Hmm, the 2nd derivitve is good for finding concavity
let's find the max and min points
that is where the first derivitive is equal to 0
remember the difference quotient
so
f'(x)=(x^2-2x)/(x^2-2x+1)
find where it equals 0
set numerator equal to 0
0=x^2-2x
0=x(x-2)
0=x
0=x-2
2=x
so at 0 and 2 are the min and max
find if the signs go from negative to positive (min) or from positive to negative (max) at those points
f'(-1)>0
f'(1.5)<0
f'(3)>0
so at x=0, the sign go from positive to negative (local maximum)
at x=2, the sign go from negative to positive (local minimum)
we can take the 2nd derivitive to see the inflection points
f''(x)=2/((x-1)^3)
where does it equal 0?
it doesn't
so no inflection point
but, we can test it at x=0 and x=2
at x=0, we get f''(0)<0 so it is concave down. that means that x=0 being a max makes sense
at x=2, we get f''(2)>0 so it is concave up. that means that x=2 being a max make sense
local max is at x=0 (the point (0,0))
local min is at x=2 (the point (2,4))
Answer:
4
Step-by-step explanation:
So your equation is 1.6(x-y)/2
Since x=10, and y=5, we need to substitute the amounts in to the equation.
so...
1.6(10 -5)/2
Using PEMDAS, parenthesis comes first. So solve what 's in the parenthesis (10 - 5).
So..
1.6(5)/2
Next, multiply 1.6 by 5.
1.6 x 5 = 8.
So you are left with the equation
8/2
and 8 divided by 2 is...
4!
Solution
Let take boat speed = x
Current speed = 4
Upstream = x - 4
Downstream = x + 4
Distance = 9
Time upstream + Time downstream = 10
Time = Distance/Speed
9/(x + 4) + 9/(x - 4) = 10
Solving this equation 9(x-4)+9(x+4) = 10(x^2 -16)
9x - 36 + 9x + 36 = 10x^2 - 160
18x = 10x^2 -160
10x^2 -18x - 160 = 0
Now solving the above quadratic equation, we get
x = 5 or x = -16/5
We ignore the negative value.
The answer is 5.
The speed of the boat in still water is 5mph.
Thank you.
Answer: A
Because for every a shirt it’s $12 each.
Therefore for example If you buy 3, it will cost 36
Hi there!
Finding the equivalen ratio means to find a equivalent numbers that’s equivalent to 6 and 7 which also means a number that 6 and 7 all goes into...
6,12,18,24,30,36,42
7,14,21,28,35,42
Final Result: 42