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>. 
To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037
Answer: x = -1
Step-by-step explanation:
- 2x-3= - 4x+9
- 2x+4x = -9 + 3
- 6x = -9 + 3
- 6x/6 = -6/6
- x = -1
S={ 11 12 13 14 15 16 17 18
21 22 23 24 25 26 27 28
31 32 33 34 35 36 37 38
41 42 43 44 45 46 47 48...
.......}
P(e)=(1+2+3+4+5+6)/64
=21/64=0.328(B)
20m/s
Speed=distance/time
Speed = 100/5 = 20
Answer = 20m/s
Answer:
54.91
Step-by-step explanation:
64.6/x=100/85
(64.6/x)*x=(100/85)*x
64.6=1.17*x (divide both sides of the equation by 1.17 to get x)
54.91=x
x=54.91
now we have 85% of 64.6= 54.91