I'd have to say the second option, "<span>Billion gallons per day, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days"</span>
You are asking for the limit of a constant function.
The fact that is a constant function means that, for every input x you give to the function, the answer is always 3. So, for example,
And so on. The output doesn't depend on the input: it's always 3.
So, the limit you're asking for means: if my input approaches -3, what happens to the output? Well, we already know that the output doesn't depend on the input. So, the input can approach every value you want, but the answer will always be 3.
Answer:
Step-by-step explanation:
d₁ = 6 inches
r₁ = 3 inches
area = πr₁² = 9π in²
d₂ = 24 inches
r₂ = 12 inches
area = πr₂² = 144π in²
ratio of areas = (9π)/(144π) = 9/144 = 1/16
A simple way to get the dimensions is just to rearrange the equation.
<span>So in a.) (i'm going to assume t2 is t squared) </span>
<span>rearrange: </span>
<span>x = Bt2 ----> B= x/t2 </span>
<span>Now you are told that x is displacement (L) and t is time (T) so sub these in. </span>
<span>B= L/T2 Therefore the dimensions are L/T2. </span>
<span>In b.) following the same steps: </span>
<span>x = A sin(2πft) ----> A = x/sin(2πft) </span>
<span>The hint tells you that sin(2πft) is dimensionless so you can disregard that part. </span>
<span>A = x </span>
<span>A=L</span>
Answer: they are equal because the exponents are equal. Right there are in different order but they are still the same.
Step-by-step explanation: