Answer:
dy/dx=8
Step-by-step explanation:
note this differentiating a constant you get zero for that of a function like 8x you would use the index or power of x to multiply the coefficient of the x after substrate 1 from the power of the x putting that in writing for the above question we get
y'=dy/dx=(8*1)x^(1-1) - 0
y'=dy/dx=8x^0
y'=dy/dx=8
Hello it’s 25degree brother here’s the solution
Answer:
y = -5x -8
Step-by-step explanation:
_____________
We're being asked to find the values of y for
![\sqrt[3]{x}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%7D%20)
for specific values of x. Basically, we are taking the cube roots of these numbers.
![r(-2.197) = \sqrt[3]{-2.197} = -1.3\\\\ r(-1.331) = \sqrt[3]{-1.331} = -1.1\\\\ r(0) = \sqrt[3]{0} = 0 \\\\ r(1.331) = \sqrt[3]{1.331} = 1.1\\\\r(2.197) = \sqrt[3]{2.197} = 1.3\\\\r(-3.375) = \sqrt[3]{-3.375} = 1.5\\\\r(4.913) = \sqrt[3]{4.913} = 1.7\\\\](https://tex.z-dn.net/?f=r%28-2.197%29%20%3D%20%5Csqrt%5B3%5D%7B-2.197%7D%20%3D%20-1.3%5C%5C%5C%5C%20r%28-1.331%29%20%3D%20%5Csqrt%5B3%5D%7B-1.331%7D%20%3D%20-1.1%5C%5C%5C%5C%20r%280%29%20%3D%20%5Csqrt%5B3%5D%7B0%7D%20%3D%200%20%5C%5C%5C%5C%20r%281.331%29%20%3D%20%5Csqrt%5B3%5D%7B1.331%7D%20%3D%201.1%5C%5C%5C%5Cr%282.197%29%20%3D%20%5Csqrt%5B3%5D%7B2.197%7D%20%3D%201.3%5C%5C%5C%5Cr%28-3.375%29%20%3D%20%5Csqrt%5B3%5D%7B-3.375%7D%20%3D%201.5%5C%5C%5C%5Cr%284.913%29%20%3D%20%5Csqrt%5B3%5D%7B4.913%7D%20%3D%201.7%5C%5C%5C%5C)
Answer: trivial solution is the only solution to Ax = 0, therefore columns must be linearly independent.
Step-by-step explanation: Recall that the columns of A are linearly independent if and only Ax = 0 had only the trivial solution. Since Ax = b has at most one solution, therefore the only solution to Ax = 0 is the trivial solution and the column vectors must be linearly independent.
