There are 2 ways that spring to mind.
One is to use the definition of the derivative at a point:

In this case,
and
. Then

- - -
If you don't know about derivative yet (I would think you do, considering this is for a midterm in AP Calc, but I digress), the other way is to rely on algebraic manipulation. Multiply the numerator and denominator by the conjugate of the numerator to get

This is continuous at
, so the limit is the value of the expression at
:

<span>6*5.4*10^(-4)
=32.4*10^(-4)
move the decimal point, in scientific notation you only have a single digit with comma
=3.2*10^(-3)
so option A
to know if you have to increase or decrease the exponent you can write the intermediary steps out:</span>
32.4*10^(-4)=32.4/10^4=<span>(3.24*10)/(10*10^3)
reduce the fraction and you have the above solution
</span>
Answer:
Wheel1 = 147inches , wheel 2 = 113inches
Wheel 1 will travel 147 revolutions.
Step-by-step explanation:
Finding the circumference of both wheels
Wheel 1 = 2 pi r = 2 × 3.142 × 23.4 = 147.05 inches. To the nearest inches = 147inches
Wheel 2 = 2 pi × r = 2 × 3.142 × 18 = 113.11inches . To the nearest inches = 113inches.
I rotation = 1 revolution
In 1 rotation, wheel 1 will travel= 147 × 1 = 147 revolutions.