Answer:
Solution : Option B, or 9π
Step-by-step explanation:
We are given that y = x, x = 3, and y = 0.
Now assume we have a circle that models the given information. The radius will be x, so to determine the area of that circle we have πx². And knowing that x = 3 and y = 0, we have the following integral:
So our set up for solving this problem, would be such:
By solving this integral we receive our solution:
![\int _0^3x^2\pi dx,\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=> \pi \cdot \int _0^3x^2dx\\\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1}\\=> \pi \left[\frac{x^{2+1}}{2+1}\right]^3_0\\=> \pi \left[\frac{x^3}{3}\right]^3_0\\\mathrm{Compute\:the\:boundaries}: \left[\frac{x^3}{3}\right]^3_0=9\\\mathrm{Substitute:9\pi }](https://tex.z-dn.net/?f=%5Cint%20_0%5E3x%5E2%5Cpi%20dx%2C%5C%5C%5Cmathrm%7BTake%5C%3Athe%5C%3Aconstant%5C%3Aout%7D%3A%5Cquad%20%5Cint%20a%5Ccdot%20f%5Cleft%28x%5Cright%29dx%3Da%5Ccdot%20%5Cint%20f%5Cleft%28x%5Cright%29dx%5C%5C%3D%3E%20%5Cpi%20%5Ccdot%20%5Cint%20_0%5E3x%5E2dx%5C%5C%5Cmathrm%7BApply%5C%3Athe%5C%3APower%5C%3ARule%7D%3A%5Cquad%20%5Cint%20x%5Eadx%3D%5Cfrac%7Bx%5E%7Ba%2B1%7D%7D%7Ba%2B1%7D%5C%5C%3D%3E%20%5Cpi%20%5Cleft%5B%5Cfrac%7Bx%5E%7B2%2B1%7D%7D%7B2%2B1%7D%5Cright%5D%5E3_0%5C%5C%3D%3E%20%5Cpi%20%5Cleft%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%5D%5E3_0%5C%5C%5Cmathrm%7BCompute%5C%3Athe%5C%3Aboundaries%7D%3A%20%5Cleft%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%5D%5E3_0%3D9%5C%5C%5Cmathrm%7BSubstitute%3A9%5Cpi%20%7D)
As you can tell our solution is option b, 9π. Hope that helps!
The generic equation is:
y-yo = m (x-xo)
Where,
m = (y2-y1) / (x2-x1)
m = (0-1) / (4-3)
m = (- 1) / (1)
m = -1
The ordered pair is:
(xo, yo) = (4, 0)
Substituting values:
y-0 = -1 * (x-4)
y = -x + 4
Answer:
y = -x + 4
option 1
Answer:
y = 126.43
Step-by-step explanation:
Essentially what you have is the Cosine(50)
Cos(50) = adjacent / hypotenuse
adjacent = 122
hypotenuse = ?? = y
Solve
Cos(50) = 122/y Multiply both sides by y
y*cos(50) = 122 Divide by cos(50)
y = 122 / cos(50) Find the value of cos(50)
y = 122 / 0.96497 Divide
y = 126.43
Soory cant help to advanced
Yes because if you simplify them, both are going to give x= -3
