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
Nataly [62]
2 years ago
9

Consider the following equations. f(x) = − 4/ x3, y = 0, x = −2, x = −1. Sketch the region bounded by the graphs of the equation

s and find the area of the region.
Mathematics
1 answer:
Sindrei [870]2 years ago
3 0

Answer:

1.5 unit^2

Step-by-step explanation:

Solution:-

- A graphing utility was used to plot the following equations:

                         f ( x ) = - \frac{4}{x^3}\\\\y = 0 , x = -1 , x = -2

- The plot is given in the document attached.

- We are to determine the area bounded by the above function f ( x ) subjected boundary equations ( y = 0 , x = -1 , x = - 2 ).

- We will utilize the double integral formulations to determine the area bounded by f ( x ) and boundary equations.

We will first perform integration in the y-direction ( dy ) which has a lower bounded of ( a = y = 0 ) and an upper bound of the function ( b = f ( x ) ) itself. Next we will proceed by integrating with respect to ( dx ) with lower limit defined by the boundary equation ( c = x = -2 ) and upper bound ( d = x = - 1 ).

The double integration formulation can be written as:

                           A= \int\limits_c^d \int\limits_a^b {} \, dy.dx \\\\A = \int\limits_c^d { - \frac{4}{x^3} } . dx\\\\A = \frac{2}{x^2} |\limits_-_2^-^1\\\\A = \frac{2}{1} - \frac{2}{4} \\\\A = \frac{3}{2} unit^2

Answer: 1.5 unit^2 is the amount of area bounded by the given curve f ( x ) and the boundary equations.

Download docx
You might be interested in
What ONE doesn't belong with the others, 60 mi/h, 88 ft/s, 500 ft/min, and 1,440 mi/day?
sp2606 [1]
500 feet does not belong
6 0
3 years ago
Please try to answer as many as possible. Thanks
Art [367]
For the first one the answer is 2
6 0
2 years ago
I need help with this question
Diano4ka-milaya [45]

Answer:

49 or 1

Step-by-step explanation:

answer 1 14+10+13+12=49 answer 2 (14+10)-(13+12)=1

5 0
3 years ago
The probability of picked a blue morble out of a bag of 50 marbles is 3/25. How Many marbles in the bag are not blue?
Sav [38]

Answer:

54 marbles that arent blue

Step-by-step explanation:

3/25 is equal to 6/50 (double both numbers).

If 6 of the marbles are blue, 50-6= 54

8 0
2 years ago
Find the slope given these two points. (-1, 4) and (4, -3)
Paraphin [41]

Answer:

-7/5

Step-by-step explanation:

Since we have 2 points, we can find the slope using

m = ( y2-y1)/(x2-x1)

   = ( -3 -4)/( 4 - -1)

   ( -3-4) /( 4+1)

   -7/5

3 0
3 years ago
Other questions:
  • Identify the properties used in Step 1 and Step 2 to solve the equation shown. Then discuss why those properties were used. Prob
    7·2 answers
  • Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding re
    12·1 answer
  • How do I simplify 18+4(28)?? I need answers soon lol
    6·2 answers
  • The table shows locations on a map. Place Location park (–2, 2) farmers market (–2, –3) post office (2, 2) bus stop (6, –3) Whic
    12·2 answers
  • Hello could I get help with this equation <br><br>11a+100=12​
    14·2 answers
  • 3. Use trigonometric ratios to solve for the variable. Show your work. Round lengths to the nearest tenth and angles to the near
    5·1 answer
  • Consider the expression<br>2⁶/2³<br>what is the value of the expression?​<br>its urgent
    13·1 answer
  • Multiply.<br> 12.1 x 104<br> o 1,210<br> o 121,000<br> o 1,210,000
    13·1 answer
  • Please help i rlly need itttt
    6·2 answers
  • If the length of a cube is l then find the area of cross section​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!