Answer:
The proof is shown in the explanation below.
Step-by-step explanation:
Analysis:
The proof by induction focuses on n. In this case, let n = 1, and
will be a linear operator since
The exercise will show that
is a linear operator on V and that
is also a linear operator on V. This, follows that:

Answer:
1/64
Step-by-step explanation:
Given the expression
3+4√4y = 4
4√4y = 4-3
4√4y = 1
√4y = 1/4
Square both sides
(√4y)²= (1/4)²
4y = 1/16
y = 1/16 * 1/4
y = 1/64
Hence the value of y is 1/64
Answer:
x=-12
Step-by-step explanation:
RemarkIf you don't start exactly the right way, you can get into all kinds of trouble. This is just one of those cases. I think the best way to start is to divide both terms by x^(1/2)
Step OneDivide both terms in the numerator by x^(1/2)
y= 6x^(1/2) + 3x^(5/2 - 1/2)
y =6x^(1/2) + 3x^(4/2)
y = 6x^(1/2) + 3x^2 Now differentiate that. It should be much easier.
Step TwoDifferentiate the y in the last step.
y' = 6(1/2) x^(- 1/2) + 3*2 x^(2 - 1)
y' = 3x^(-1/2) + 6x I wonder if there's anything else you can do to this. If there is, I don't see it.
I suppose this is possible.
y' = 3/x^(1/2) + 6x
y' =

Frankly I like the first answer better, but you have a choice of both.