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1. Use Nekton's method and the function f(x) = xn - a to show that the general rule for approximating x = n√a is {(n - 1) xnn + a} / nxnn-1.
2. Use the linear approximation to estimate the change in volume of a right circular cone of fixed height h = 4m when its radius increases from r = 3m to r = 3.05m [v(r) = πr2h/3].
3. Find two positive numbers x and y such that "The sum of the First number squared and the Second number is 54 and the product of x and y is as large as possible.
Marine ecologists estimate the reproduction curve for swordfish in a fishing ground. Find the population that gives the maximum sustainable yield, and the size of the yield.
Find the vertical and horizontal asymptotes. Find the intervals where the function is increasing. Find the local maximum value. Find the intervals where the function is concave up.
Each time we take a bill, we put a star in the bin. Corresponds to taking $1, $5, $20, $100, $100. How to set up the problem: This time we have 6 bars separating the bins, and since we are taking 5 bills, there will be 5 stars. How many ways are t..
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
Find all maximum and minimum values of the function f(x) = 5(x^3) - 10(x^2)
What is the oldest age shared by two actors to win an award?
Calculate the mean and standard deviation of the distribution for your example. Binomial and Poisson Distributions in Real Life
Carolyn and kim are selling lemonade this fall. It costs $0.10 to make each cup of lemonade. They are going to sell each cup of lemonade for $0.30. What is the least number of cups of lemonade they need to sell in order to collect $10.00 more than..
If I have a right prism with the prism height being 8 and the prism base being an isosceles triangle with a base of 3 (sides of 6) what is the lateral area and the volume of the prism
1 has the content in this course allowed you to think of math as a useful tool? if so explain how?2 create a list of
A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 20 {rm ft}^3{rm /min}, how fast is the depth of the water increasing when the water is 13 feet deep?
Can someone please help me? I cannot figure out the formula for this problem. I have a test tomorrow and am so confused.
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