Answer:
see explanation
Step-by-step explanation:
Given
V =  πr³
πr³
Multiply both sides by 3 to clear the fraction
3V = 4πr³ ( divide both sides by 4π )
 = r³ ( take the cube root of both sides )
  = r³ ( take the cube root of both sides )
r = ![\sqrt[3]{\frac{3V}{4\pi } }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%20%7D)
 
        
             
        
        
        
Answer:
i really dont know
Step-by-step explanation:
 
        
             
        
        
        
<span><span>fx</span>=<span><span><span>x3</span>−<span>4<span>x2</span></span></span>−<span>12x</span></span></span>.<span><span><span><span><span>fx/</span>x</span></span></span>=<span><span><span><span><span><span>x3</span>−<span>4<span>x2</span></span></span>−<span>12x/</span></span>x</span></span>
</span></span><span>f=<span><span><span>x2</span>−<span>4x</span></span>−<span>12</span></span></span>
        
                    
             
        
        
        
Answer:
C. T is not one-to-one because the standard matrix A has a free variable. 
Step-by-step explanation:
Given

Required
Determine if it is linear or onto
Represent the above as a matrix.
![T(x_1,x_2,x_3) = \left[\begin{array}{ccc}1&-5&4\\0&1&-6\\0&0&0\end{array}\right]  \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right]](https://tex.z-dn.net/?f=T%28x_1%2Cx_2%2Cx_3%29%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-5%264%5C%5C0%261%26-6%5C%5C0%260%260%5Cend%7Barray%7D%5Cright%5D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx_1%26x_2%26x_3%5Cend%7Barray%7D%5Cright%5D)
From the above matrix, we observe that the matrix does not have a pivot in every column.
This means that the column are not linearly independent, & it has a free variable and as such T is not one-on-one