer
  • Which expression is equal to 4?
    15·1 answer
  • Describe a sequence ​
    10·1 answer
  • What's the 100th term of 2,4,6,8,10,12,14
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!