Sam is ordering shirts online. The shipping is a flat rate of $5.99, and each shirts costs $12.50. He spent $80.99 in total. How
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The average rate of change within the function f(x)=is -2.
Given The function f(x)=
We have to search out the typical rate of change of function within the interval (-2,1).Interval is largely a variety between numbers lying on the quantity line which may be a line on which different numbers are plotted.
We know that average rate of change =f(b)-f(a)/(b-a)
we have to first know the values of function at different values of x.
f(x)=
f(1)=1-1-1
=-1
f(-2)=4+2-1
=5
b=-2
a=1
put within the formula:
A=-1-5/1+2
=-6/3
=-2
Hence average rate of change of the function within the interval (-2,1) is -2.
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Answer:
Step-by-step explanation:
The identities you need here are:
and
You also need to know that
x = rcosθ and
y = rsinθ
to get this done.
We have
r = 6 sin θ
Let's first multiply both sides by r (you'll always begin these this way; you'll see why in a second):
r² = 6r sin θ
Now let's replace r² with what it's equal to:
x² + y² = 6r sin θ
Now let's replace r sin θ with what it's equal to:
x² + y² = 6y
That looks like the beginnings of a circle. Let's get everything on one side because I have a feeling we will be completing the square on this:
Complete the square on the y-terms by taking half its linear term, squaring it and adding it to both sides.
The y linear term is 6. Half of 6 is 3, and 3 squared is 9, so we add 9 in on both sides:
In the process of completing the square, we created within that set of parenthesis a perfect square binomial:
And there's your circle! Third choice down is the one you want.
Fun, huh?