How to find the derivative of a root?<span>Use the rule to differentiate the following example, first simplifying the root and writing it as a fraction using the notation. Move 7/6 forward then decrease the power by 1. Use the definition of a derivative to differentiate f(x) = x^–1 = 1/x. First simplify the numerator then simplify and cancel as much as possible.</span>
Answer:
June gets 
Step-by-step explanation:
Let
x ----> amount of money Nick gets
y ----> amount of money June gets
we know that
-----> equation A
----> equation B
solve the system by substitution
substitute equation B in equation A
solve for y
Multiply in cross
Answer with Step-by-step explanation:
We are given that
Let g(x,y)=
We have to find the extreme values of the given function
Using Lagrange multipliers
Possible value x=0 or 
If x=0 then substitute the value in g(x,y)
Then, we get 
If and substitute in the equation
Then , we get possible value of y=0
When y=0 substitute in g(x,y) then we get
Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).
Therefore, the maximum value of f on the circle is 
and minimum value of 
Answer:
I.
A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4
Null space is exactly two dimensional plane
dim null (A) = 2
II.
Rank A = dim U - dim Null A = 5 - 2 = 3
III.
Number of linearly Independent columns of A is the rank of A = 3
IV.
Yes, The system Ax = b has no solution sometimes as range of A \neq V
V.
Yes,Sometimes Ax = b has a unique solution
VI.
Yes, sometimes Ax = b has infinitely many solutions
8.25x= 15 so....
15/8.25=x so....
1.81~=x so....
To the nearest dollar it 2$/lb
