4ft, 9ft, 6ft because every sum of a combination of 2 sides has to be greater than the length of the third side.
Answer:
Negative: (-∞,-3] and [1/2,-∞)
Positive: [-3,1/2]
Step-by-step explanation:
The derivative is the instantaneous rate of change at any given point for a function. Given this we know that anywhere the function is in the positive or negative direction, the derivative will also be in the positive or negative direction. We also know that wherever there is a peak or a trough, there will be no slope and it signifies a change in direction. For this function, this means the direction changes at -3 and 1/2.
Step-by-step explanation:
Let y1 and y2 be (e^x)/2, and (xe^x)/2 respectively.
The Wronskian of them functions be
W = (y1y2' - y1'y2)
y1 = (e^x)/2 = y1'
y2 = (xe^x)/2
y2' = (1/2)(x + 1)e^x
W = (1/4)(x + 1)e^(2x) - (1/4)xe^(2x)
= (1/4)(x + 1 - x)e^(2x)
W = (1/4)e^(2x)
Since the Wronskian ≠ 0, we conclude that functions are linearly independent, and hence, form a set of fundamental solutions.
Answer:
1. -1/2b
2. 3a/b^2
3. 3b^2/1a^2
4. -1a^2b/2
Step-by-step explanation:
Simplified answers and then the variables cancel out each out as much as they can (That's the best way to explain it)
Alright, so if we wanted to take, for example, cell phone owners per 100 people and compare Germany to the USA, we can start by making up a number for Germany - 80 - and a number for the USA - 70. Next, the ratio of people using cell phones is 80/70=8/7 with the numerator being the people from Germany and the denominator being the number from the USA.
