Answer:
9(2x - 9).
Step-by-step explanation:
The greatest Common factor of 18 and 81 is 9, so
the answer is 9(2x - 9).
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](https://tex.z-dn.net/?f=f%20%28%20x%20%29%20%3D%20-%20%5Cfrac%7B4%7D%7Bx%5E3%7D%5C%5C%5C%5Cy%20%3D%200%20%2C%20x%20%3D%20-1%20%2C%20x%20%3D%20-2)
- 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](https://tex.z-dn.net/?f=A%3D%20%5Cint%5Climits_c%5Ed%20%5Cint%5Climits_a%5Eb%20%7B%7D%20%5C%2C%20dy.dx%20%5C%5C%5C%5CA%20%3D%20%5Cint%5Climits_c%5Ed%20%7B%20-%20%5Cfrac%7B4%7D%7Bx%5E3%7D%20%7D%20.%20dx%5C%5C%5C%5CA%20%3D%20%5Cfrac%7B2%7D%7Bx%5E2%7D%20%7C%5Climits_-_2%5E-%5E1%5C%5C%5C%5CA%20%3D%20%5Cfrac%7B2%7D%7B1%7D%20-%20%5Cfrac%7B2%7D%7B4%7D%20%5C%5C%5C%5CA%20%3D%20%5Cfrac%7B3%7D%7B2%7D%20unit%5E2)
Answer: 1.5 unit^2 is the amount of area bounded by the given curve f ( x ) and the boundary equations.
Answer:
It is an integer(yes)
Step-by-step explanation:
It is a whole number that is negative.
Answer: Never
Step-by-step explanation: Let me know if you need an explanation.
Step-by-step explanation:
2x(squared)+9x+9=—1
2x(squared)+9x+9+1=0
2x(squared)+9x+10=0
multiply the coefficient of x and 10=2x10=20
2x(squared)+9x+10=0
look for two numbers that when added gives 9and when multiplied gives 20
2x(squared)+5x+4x+10=0
(2x(squared)+5x)+(4x+10)=0
find the number and letters that are common in the equations
x(2x+5)+2(2x+5)=0
(x+2) (2x+5)=0
x+2=0
collect like terms
x=0-2
x=-2
2x+5=0
collect like terms
2x=0-5
2x=-5
divide both sides by 2
2x/2=-5/2
x=-5/2
so x=-2 and -5/2