Answer:
Step-by-step explanation:
Let's first find the intersection points.
So intersection points for x = 0, 1 and for y = 0, 1.
Now, let's write x = y(2-y) instead of y.
![\int_D f(x,y)dA=\int\limits^1_0[x(2-x)-(1-\sqrt{1-x})]dx=\\\\= (x^2-\frac{x^3}{3} -x-\frac{2}{3}(1-x)^{\frac{3}{2} } )|^1_0=-\frac{1}{3} +\frac{2}{3}= \frac{1}{3}](https://tex.z-dn.net/?f=%5Cint_D%20f%28x%2Cy%29dA%3D%5Cint%5Climits%5E1_0%5Bx%282-x%29-%281-%5Csqrt%7B1-x%7D%29%5Ddx%3D%5C%5C%5C%5C%3D%20%28x%5E2-%5Cfrac%7Bx%5E3%7D%7B3%7D%20-x-%5Cfrac%7B2%7D%7B3%7D%281-x%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%29%7C%5E1_0%3D-%5Cfrac%7B1%7D%7B3%7D%20%2B%5Cfrac%7B2%7D%7B3%7D%3D%20%5Cfrac%7B1%7D%7B3%7D)
X² - 7x + 10 = 0
Let's factor out the equation first.
x² - 7x + 10
x -2
x -5
This factoring of (x-2)(x-5) fit the equation.
(x-2)(x-5) = 0
One of the factors must equal 0 as to equal zero.
Either x - 2 = 0 or x - 5 = 0
x - 2 = 0
x = 2
x - 5 = 0
x = 5
The two answers are x = 2 or x = 5. Hope this helps!
Answer:
y = 1/4 x - 2
Step-by-step explanation:
To write the equation of a line, find from the line the slope and y-intercept. The y-intercept is where the line crosses the y-axis which here is at point (0,-2).
The slope of the line is found by writing a ratio between the vertical distance and the horizontal distance between points.
Slope is 1/4.
Substitute m = 1/4 and b = -2 into the slope intercept form y = mx + b.
y = 1/4 x - 2
13. r= 16
14. r= 12
15. n= 12
16. k= 0
17. b= -9
18. m= -12
Answer:
12
Step-by-step explanation:
d=rx2
