Help I suck at math
2 answers:
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Complete Question
A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 7 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches.Which of the Following could be used to calculate the volume of water in the vase?
Answer:
Step-by-step explanation:
From the question we are told that:
Diameter of vase
Number of marbles
Diameter of marbles
Height of water
Generally the equation for Volume of water in cylindrical vase is mathematically given by
Where Volume of the balls is
Therefore
<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