Geometry
1 answer:
You might be interested in
Answer:
The equation for the curve is:
Step-by-step explanation:
We know that for a curve defined as:
y = f(x)
The slope of the curve at the point x is:
y = f'(x)
where f'(x) = df(x)/dx
Here we know that we have a function that passes through the point (0, 7)
We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))
Then we have two equations:
f(0) = 7
f'(x) = 2*f(x)
From the shape of the equation, we can assume than this is an exponential equation like:
Replacing that in the second equation, we get:
From that equation, we can conclude that k = 2
Then:
Now we can use the first equation:
f(0) = 7
With this, we can find the value of A.
Then we can conclude that the equation for the curve is:
Answer:
In descending order the function are represented as
Step-by-step explanation:
Whether it is increasing or is the larger or smaller number it all depends on its slope.
Equation of line ,and
is the slope.
So we will work with the slopes of each equations and arrange them in descending order.[Greater to larger number sequence]
Slopes are
We will equate the denominator by taking LCD of it then multiply numerator and denominator with a fix number which can bring all the denominator same.
LCD of the denominator
Example:
Similarly we will equate all the fractions.
So the slope are
In descending order the numbers are:
According to the option the right choice are as follows: