This is the concept of sequences and series. The formula for geometric sequence is:
an=ar^(n-1)
where:
an=nth term
a=first term
r=common ratio
n=number of terms
thus the formula for the price of food in year n, that has initial price of $3.20 and it is growing at a constant rate of 4% will be given by:
a=$3.20
r=4/100=0.04
hence:
an=3.20(1+0.04)^n
an=3.20(1.04)^n
The answer is an=3.20(1.04)^n
The limit would present itself in the form
Obviously, you can't evaluate the two expressions
But since sine and cosine functions are always between -1 and 1, the sum of these will be a number between -2 and 2.
So, the limit presents itself in the form
Since you have the product of a quantity which tends to zero, sin(x), and a quantity which is bounded, cos(1/x^2)+sin(1/x^2).
Answer:
Here's what I get
Step-by-step explanation:
Assume the function is a parabola.
The function has a maximum, so the parabola opens downward.
The maximum is at (-4,2), so the maximum is in the second quadrant.
The figure may look like the diagram below.
Answer:
Step-by-step explanation: