Answer:
1.
E(3) = 0.29
2. See Below
Step-by-step explanation:
1.
According to the formula we would need the derivative, so lets first calculate the derivative of f(p) given.
The rules to use would be 
Also, remember to use chain rule if there is a function inside a function. So we differentiate the "inside" function again.
Now, lets differentiate:
Now, the E(p):
We find E(3) by substituting 3 into "p":
2.
When E(p) = 1, it means the price elasticity of demand is "1". It is the called Unitary Elastic Demand. It means that for every unit change in price, there is the same unit change in demand. The changes of demand and price are proportional to each other.
Answer:
Step-by-step explanation:
The square root is possible only if y≤0
if y>0 the expression lose meaning, in fact (-)(+)(+) = (-) and a square root of a negative number doesn’t exist. x^2 is a square so it is ever positive if x is not 0
if y≤0 can be rewritten as:
3(-27x^2y^7)^1/2
or if we want simplify the expression:
^1/2
we have to put the symbol of absolute value between x and y because a x^2 and y^6 are numbers that are ever positive, while x and y^3 can be also negative. Thanks to the simbol of absolute value we can “force” them to be positive
Answer:
y = 9x - 40
Step-by-step explanation:
Using the point-slope equation of a straight line is the fastest approach here, since we already have the slope and a point:
y - k = m(x - h) becomes y - 5 = -9(x + 5)
Solving for y, this becomes y = 9x + 5 - 45, or y = 9x - 40
Answer: 7.615
Step-by-step explanation:
Start at -150, then add 3(-5), then add 122.2. -150 + 3(-5) + 122.2 = -45.3
