The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.
<h3>How to determine the instantaneous rate of change of a given function</h3>
The <em>instantaneous</em> rate of change at a given value of
can be found by concept of derivative, which is described below:

Where
is the <em>difference</em> rate.
In this question we must find an expression for the <em>instantaneous</em> rate of change of
if
and evaluate the resulting expression for
. Then, we have the following procedure below:




Now we evaluate
for
:

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. 
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Answer:
7x - 12 = 3x - 2
Step-by-step explanation:
Answer:
An equation represents the number of pieces of lasagna that are left after dinner is 
Step-by-step explanation:
Each piece of Lasagna is 1/6 of the pan
Let x be the number of pieces left
So, x pieces is
of the pan
We are given that After dinner 2/3 of a pan of lasagna is left.
So, 

x=4
So, Number of pieces left = 4
Hence An equation represents the number of pieces of lasagna that are left after dinner is 
Answer:
perpendicular lines
Step-by-step explanation: