Answer:
Step-by-step explanation:
![\int\bigg(x(x-6)^3\bigg)dx\Rightarrow\left[\begin{array}{ccc}x-6=u\\x=u+6\\dx=du\end{array}\right]\Rightarrow\int\bigg((u+6)u^3\bigg)du\\\\=\int(u^4+6u^3)du=\dfrac{1}{5}u^5+\dfrac{6}{4}u^4+C=\dfrac{1}{5}(x-6)^5+\dfrac{3}{2}(x-6)^4+C](https://tex.z-dn.net/?f=%5Cint%5Cbigg%28x%28x-6%29%5E3%5Cbigg%29dx%5CRightarrow%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx-6%3Du%5C%5Cx%3Du%2B6%5C%5Cdx%3Ddu%5Cend%7Barray%7D%5Cright%5D%5CRightarrow%5Cint%5Cbigg%28%28u%2B6%29u%5E3%5Cbigg%29du%5C%5C%5C%5C%3D%5Cint%28u%5E4%2B6u%5E3%29du%3D%5Cdfrac%7B1%7D%7B5%7Du%5E5%2B%5Cdfrac%7B6%7D%7B4%7Du%5E4%2BC%3D%5Cdfrac%7B1%7D%7B5%7D%28x-6%29%5E5%2B%5Cdfrac%7B3%7D%7B2%7D%28x-6%29%5E4%2BC)
Answer:
See below description.
Step-by-step explanation:
The function 
has the following characteristics:
- Factors:
- Zeros/roots: x=0, x=-2, amd x=1
- Positive leading coefficient
- Graph starts up, curves down through -2 on the x-axis and back up to 0 where it touches and curves down and back up again again. It comes down back through 1 and crosses.
- Its graph s the shape of a W.
- It has minimum values at -2.83 and -0.397
Answer:
64-16pi(not rounded)
64-50.27 = 13.73 (rounded)
Step-by-step explanation:
Square = side^2 - side =8 (4+4)
8*8 = 64
Circle area= pi r^2
16 pi = 50.27
Square-pi*r^2 = answer
64-16pi(not rounded)
64-50.27 = 13.73 (rounded)
1) to find perimeter we multiply length and breadth so to find breadth we divide the perimeter by the length. which means, 120 divided by 45 and its 62.5 so the answer for the 1st question is 62.5
2. if we multiply length with breadth to find perimeter, just like the first one we divide the perimeter by the breadth. which means, 250 divided by 50 and it will be 5
