Answer:
Quadratic functions are those where their rate of change changes at a constant rate. Exponential functions are those where their rate of change is proportional to itself.
An example of a quadratic function would be the shape that a ball makes when you throw it. Gravity causes a constant acceleration, the ball slows down as it is moving up, and then it speeds up as it comes down.
An example of an exponential function would be the population of a bacterium as long as there is enough space and nutrients or how your money grows with compound interest in a bank.
A quadratic function is one in the form
f(x)=ax2+bx+c
It’s rate of change (first derivative) is linear.
f′(x)=2ax+b
The rate of the rate of change (second derivative) is constant.
f′′(x)=2a
Quadratics are then the solutions to the differential equation
f′′=C
An exponential function is one in the following form.
g(x)=Aekx
It’s rate of change is another exponential function.
g′(x)=Akekx
So exponentials are the solutions to the differential equation
g′=kg
Step-by-step explanation:
Yes. : )
Ok so
what we do is
how much greater=wasted space=cylindervolume-conevolume
volume of a cinlinder=hpir^2
volume of a cone=(1/3)hpir^2
we can alread sybsitute something
(3/3)hpir^2-(1/3)hpir^2=(2/3)hpir^2
so wasted space=(2/3)hpir^2
diameter=4
d=2r
d/2=r
4/2=2=r
and 6=height
so
2/3(6)(3.14)(2^2)
4(3.14)(4)
16(3.14)
50.24 in^3 wasted
Given:
The graph of function.
To find:
The correct statement for the domain and range of the given graph.
Solution:
Domain: The set of input values.
Range: The set of output value.
From the given graph it is clear that the graph represents a polynomial function.
The given graph of a polynomial function is defined for all real values of x. So, the domain is the set of all real numbers.
The graph of the function approaches from negative infinite to positive infinite. So, the output the given graph is set of all real numbers. It means the range is the set of all real numbers.
Therefore, the correct options are B and D.
Answer:
123
Step-by-step explanation:
insert 2 everywhere you see an x
11^2 +2 = 121+2 = 123
HOPE THIS HELPS!!!
You can draw 12 apples. Then for every 6 apples, draw a circle around it. The answer is the number of circles you draw which in this case is 2.
