Answer: 8.4 feet
Step-by-step explanation:
Given: Lumber required for each shelf = 
For each base side = 
For each door stile = 
Total lumber required = 
![=(2\times\dfrac{35}{4}+2\times\dfrac{25}{2}+2\times\dfrac{233}{8})\ in\\\\= (\dfrac{35}{2}+25+\dfrac{233}{4})\ in.\\\\=\dfrac{403}{4}\ in. =\dfrac{403}{4}\times\dfrac1{12}\ feet \ \ \ \ [1 feet = 12 \ in.]\\\\\approx8.4\ feet](https://tex.z-dn.net/?f=%3D%282%5Ctimes%5Cdfrac%7B35%7D%7B4%7D%2B2%5Ctimes%5Cdfrac%7B25%7D%7B2%7D%2B2%5Ctimes%5Cdfrac%7B233%7D%7B8%7D%29%5C%20in%5C%5C%5C%5C%3D%20%28%5Cdfrac%7B35%7D%7B2%7D%2B25%2B%5Cdfrac%7B233%7D%7B4%7D%29%5C%20in.%5C%5C%5C%5C%3D%5Cdfrac%7B403%7D%7B4%7D%5C%20in.%20%3D%5Cdfrac%7B403%7D%7B4%7D%5Ctimes%5Cdfrac1%7B12%7D%5C%20feet%20%20%5C%20%5C%20%5C%20%5C%20%5B1%20feet%20%3D%2012%20%5C%20in.%5D%5C%5C%5C%5C%5Capprox8.4%5C%20feet)
Hence, we will need 8.4 feet lumber.
Answer:
The answer is A
Step-by-step explanation:
This is a differential equations problem. We are to work backwards and determine the function f(x) when given f "(x) and initial values.
<span>f ''(x) = 12x^2 + 6x − 4, when integrated with respect to x, yields:
x^3 x^2
f '(x) = 12------ + 6----- - 4x + C, or 4x^3 + 3x^2 - 4x + C, and
3 2
x^4 x^3 x^2
f(x) = 4------- + 3------- - 4------ + Cx + D, or f(x)=x^4 + x^3 - 2x^2 + Cx + D
4 3 2
Now, because f(0)=5, 5=0^4 + 0^3 -2(0)^2 + C(0) + D, so that D=5.
Determine D in the same manner: Let x=1 and find the value of C.
Then the solution, f(x), is x^4 + x^3 - 2x^2 + Cx + 5. Replace C with this value and then you'll have the desired function f(x).</span>
1- 6
2- 4
3- 2
And that’s all I can tell you? It’s decreasing so I don’t think 10 would have any stars unless if negative numbers are allowed
