Gavin and Jim are marking exam papers. Each set takes Gavin 48 minutes and Jim 1 hour. Express the times Gavin and Jim take as a
1 answer:
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<h2>Part 1.</h2>
Answer:
The limit of the difference quotient is simply the derivative, so we can express this as follows:
So our function is:
Taking the derivative, we have:
So the correct option is:
Answer:
The equation of the line that passes through the same point can be found as:
Where , so we need to find
. Plug in that x-value in the function we have:
And the slope is:
Then, the equation of the line is:
Answer: Shown below
As you can see below, the graph of the function of is continuous. This is so because we have plotted a polynomial function whose domain is the set of all real numbers. So the function is defined at the point
, so the derivative exists at this point, hence we can calculate a tangent line there. In conclusion, we get the graph shown below. The blue line is the tangent line while the red curve is the graph of
I took a picture of the answer for you.
