vickydes4494 vickydes4494
  • 14-09-2019
  • Mathematics
contestada

If f(x)=7/x^2, then what is the area enclosed by the graph of the function, the horizontal axis, and vertical lines at x=3 and x=4

Respuesta :

jorgezarate
jorgezarate jorgezarate
  • 16-09-2019

Answer:

[tex]Area=\frac{7}{12}[/tex]

Step-by-step explanation:

[tex]Area=\int\limits^a_b {f(x)} \, dx =\int\limits^4_3 {\frac{7}{x^{2}} } \, dx =-7*\frac{1}{x}=-7(1/4-1/3)=\frac{7}{12}[/tex]

Answer Link

Otras preguntas

Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A?B?C?D?. If the coordinates of vertex A are (-7, 3),
Midwestern productivity allows the United States to
Select the correct answer.Given: BC || DE, and ∠GAC ≅ ∠AFD.----------------------------------------------------------What is the missing step in the proof?
A 25 kg circular disk has a diameter of 2.5 feet and a thickness of 2.5 cm. Find the density of the disk in kg/m3. Next, find the weight of the object. Then cal
The largest influence on American English today is _____. resettlement isolation technology war geography
x + 2y = 5 3x + 5y = 14 Solve the system of equations. (3, 1) (7, -1)
At the beginning of 1990​, 21.7 million people lived in the metropolitan area of a particular​ city, and the population was growing exponentially. The 1996 popu
Which expression is a sum of cubes?
On what factors capacitance of parallel plate capacitor depends?
value of y when 10= 2y+4