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The population of fish, P, in a lake is a function of time, t, measured in years. The rate of change of P is given by
a. Make another graph of dp/dt on the domain [0,20].
b. Estimate the change in population on the time interval 0 ≤ t ≤ 20 years. Use 10 intervals, each lasting two years. Use rate of change data from the midpoint of each interval. Shade a matching area in your graph.
Examples of the product rule of exponents: Sometimes when students see the rule they want to write it as 4^2 + 4^3 = 4^5. Can you explain why this does not work?
What is the expected point value of a random guess? Is it advantageous to guess under these circumstances?
Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18. Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.
for a whole life insurance policy issued to a life aged exactly 30 has an increasing death benefit sum insuredface
A, B started business with 50000,60000, C joined later after x months invested 70000 and B withdraws before x months to end of the year. Then what is the ratio of their profit?
The surface area of this pyramid is The area of the square base is . What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
A patient is being treated with laser therapy to remove a tumour that is located behind a vital organ. The tumor is 5.7 cm below the skin. To avoid the organ, the entry point of the laser must be 12.4 cm above the tumour along the skin.
Find is the median of the data
How many of the bulbs should she plant next fall if she would like at least 52 to bloom?
Final exam scores in a mathematics course are normally distributed with a mean of 66 and a standard deviation of 8. Based on the above information and a Z-table, fill in the blanks.
At the .01 level of significance, is there sufficient evidence to conclude that the mean bone marrow micro vessel density is higher before the stem cell transplant than after the stem cell transplant?
The bucket is filled with 40 pounds of water and is pulled up at a rate of 2.7 feet per second, but water leaks out of a hole in the bucket at a rate of 0.1 pounds per second. Find the work done pulling the bucket to the top of the well.
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